From the Territory of Recovery to Sustainable Development: a Methodological Concept of Effective Socio-economic Development of Ukraine after the War Development

The article is devoted to substantiating theoretical and methodological foundations and developing practical approaches to effective socio-economic development of Ukraine after the war, based on the concept of sustainable development. The study substantiates the need to build a fundamentally new economic model of post-war development of the territories of Ukraine, based on the rejection of raw material exports. It is proved that sustainable development forms the conceptual basis in the post-war economy of Ukraine. The concept of conversion of territories is proposed and the reasons are given for the need for their distribution according to the added value and quality of life of the population. The practical value of the matrix method in the division of territories according to their functional purpose is substantiated. Sets of estimated indicators of economic and social results and effectiveness of Ukraine's recovery after the war for territories to be restored and territories of sustainable development have been developed. The procedure for assessing the effectiveness of socio-economic development of Ukraine after the war is structured. The expediency of interpreting an integral indicator based on the generalized Harrington desirability function is justified.


Introduction
The events of the last decades in Ukraine allow us to conclude that the country is at a fundamentally new stage of its development. This tendency is associated with a number of trends, including both global transformations and local changes: reorientation of the entire world community to the Sustainable Development Goals, 4 th Industrial Revolution and as a result digitalization of social life, two maidans, the COVID-19 pandemic, a full-scale war with Russia, started on February 24, 2022. All this significantly affected not only the change in Ukrainian realities, but also reflected on the European foundations. The dependence and subordination of processes taking place in Ukraine with other European countries is reflected in statements, interviews, articles of politicians, scientists, experts in the field of economics, sociology, ecology, etc. Thus, according to Deputy Chairman of the European Commission Josep Borrel: the war in Ukraine not only took thousands of lives, but also caused serious economic damage to the whole world. We will have to copeboth inside and outside the EUwith the consequences of this third in the last 15 years asymmetric shock (Borrell, 2022). Despite serious challenges, Ukraine continues to integrate systematically into the European space. The government makes maximum efforts to accelerate the country's entry into the EU. Among the recent achievements, we can note the adoption by the Parliament of the law on media. This is a historical decision, since Ukrainian legislation, despite its 30-year Independence, functioned under the conditions of slightly improved post-Soviet legislation. The Parliament supported the law on improving the procedure for competitive selection of candidates for the position of Judge of the Constitutional Court of Ukraine. It is impossible not to note the significant progress in the field of sustainable development. In this regard, since 2015, A Sustainable development strategy has been developed and implemented in Ukraine. In 2017, the National basic report Sustainable Development Goals: Ukraine was adopted, which nationalized the global goals of the SDGs. Resolution No. 686-p of the Cabinet of Ministers of Ukraine dated August 21, 2019 on the issue of data collection for monitoring the implementation of sustainable development goals (hereinafter referred to as the SDGs) approved a nationalized list of SDG indicators that form the basis of the author's proposals. In addition, starting from 2019, the State statistics service of Ukraine has the authority to provide conditions for the collection and publication of these data and coordinate the development of metadata by indicators. Moreover, in 2020, the State statistics service of Ukraine, together with the independent analytical platform VoxUkraine, with the support of UNDP in Ukraine, conducted a pilot project to measure progress in achieving SDGs in Ukraine using the methodology of the UN Economic and social commission for Asia and the Pacific (hereinafter referred to as ESCAP) and on the basis of a Voluntary national review of SDG (Shevtsova, 2020). For the purpose of effective post-war recovery of Ukraine, on April 21, 2022, the president of Ukraine signed an order to form a National council for the recovery of Ukraine from the consequences of the war, and on May 2, a recovery plan was presented to the Committee on economic development of the Verkhovna Rada (National Council for the Recovery of Ukraine from the Consequences of War, 2022). In this regard, Ukraine has begun to activate all the processes associated with the post-war recovery, in particular, the loss of the economy due to war is already being monitored, according to which, as of the beginning of October 2022, direct losses from the war amounted to 1 127.4 billion US dollars (destruction and damage of physical assets). Indirect losses were estimated at another 1 161.8 billion US dollars (loss of income and additional expenses) (Economic losses due to war, 2022).
Within the framework of the event Results of 2022 held by the ad hoc think tank Assistance, the agenda of which was called: According to what principles Ukraine should live in 2023 for effective recovery and sustainable development, the participants unanimously voiced the acute need for joint cooperation of EU countries not only during the period war in Ukraine, but after its end (Mazur, 2023). The need to search for new approaches to the restoration of Ukraine, taking into account its integration into the European space, as well as further joint sustainable development of the EU countries, was discussed within the framework of a large-scale event led by the scientific community of Ukraine, an expert discussion Strategy for the post-war restoration of Ukraine, conducted at the initiative of the Department of economics of the National Academy of Sciences of Ukraine (hereinafter referred to as NASU) on the basis of the National Institute for Strategic Research (National Institute of Strategic Studies, 2022). As a result, scientists determined key vectors and terms of post-war recovery of Ukraine, including: restoration of the pre-war level of quality of life of the population by 2027; achievement of the main socio-economic parameters of Eastern European countries by 2032 (Presentation of the post-war recovery strategy from NISD, 2022). The directions of the most relevant areas of scientific research for the future period are outlined, among them: the study of the effectiveness of post-war recovery, the development of a set of evaluation indicators, the formation of monitoring, as well as the development of methodological recommendations for assessing the effectiveness of post-war recovery. Being interested in successful liquidation of the war consequences and further development of the country as a part of the European Union, scientists of the Institute for Economic and Legal Research of the National Academy of Sciences, in the framework of the research 0122U002121 Development of priority development territories under the conditions of the armed conflict: results and efficiency evaluation, are working on the creation of a method to assess efficiency of reconstruction of the affected territories; intermediate results are presented in the text of this article. The proposed conceptual approach, according to the authors, ensures sustainable development of the country in the post-war period by creating a strong, socially responsible, modern open competitive economy of equal opportunities, comfortable for people's lives, strategically and fully integrated into the European and global economic environment capable of forming a reliable financial, economic and defensive potential sufficient to repel any type of military and economic aggression. In this regard, the study purpose is the substantiation of theoretical and methodological foundations and development of practical approaches to effective socio-economic development of Ukraine after the war based on the concept of sustainable development. This goal made it necessary to solve a number of tasks: to substantiate the expediency of building a fundamentally new economic model of post-war development of the territories of Ukraine, based on the rejection of raw materials exports, to form conceptual provisions regarding the state regional policy and the policy of restoring regions and territories on the basis of sustainable development, to expand the scientific vision of the theory of efficiency taking into account sustainable development, to develop effective applied tools for assessing the effectiveness of socioeconomic development of Ukraine after the war in the context of sustainable development. The object of the study is the effective socio-economic development of Ukraine after the war based on the concept of sustainable development. The subject of the study is theoretical, methodological and practical approaches to the effective socio-economic development of Ukraine after the war based on the concept of sustainable development.

Methodology and previous results
It should be noted that the scientific results presented for consideration are a continuation of the study started in June 2022, the methodological basis of which was a set of methods of scientific knowledge, general scientific and special methods. The study procedure is shown in (Fig. 1). The authors have previously formed a theoretical and methodological basis based on fundamental provisions of economic theory, regional economics, regional management, scientific papers of domestic and foreign scientists on sustainable development of regional economies, which allowed to establish a co-subordination of the categories of result, effect, efficiency, effectiveness and are reflected in the previously published article From result to efficiency: the socio-economic context of the priority development territories . This also allowed us to form our own vision of the essence of the category effective restoration of territories, under which the authors understand not only the return to pre-war state, but full development and integration into the European community on the basis of sustainable development. Consequently, sustainable development is the basis for the post-war recovery of the Ukrainian economy. Conceptual provisions of defining the social optimum, the essence of which is to combine the well-being of society with the rational placement of resources, technologies, production processes, etc., described in the papers of V. Pareto and D. Synok, allowed us to come to a conclusion about the feasibility of considering the category effective socio-economic development of territories through the state, and not the attitude, as is accepted in the theory of economic efficiency. This approach allows us to move away from the traditional understanding of the essence of efficiency, due to which the consumer society focused on economic benefits for many years while ignoring the social and environmental aspects, slowing down the transition to sustainable development.

Description
Comparison 7. Conceptual provisions regarding the state regional policy and the policy of restoring regions and territories based on the principles of sustainable development have been formed. 8. Effective applied tools for assessing the effectiveness of socio-economic development of Ukraine after the war in the context of sustainable development have been developed. 9 Conclusions Figure 1. Procedure for studying the effective socio-economic development of Ukraine after the war in the context of sustainable development, source: own elaboration Key conclusions regarding the effectiveness of Ukraine's socio-economic development after the war are based, among other things, on methodological guidelines for measuring the effectiveness of the economy and social progress developed by Nobel Prize winners Joseph Stiglitz, Amartya Sen and Jean-Paul Fitoussi, who concluded that well-being includes both economic resources, income and non-economic aspects of people's lives (what they do and what they can do, how they feel, what kind of natural environment they live in). The sustainability of these levels of well-being depends on our ability to pass on to future generations the accumulated assets that are important for our lives (natural, physical, human, social ones). Therefore, it is important to distinguish between the assessment of current well-being (which the authors consider as a result) and the assessment of its stability over time (this is efficiency) (Report of France, 2011). This idea, combined with the judgments of V. Pareto and D. Synok allowed us to conclude that the socio-economic state of development before and after the introduction (implementation) of restorative measures should be understood under the effectiveness of Ukraine's development after the war (compiled by the authors). At the same time, this condition is determined by evaluating not individually, but in the totality (as a single set) of indicators (see clause 3.2). Moreover, the developments of Joseph Stiglitz, Amartya Sen and Jean-Paul Fitoussi, namely their proposals for changing the statistical accounting system and the role of GDP in the assessment of our life, allowed us to argue the concept of territory conversion and form sets of indicators for each type. Considering fair doubts about GDP as an indicator of the well-being of society, which does not take into account the economic inequality or consequences of economic decisions for the environment, but is focused only on economic growth, in work, the distribution of territories by their functional purpose, it is proposed to take into account such indicators as added cost and quality of life of the population by region (see clause 3.1). The urgency of creating new measurement systems was noted in 2012 at the Conference of the United Nations Organization for sustainable development in Rio de Janeiro. In clause 12 of the Draft resolution presented by the president of the General Assembly The future we want states that humanity needs to move to new indicators of measuring human progress We have fulfilled the decision to take urgent steps to ensure sustainable development. Therefore, we confirm our commitment to sustainable development, an assessment of the progress made to date (...) and declare our readiness to resist new and emerging challenges (Draft resolution The future we want, 2012). The information base of the research was the legislative norms of Ukraine and the countries of the European Union, the research of domestic and foreign scientists, in terms of normalizing the effective socio-economic development of territories. In particular, the main methodological and applied developments are based on the law of Ukraine

Territory conversion concept
The quintessence of the author's proposal is that the sets of indicators (see clause 3.2) are constructed taking into account different types of territories that are provided for in the Law of Ukraine On amendments to certain legislative acts concerning the principles of state regional policy and the policy of restoration of regions and territories (Cabinet of Ministers of Ukraine, 2022). The proposed approach allows us to take a substantive approach to determining the priorities of post-war development, since territories differ from each other, both in basic conditions and development opportunities, and in the degree of destruction as a result of military operations. As a tool for dividing territories by functional purpose, in order to further rank them and compare them in the obtained system of final results, we suggest using the matrix method, a schematic representation of which is shown in (Fig. 2).
It is worth noting that the concept of territory conversion is based on the matrix of the Boston Consulting Group proposed in 1968 by the founder of the BCG, Bruce D. Hendersen, which is a tool for strategic analysis and planning (Henderson, Bruce, 2008) having two indicators: 1) market share and 2) production scale effect. The essence of this concept is that depending on the time and effort of investors, the state, business and ordinary citizens, the values of indicators will change, thereby causing conversion (from Latin conversiotransformation) of territories. So, for example, thanks to the complex actions of these entities, territories to be restored can move into the category of regional growth poles, or immediately evolve into a quadrantterritories of sustainable development ( fig. 2). In other words, it is not necessary that the territories to be restored must go through the entire cycle. Each territory that can evolve as quickly and efficiently as possible, or vice versa, is not effective. This dependence shows the effectiveness of restoration, in which territories of sustainable development are a kind of standard, a vector that determines the most desired degree of efficiency. The advantage of the matrix method is its versatilitythis explains the popularity of its use in the EU countries. So, in particular within the framework of the regional policy of the EU countries (Europa. Overviews. Regional Policy, 2022) based on the matrix method, territories are typologized and separated by development periods (stages of the life cycle of territories). European classification is based on 2 indicatorsoutput per capita and population density of the territory (Europa. Overviews. Regional Policy, 2022). This allows making comparisons with other countries and identifying which category they belong todeveloped or developing. Taking into account the purpose of the study, we consider it appropriate, when dividing territories according to their functional purpose, to use such indicators as: 1) Added cost (X-axis), which includes labour remuneration, depreciation and profit, allows us to answer the question: who creates goods and who makes a profit from them? That is, we can reflect the economic essence without ignoring the social component, which is not included in the GDP indicator. A similar point of view is reflected in the papers of Gregor Linden, Jason Dedrick and Kenneth Kraemer, who investigated global value chains using the example of Apple's iPad and iPhone, counting the number of people directly involved in the design, manufacture, transportation and sale of the iPod, while establishing a significant difference in wages for certain groups of workers (Kenneth L. Kraemer, G. Linden and J. Dedrick, 2011). Thus, we conclude that in the context of sustainable development, it is the added cost that allows us to draw objective conclusions about the effectiveness of the development of the territory's economy.
2) The second indicator, on the basis of which we can determine the social component in terms of the quality of life of the population (Y-axis)an integral indicator that is used in interstate comparison and measurement of the standard of living, literacy, education and longevity, as the main social characteristics of the territory under study. Thus, the distribution of territories based on these indicators will reflect the degree of compliance with the level of human life expectancy, the level of well-being and development of each member of society achieved by the national economy at a certain point in time. As the initial information base for the distribution of territories according to their functional purpose, are the reports of the Ministry of development of communities and territories of Ukraine, in particular: Analysis of socio-economic development of regions and the Kyiv city, Rating assessment of regions, data from the State statistics service of Ukraine. It is worth paying attention to the fact that the indicators value added cost and quality of life of the population have different units of measurement. This requires bringing them to a common dimension. With this in mind, we propose to translate them into relative ratings using the same procedure that is proposed below for building ratings (formulas 1-3). After that, the territories are distributed according to their functional type and the effectiveness of socio-economic development is directly evaluated.

Indicators of territories to be restored and territories of sustainable development
In this section, two of the four sets of assessment indicators are proposed: for territories to be restored and territories of sustainable development, which form the basis of the methodology for assessing the effectiveness of socio-economic development of Ukraine after the war. A set of assessment indicators is a set of indicators built according to certain principles that reflect social and economic results and contribute to establishing the causes and consequences of (not) effective restoration of territories (compiled by the authors). It should also be noted that the author's developments are based on a comprehensive, security-oriented approach. It is based on a number of principles that you can get acquainted with . According to the law of Ukraine On amendments to certain legislative acts of Ukraine concerning the principles of state regional policy and the policy of restoration of regions and territories, territories to be restored (hereinafter referred to as TR) are micro-regions, territorial communities on the territory of which military operations took place and/or which were temporarily occupied, and/or territories, the critical infrastructure, social infrastructure, housing stock facilities of which were destroyed as a result of military operations, as well as which are characterized by a sharp deterioration in the level of socio-economic development and significant movement of the population to other regions and/or other states (Cabinet of Ministers of Ukraine, 2022). As we can see, in this definition, the emphasis shifts towards a sharp deterioration in the socio-economic situation due to the destruction of infrastructure facilities and the outflow of the population precisely because of the war. In this regard, the key indicators will be the rate of restoration of infrastructure facilities and the rate of migration (return) of the population (table  1). Table 1 WBinpace of restoration of infrastructure facilities It shall be noted that in case of territories to be restored, we are talking about evaluating the result, not efficiency, which is due to the author's understanding of these categories, as mentioned earlier (see methodology and previous results). Territories of sustainable development (hereinafter referred to as TSD) are defined as self-sufficient micro-regions, territorial communities with the existing socio-economic potential of territories that are capable of balanced development in the economic, social and environmental spheres (Cabinet of Ministers of Ukraine, 2022). This type of territory is considered the most ideal, reference, highest due to the fact that the TSD, unlike other types, has the necessary conditions and opportunities for effective functioning. Accordingly, the ultimate goal of other functional types is to achieve the TSD type through conversion.  IPVGDPindex of physical volume of GDP,%; WEhlshare of exports of goods using high-level technologies, in total exports %; CRfacoefficient of return on fixed assets; W EP20-64share of employment of the population aged 20-64, %; WHM share of young people who do not work, do not study, do not acquire professional skills, %; WEhw share of employees engaged in work with harmful working conditions,%; WESBEshare of working employees in SBE, million people; WVAC-pcSBEshare of value-added cost in terms of production costs of SBE, %.

Industry, Innovation and infrastructure
DFSFEAdepreciation of fixed assets FEA. To types of economic activity Transport, warehouse management, million UAH; ЕТdomelectric transport in domestic traffic, units; VACPvalueadded cost of production of the enterprises, million UAH; NEinnumber of employees of enterprises belonging to, thsnd. persons; ERDexpenses for research and development, million UAH; SIPsold innovative products, million UAH; IScoverage of the population with internet services, thsnd. persons.
І DFSFEAlevel of depreciation of fixed assets acc. To types of economic activity Transport, warehouse management, %; WЕТdomshare of е electric transport in domestic traffic, %; WVACP share of value-added cost of production of the enterprises, %; WEEinshare of employees of enterprises belonging to, %; WERDshare of expenses for research and development in the GDP, %; WSIPshare of sold innovative products in the industrial volume, %; WISshare of coverage of the population with internet services, subscribers per 100 citizens.

Peace, justice and strong institutions
RFTrisks of financial terrorism, quantity; HAT-Pfpfinancial provision of regional human antitrafficking programmes.
WPFTshare of high-level risks in the system of countering financial terrorism, %; WHATPfpfinancial provision of regional human anti-trafficking programmes.

Partnership for sustainable development
PMTprivate money transfers from abroad, million UAH; CIcapital investment (in actual prices), billion UAH; VDIvolume of direct investment (share capital), million US dollars USA.
RPMTGDPratio of private money transfers from abroad to GDP, %; NIFDInet inflow of foreign direct investment, million US dollars. USA.

Agricultural development
PAPproduction of agricultural products, ton; PFPproduction of food products, ton.
WAPshare of agricultural products, %; WFPshare of food production, %; WFAEshare of food production and processing of agricultural raw materials in export, %. WNcPSIshare of children aged 5 covered by preschool institutions, %; WFNFshare of population participation in formal and non-formal types of education, %; W NI12share of the population that used the Internet in the last 12 months, %; WNMtsshare of men among teaching staff, %; WNGSEIishare of general secondary education institutions in rural areas with Internet access, %; WNGSEIcshare of general secondary education institutions in rural areas where computers are used, %.

Gender equality
Nlrnumber of laws and regulations revised or adopted for gender equality, units; Ncdvnumber of complaints about domestic violence, thousand; NwVRnumber of women among deputies of the Verkhovna Rada of Ukraine, persons; NwdRCnumber of women among deputies of regional councils and city councils of cities of regional significance, persons; Nb20number of births under the age of 20; Swaverage salary of women, thousand UAH; Smaverage salary of men, thousand UAH; NEW25-44number of employed women aged 25-44 with children aged 3-5, %.
Wlrshare of laws and regulations revised or adopted for gender equality, %; Wcdvshare of complaints about domestic violence, %; WwVRshare of women among deputies of the Verkhovna Rada of Ukraine, %; WwdRCshare of women among deputies of regional councils and city councils of cities of regional significance, %; Cb20coefficient of births under the age of 20, per 1000 women aged 15-19; CraSwmratio of the average salary of women and men, %; WEW25-44share of employed women aged 25-44 with children aged 3-5, %.

Reducing inequality
NAHHemsnumber of agricultural housholds which suffered due to poor provision of emergency medical services, units; NAHHminumber of agricultural housholds which suffered due to the absence of medical institutions nearby, units; NAHHtcnumber of agricultural housholds which suffered due to the lack of transport communication, units.
WNAHHemsshare of agricultural housholds which suffered due to poor provision of emergency medical services, %; WNAHHmishare of agricultural housholds which suffered due to the absence of medical institutions nearby, %; WNAHHtcshare of agricultural housholds which suffered due to the lack of transport communication, %; CamScorrelation of the average monthly salary (income) of the 10th and 1st decile groups of employees (decile coefficient), times; CaP,Scorrelation of the average pension and the average salary in the economy, %. Environmental component

Clean water and proper sanitation
NRPcwsnumber of rural population having access to the central water supply, persons; NUPcws number of urban population having access to central water supply, persons; VDvolume of discharges of contaminated wastewater into water bodies, million m 3 ; WCGDPuwwater capacity of GDP, used water, m 3 .
WRPcwsshare of rural population having access to the central water supply, %; WUPcwsshare of of urban population having access to central water supply, %; WVDdischarges of contaminated wastewater into water bodies in total, %; CWCGDPuwcoefficient of water capacity of GDP m 3 to used water per 1000 UAH of GDP; CWCGDPcurrent water capacity of GDP, % up to the level of 2015.

Affordable and clean energy
EPelectricity production, billion kWh; TCdrntechnological costs of electric energy in distribution electric networks, million UAH; Iperimport of primary energy resources from one country, million UAH; NSnfnumber of suppliers on the nuclear fuel market, units; AErsthe amount of energy produced from renewable sources, units.
WTCdrnshare of technological costs of electric energy in distribution electric networks, %; Ipervamaximum share of import of primary energy resources from one country, %; WNSnfshare of one supplier in the nuclear fuel market, %; WAErs energy produced from renewable sources, %; EIGDPenergy intensity of GDP, kg of oil equivalent per international $ at the current rate of exchange in 2011.

Sustainable development of cities and communities
CAHcoverage of territorial units of Ukraine (regions), programs for providing affordable housing for various categories of citizens, units; NRSnumber of regions that have approved regional strategies of development and general development plans, units; NCnumber of cities where the average annual concentration of contaminating substances exceeds the limit, units.
WCAHshare of coverage of territorial units of Ukraine (regions), programs for providing affordable housing for various categories of citizens, %; WNRSof regions that have approved regional strategies of development and general development plans, in total, %.  The distribution of indicators by criteria and assignment of numerical values is based on the analysis of statistical bulletins, by selecting them for each criterion, value and indicator. As a result, we get the initial base for further rating evaluation. Given that values have different units of measurement, it is necessary to bring them to a single format, i.e. translate them into relative values using formulas (1)(2)(3): for stimulating values that help improve efficiency, Formula 1 is used: z j = x j -x j(min) x j(max) -x j(min) (1) where xj -value of the j-th indicator; xj(min) -the minimum value of the j-th indicator to be evaluated; xj(max) -the maximum value of the j-th indicator to be evaluated. For indicatorswhere stimulants that negatively affect effectiveness Formula 2 is used: Further, based on the obtained relative estimates, the average indicator for each group for each region has been calculated. Average indicator ̅̅̅̅ for each group is calculated as follows: In particular, this approach is used to assess the investment attractiveness of territories; global human, innovative, sustainable development; regional human development in Ukraine, etc. Formation of assessment scales of the efficiency of socio-economic development of Ukraine after the war, interpretation of the data obtained. One of the most convenient ways of reflection (interpretation) of an integral exponent is a generalized Harrington desirability function (Harrington, 1965). The construction of this function is based on transformation of natural values of individual indicators of different physical nature and dimension into a single dimensionless desirability scale. The Harrington desirability scale is a universal psychophysical verbal-numerical scale. This scale is defined by the Harrington desirability function (desirability curve), which establishes a correspondence between the natural values of indicators on physical scales and psychophysical parameterssubjective linguistic estimates of the desirability of these values for a function, object, system, or person (Harrington, 1965). It is worth noting that there are two approaches to choosing a scale with a one-way and two-way restriction (table  3). The table shows the relationship between quantitative values of a dimensionless scale and a person's psychological perception. If the overall characteristic improves only by unidirectional changes in the indicator (decrease or increase), the restriction is one-way and can be described as follows: yand  ymax or y and  ymin (Harrington, 1965). If a change in the indicator is likely in both directions from the optimal value, then the restriction is two-way and is described as: ymin  yand. ymax (Harrington, 1965). With a one-way restriction, the desirability value of 0.37 corresponds to ymin or ymax (given a lower or upper bound, respectively), for a two-way restriction -both as ymin and ymax. For a one-way restriction in the case of positive changes in indicators, which are characterized by a monotonous and increasing dependence of desirability on their numerical values, the Harrington function has a sigmoidal form and is defined by the formula: d = exp (-exp( -y')) , (4) where y' -scale of encoded values of partial indicators y, d -desirability scale. From table 3 it can be seen that the desirability function of the site is satisfactorily close to linear, and its nonlinearity is manifested in the desire regions close to 0 and 1. That is, its sensitivity in these regions is significantly lower than in the middle zone, which is quite consistent with Weber Fechner's law. The interval from -2 to 5 on the scale of encoded values of partial indicators is the interval of effective values. In a two-way restriction, the desirability function is described by the formula: d = − exp (-| y'| n ) , (5) Where y' is the encoded value of the private parameter y, n -positive number (not necessarily an integer). Given the purpose of the study submitted for consideration, we consider the verbal-numerical Harrington scale with a two-way restriction to be more relevant and representative, since changes in indicators are likely in both directions from the optimal value. Thus, the formed theoretical and methodological basis allows us to move on to the development of practical tools for assessing the effectiveness of socio-economic development of Ukraine after the war with a focus on sustainable development.

Conclusion
Thus, based on the generalization of the theoretical and methodological basis, the scientific problem of the conceptual foundations of effective socio-economic development of Ukraine after the war on the principles of sustainable development has been solved. This made it possible to form a number of conclusions and proposals, the main ones of which are as follows: Generalization of the regulatory, theoretical and methodological framework allowed us to conclude that it is necessary to build a fundamentally new economic model of post-war development of the territories of Ukraine, based on the rejection of raw material exports. It is proved that sustainable development forms the conceptual basis in the post-war economy of Ukraine. Conceptualized conversion (transition) of territories, which is based on the functional types outlined in the law of Ukraine On amendments to certain legislative acts, regarding the principles of state regional policy and the policy of restoration of regions and territories and arises due to the complex actions of subjects, the territorial system, ensuring the transition from one state to another (from territories to be restored to territories of sustainable development). The practical value of the matrix method is substantiated, the essence of which is the possibility of determining the rating of territories, both by individual indicators and by a set of indicators, taking into account sustainable development. When dividing territories according to their functional purpose, two indicators are proposed: value added cost (X-axis), quality of life of the population (Y-axis), which will reflect the degree of compliance with the level of human life expectancy, the level of well-being and development of each member of society achieved by the national economy at a certain point in time, enriching the theoretical and methodological basis of sustainable development.
Based on the proposals of the Centre for economic policy research (CEPR), a list of national indicators of the sustainable development goals, a set of estimated indicators of economic and social results and the effectiveness of Ukraine's recovery after the war was formed for two types of territories. It is proved that when evaluating territories to be restored, only the result can be evaluated, while territories of sustainable development, which are a kind of standard, allow us to draw conclusions about efficiency. The procedure for assessing the effectiveness of socio-economic development of Ukraine after the war is structured, which is based on rating (index) assessments and provides for the following stages: distribution of indicators by criteria and assigning them numerical values, construction of indices by criteria and assigning them numerical values, translation of indicators into relative estimates, formation of an integral assessment, determination of rating, interpretation of results. The expediency of interpreting an integral indicator is substantiated based on the generalized Harrington desirability function, which allows converting natural values of indicators of different physical nature and dimension into a single dimensionless desirability scale. It is proposed to use a verbal and numerical scale of bilateral restriction to interpret the results of assessing the restoration of destroyed and development of territories of Ukraine damaged due to the war, which has the following form: very high result or efficiency -0.8 -1.0; high -0.63 -0.8; satisfactory -0.37 -0.63; low -0.2 -0.37; very low -0.0 -0.2. The author's proposals form the basis of the methodology for assessing the socio-economic results and effectiveness of restoring territories damaged due to the war.