The subject of research: processes of economic and mathematical simulation of bank competitiveness; The purpose of work: further development of economic and mathematical simulation of bank competitiveness, development of descriptive models under certainty and uncertainty; Research methods and instrumentation: abstract-logical method, analysis and synthesis methods, factor analysis, canonical analysis, instruments of descriptive statistics, distinct and indistinct regression analyses, fuzzy-set theory; Theoretical and practical results: indistinct regression model of bank competitiveness takes into account peculiarity of the data, which are used in the bank activity analysis, in particular, indefiniteness, it provides for reasoning of the indistinct interval for the value of indistinct resultative feature; a summarizing index of bank competitiveness, created based on fuzzy-sets, where while creating indistinct knowledge database and working out membership functions, levels of index values from regulatory-dispositive documents, which are valid in the domestic banking system, are taken into account, as well as laws of distribution of these index values; methodological provisions of a descriptive economic and mathematical simulation of bank competitiveness, which are based on the meaningful essence of bank competitiveness; methodological support of building feature space of the bank competitiveness models, which is noted for a an instrument storage and recommendations for their application in case of description with features, the values of which are measured jointly on metric and ordinal scales for detection of significant elementary and compound features, latent features; a methodological approach to the analysis of bank competitiveness based on its descriptive economic and mathematical simulation, which is noted for logic and content of the phases: building of a conceptual-structural scheme of the content of bank competitiveness, selection of significant indices, defining of the factor influence on the effective indices of the bank activity on the basis of the model of indistinct regression analysis, calculation of the summarizing index of bank competitiveness on the basis of indistinct logic methods, making a justified managerial decision as for further bank activity; The degree of implementation: the developments have been implemented into practical activity of PJSC CB KHRESHCHATYK, PJSC AB STOLYCHNYI, of State Higher Educational Institution the Ukrainian Academy of Banking of the National Bank of Ukraine while teaching subjects “Mathematics for Economists: Higher Mathematics”, “Mathematics for Economists: Probability Theory and Mathematical Statistics”, “Information Science”; The field of application: activity of financial institutions, educational process.
