RESEARCH OF THE FUZZY MODEL OF THE CHOICE OF THE BUSINESS SYSTEM
A formal statement of the generalized problem of choosing a business system in fuzzy conditions is proposed. A model of choice in the form of a fuzzy relational equation is developed. The model was structurally identified in the class of fuzzy correspondence compositions on basic sets consisting of a list of possible business systems, a list of proposed objects for construction, and aggregated criteria for assessing the reliability of business systems. An explicit expression is obtained for the membership function of the desired solution in a general form, which is a fuzzy correspondence on the Cartesian product of the sets of objects and proposed business systems. Formulas are proposed for obtaining particular solutions to the problem using the most famous triangular norms in the form of a logical, algebraic, and boundary product, and implicators induced by these norms. Since the inverse problem of choosing a business system model is difficult and not always solvable, a methodology for solving the inverse problem is proposed, by reducing it to the optimization problem, which allows us to find the desired fuzzy correspondence, which to the highest degree meets the condition for minimizing the optimization criterion - the norm of deviation of the calculated values from observables. Practical testing of the developed methodology for solving the problem in the form of a control solution of the direct and inverse problems for the entire spectrum of the studied norms and implicators in the environment of a computer mathematics package has been performed.