Application of Modern Information Technologies for Solving the Problem of Finding a Rational Compromise in the Interaction of Partners Under the Conditions of Absence Analytical Dependences of Their Objective Functions

EasyChair Preprint 6387

Abstract

For a large class of systems analysis tasks, an important issue is the disclosure of uncertainties. This is due to the variety of goals, properties and characteristics of the studied objects. Today, the task of revealing the conflicts uncertainty in the tasks of choosing the goals of plans and plans in the process of partners interaction or competitors opposition or opponents remains relevant. There are methods in systems analysis that allow you to solve these problems in some cases. They are based on the application of mathematical analysis methods and probability theory. However, these methods are applicable only to problems in which the number of partners and arguments in the analytically given objective functions that determine the purpose of their activities coincide. Since in practice, as a rule, such a restriction is not met, it is important to find approaches to solving problems of disclosing the uncertainty of conflicts in the choice of goals and plans in the process of partners interaction or countering competitors or opponents, arbitrary number of partners and arguments of their target functions, but in the absence of analytical dependencies of these functions. The paper formalizes and describes the problem features of finding a rational compromise in the interaction of any number of partners and any number of arguments that determine their target functions, but in the absence of analytical dependencies of these functions, and defines the approach to its solution using modern information technology. The proposed approach is applicable in the case of the component elements independence of the decision of the interacting entities. It provides for the capabilities integration of the previously developed author's method for the disclosure of uncertainty in the problems of interaction and the software product for the reproduction of functional dependencies in the class of additive functions.

Keyphrases: algorithm, information technologies, mathematical model, objective function, software, uncertainty

@booklet{EasyChair:6387,
  author    = {Oleh Borovyk and Serhii Lienkov and Oleksandr Sieliykov and Dmytro Borovyk and Iryna Basaraba},
  title     = {Application of Modern Information Technologies for Solving the Problem of Finding a Rational Compromise in the Interaction of Partners Under the Conditions of Absence Analytical Dependences of Their Objective Functions},
  howpublished = {EasyChair Preprint 6387},
  year      = {EasyChair, 2021}}