This article considers the problems of maximum flow and minimum cost flow determining in fuzzy network. Parameters of fuzzy network are fuzzy arc capacities and transmission costs of one flow unit represented as fuzzy triangular numbers. Conventional rules of operating with fuzzy triangular numbers lead to a strong “blurring” of their borders, resulting in loss of selfdescriptiveness of calcula...

This article considers the problems of maximum flow and minimum cost flow determining in fuzzy network. Parameters of fuzzy network are fuzzy arc capacities and transmission costs of one flow unit represented as fuzzy triangular numbers. Conventional rules of operating with fuzzy triangular numbers lead to a strong “blurring” of their borders, resulting in loss of selfdescriptiveness of calcula...

In general fuzzy sets are used to analyze the fuzzy system reliability. Here intuitionistic fuzzy set theory for analyzing the fuzzy system reliability has been used. To analyze the fuzzy system reliability, the reliability of each component of the system as a triangular intuitionistic fuzzy number is considered. Triangular intuitionistic fuzzy number and their arithmetic operations are introdu...

The purpose of the paper is to study how to solve a type of matrix games with payoffs of triangular fuzzy numbers. In this paper, the value of a matrix game with payoffs of triangular fuzzy numbers has been considered as a variable of the triangular fuzzy number. First, based on two auxiliary linear programming models of a classical matrix game and the operations of triangular fuzzy numbers, fu...

Summary Since isosceles triangular and trapezoidal membership functions [4] are easy to manage, they were applied various fuzzy approximate reasoning [10], [13], [14]. The centroids of mentioned in this article [16], [9] formalized [11] [12]. Some propositions the composition mapping ( f + · g , or +* using Mizar formalism, where a ne mappings), proved following [3], [15]. Then different notati...

The paper deals with a solution of a fuzzy interval system of linear equations, i.e. a system in which fuzzy intervals (numbers) appear instead of crisp numbers. We obtain general results and then use them for finding the united solution set in the case when all fuzzy interval occurring in the system have the trapezoidal shape.

The problem of the nearest approximation of fuzzy numbers by piecewise linear 1-knot fuzzy numbers is discussed. By using 1-knot fuzzy numbers one may obtain approximations which are simple enough and flexible to reconstruct the input fuzzy concepts under study. They might be also perceived as a generalization of the trapezoidal approximations. Moreover, these approximations possess some desira...

The article is devoted to the problem of multi-criteria decision making. As application used equipment selection problem. analysis existing methods for solving this given. a method fuzzy TOPSIS (The Technique Order Preference by Similarity Ideal Solution) proposed. This based on ideal solution approach. issues practical implementation are discussed in details. results test at all stages present...