A fuzzy controller can be seen as an algorithm that, given a fuzzy set (input) and a set of linguistic rules, computes the degree of possibility of every control value. Using a valid and complete proof system for possibilistic logic, we prove that fuzzy controllers enjoy the following property: every possibility measure that satisfies the degrees of possibility of input and linguistic rules als...

This paper proposes a new method of feature extraction and recognition, namely, the fuzzy inverse Fisher discriminant analysis (FIFDA) based on the inverse Fisher discriminant criterion and fuzzy set theory. In the proposed method, a membership degree matrix is calculated using FKNN, then the membership degree is incorporated into the definition of the between-class scatter matrix and withinExp...

The purpose of this paper is to study fully fuzzy multi-choice multiobjective linear programming problem (FFMMOLPP), in which, right hand side of each constraint has two choices. With the help of ranking function, deviation distance and deviation degree between two fuzzy numbers are defined. A new method is proposed to find the  fuzzy pareto optimal solution of FFMMOLPP which is defuzzified by...

In this paper d2 degree of a vertex and total d2 -degree of a vertex in an intuitionistic fuzzy graphs are defined. Also (2, (c1, c2))-regularity and totally (2, (c1, c2))-regularity of an intuitionistic fuzzy graphs are defined. A relation between (2, (c1, c2))-regularity and totally (2, (c1, c2))-regularity on intuitionistic fuzzy graph is studied. (2, (c1, c2))regularity on a path on four ve...

It is important to program properly during process of oilfield development. Based on the fuzzy understanding about the reservoir and the uncertainty in the actual environment, a kind of fuzzy multi-objective optimization model of production distribution was proposed in this paper, which considers the objectives of production maximization, cost minimization and profit maximization. By using the ...

Multi-criteria group decision-making is a process in which decision makers assess the performance of alternatives on the basis of conflicting criteria to opt the most worthy alternative as solution. TOPSIS and ELECTRE are effective and commonly used methods to solve multiple criteria decision-making problems. The aim of this study is to propose two new models, namely, complex Pythagorean fuzzy ...

In this article, we propose a fuzzy class relation assigning to each pair of finite fuzzy sets a degree to which they are equipollent, which indicates that they have the same number of elements. The concepts of fuzzy sets and fuzzy classes in the class of all countable sets are introduced, and several standard relations and constructions, such as the fuzzy power set and exponentiation, are defi...

Fuzzy set refers to the data set which does not have separate, distinct clusters, and they contain data elements whose membership degrees are between 0.0 and 1.0. Many fuzzy sets exist in the real world, and one of the important issues is to make a decision from the fuzzy sets using visual analytics tools by extracting information in the data set intuitively. To analyze the element data in fuzz...

In order to safeguard the safety of passengers and reduce maintenance costs, it is necessary to analyze and evaluate the security risk of the Railway Signal System. However, the conventional Fuzzy Analytical Hierarchy Process (FAHP) can not describe the fuzziness and randomness of the judgment, accurately, and once the fuzzy sets are described using subjection degree function, the concept of fu...

| In many practical applications of fuzzy methodology, it is desirable to go beyond the interval 0; 1] and to consider more general fuzzy values: e.g., intervals, or real numbers outside the interval 0; 1]. When we increase the set of possible fuzzy values, we thus increase the number of bits necessary to store each degree, and therefore, increase the computation time which is needed to process...