Results 231 to 240 of about 6,121 (261)

Limit equation of fuzzy relation and its application

2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583), 2005
Mamdani proposed the first fuzzy controller, which was described by fuzzy linguistic rules and fuzzy relations. The stability of this type fuzzy controller is closely related to fuzzy relations. In this paper, a limit equation is first deduced from the stability conditions of generalized fuzzy control systems.
Chengjia Li, Victor M. Becerra
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Fuzzy relation equations and inequalities

Fuzzy Sets and Systems, 1984
Let L be a complete lattice. The author introduces a generalization of the concept of Brouwerian lattice in the form of a lattice with an implication induced by a monotone binary operation assigned in L. The induced implications in the complete lattice L(X\(\times Y)\) of the fuzzy relations, with membership functions defined on two sets X and Y and ...
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Fuzzy Relational Equations/Inequalities

2019
Fuzzy relational equations (FRE) were firstly proposed by Sanchez [1]. Fuzzy relational equations/inequalities (FRE/FRI) have played an important role in fuzzy set theory and fuzzy logic systems, and many researchers have discussed them based on different fuzzy relational compositions [2, 3, 4, 5, 6, 7, 8, 9].
Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang   +5 more
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Resolution of Fuzzy Relation Equations When the Fuzzy Relation is Defined on Fuzzy Subsets

2018
In this paper some results of the theory of fuzzy relation equations are generalized, when fuzzy relations defined on fuzzy sets instead of crisp sets are considered. We find the biggest (or the smallest) solution of a fuzzy relation equation with different types of compositions.
Manuel José Fernández, Fermín Suárez
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Fuzzy Matrices and Relational Equations

1995
Let F = [0,1] be the fuzzy algebra with operations (+,·) and the standard order ≤ : a+b=max{a+b} and a·b = min {a· b}. The subalgebra B = {0,1} of F is called the Boolean algebra, and the set F n of all n ×n matrices over F (fuzzy matrices) and the set B n of all n × n matrices over B (Boolean matrices) form partially ordered multiplicative matrix ...
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A new solution methodology for fuzzy relation equations

1998
In this paper a general methodology for studying and solving fuzzy relation equations based on sup-t composition, where t is any continuous triangular norm, is proposed. To this end the concept of the “solution matrices” is introduced, as a way of representing the process information required for the resolution.
Spyros G. Tzafestas, Giorgos B. Stamou
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Fuzzy function as an approximate solution to a system of fuzzy relation equations

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Relation Equations with Words

2004
In this paper, we focus on two questions. The first one is, how a systematic theory of the specific linguistic expressions widely used in the applications of fuzzy logic can be developed. These expressions form a class of the so called evaluating linguistic expressions.
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Some properties of minimal solutions for a fuzzy relation equation

Fuzzy Sets and Systems, 1997
Hideyuki Imai, Masaaki Miyakoshi
exaly  

Monomial geometric programming with fuzzy relation equation constraints

Fuzzy Optimization and Decision Making, 2007
Jihui Yang
exaly