Results 221 to 230 of about 4,071 (252)

Fuzzy relation equations and fuzzy inference systems: an inside approach

IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), 1999
This paper investigates and extends the use of fuzzy relation equations for the representation and study of fuzzy inference systems. Using the generalized sup-t (t is a triangular norm) composition of fuzzy relations and the study of sup-t fuzzy relation equations, interesting results are provided concerning the completeness and the theoretical ...
Giorgos B. Stamou, Spyros G. Tzafestas
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Functional relations and fuzzy relational equations

2002 Annual Meeting of the North American Fuzzy Information Processing Society Proceedings. NAFIPS-FLINT 2002 (Cat. No. 02TH8622), 2003
Investigates a class of fuzzy relational equations, involving functional relations. It is shown how they can be solved, with ideas originating from the concept of truth-qualification of a fuzzy proposition. These equations are also discussed and related to the problem of the decomposition of a fuzzy relation by a fuzzy set.
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ORDERING FUZZY SETS BY CONSENSUS CONCEPT AND FUZZY RELATION EQUATIONS

International Journal of General Systems, 1984
A general class of consensus measures of fuzzy sets is introduced in this paper. It is shown that, while the consensus measures are valuations but neither isotone nor antitone with respect to the lattice structure induced by the pointwise maximum and minimum operations to the set of all the fuzzy sets on a nonempty crisp set, they are antitone ...
A. Di Nola, M. Higashi, W. Pedrycz, SESSA, SALVATORE   +3 more
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Fuzzy relational equations with min-biimplication composition

Fuzzy Optimization and Decision Making, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pingke Li, Qingwei Jin
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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 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 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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