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Resolution of Fuzzy Relation Equations When the Fuzzy Relation is Defined on Fuzzy Subsets
2018In 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
1995Let 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
1998In 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, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Relation Equations with Words
2004In 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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Processing in relational structures: Fuzzy relational equations
Fuzzy Sets and Systems, 1991Witold Pedrycz
exaly
Solving Fuzzy Relational Equations Via Semitensor Product
IEEE Transactions on Fuzzy Systems, 2012Daizhan Cheng, Jun-E Feng, Hongli Lv
exaly
Approximate solutions of fuzzy relational equations
Fuzzy Sets and Systems, 1988Witold Pedrycz
exaly
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making, 2009Shu-Cherng Fang +2 more
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Fuzzy relational equations in general framework
International Journal of General Systems, 2014Eduard Bartl
exaly

