2009
DOI: 10.1007/s00500-009-0481-6
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Properties of $$\text{max-}*$$ fuzzy relation equations

Abstract: We extend the result of Zhang et al. (J Fuzzy Math 14:53, 2006), who discussed the finite fuzzy relation equations with max-min and max-prod composition. In this article, the max-Ã composition is used for wide family of operations Ã. In particular, families of solutions of two relation equations are compared.

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Cited by 16 publications
(1 citation statement)
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“…De Baets [4] determined all minimal solutions and Wang [24] gave a formula of the number of minimal solutions under the condition that all elements of its righthand side have irredundant finite join-irreducible decompositions. And many other works about solving fuzzy relation equations were published (see [1,5,8,10,12,13,14,15,16,17,19,20,22,23]). Compared with the linear algebraic systems, the main difference with fuzzy relation equations is the operations and the fundamental domain.…”
Section: Introductionmentioning
confidence: 99%
“…De Baets [4] determined all minimal solutions and Wang [24] gave a formula of the number of minimal solutions under the condition that all elements of its righthand side have irredundant finite join-irreducible decompositions. And many other works about solving fuzzy relation equations were published (see [1,5,8,10,12,13,14,15,16,17,19,20,22,23]). Compared with the linear algebraic systems, the main difference with fuzzy relation equations is the operations and the fundamental domain.…”
Section: Introductionmentioning
confidence: 99%