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Properties of fuzzy relations powers

Józef Drewniak; Barbara Pȩkala — 2007

Kybernetika

Properties of $sup$ - $*$ compositions of fuzzy relations were first examined in Goguen [8] and next discussed by many authors. Power sequence of fuzzy relations was mainly considered in the case of matrices of fuzzy relation on a finite set. We consider $sup$ - $*$ powers of fuzzy relations under diverse assumptions about $*$ operation. At first, we remind fundamental properties of $sup$ - $*$ composition. Then, we introduce some manipulations on relation powers. Next, the closure and interior of fuzzy relations are examined....

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