The solution set of a fuzzy relational equation with sup-conjunctor composition in a complete lattice

Authors:
Xue-ping Wang;Qing-quan Xiong
Affiliations:
Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, People's Republic of China;Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, People's Republic of China
Venue:
Fuzzy Sets and Systems
Year:
2005

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Abstract

This paper deals with a fuzzy relational equation with sup-conjunctor composition in a complete lattice. We investigate its properties and describe its solution set. In particular, we give a sufficient and necessary condition that the solution set is nonempty, and a sufficient condition that there exist minimal elements in the solution set.