Article ID Journal Published Year Pages File Type
389302 Fuzzy Sets and Systems 2014 14 Pages PDF
Abstract

In this paper we give some necessary and sufficient conditions for a fuzzy relation to be a compatible fuzzy equality of some L-group in the sense of Bělohlávek. These characterizations enable practical applications for construction of L-groups with a given skeleton. The construction has two steps: determination of the general form of fuzzy pre-equalities on a group and then solving a system of inequalities in the given residuated lattice. Some concrete examples of construction of finite L-groups with the given skeleton are presented.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
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