Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389302 | Fuzzy Sets and Systems | 2014 | 14 Pages |
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
Authors
M. Bradić, R. Madarász,