Weak fuzzy equivalence relations and weak fuzzy congruences

Inheung Chon

Abstract


We define a weak fuzzy equivalence relation and a weak fuzzy congruence and develop some properties of the weak fuzzy equivalence relations and the weak fuzzy congruences on semigroups.

Keywords


weak fuzzy equivalence relation, weak fuzzy congruence

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References


I. Chon, Extended fuzzy equivalence relations, Kangweon-Kyungki Math. Jour. 15 (2007), 59–69.

I. Chon, Some properties of fuzzy equivalence relations and fuzzy congruences, J. Natural Science, SWINS 25 (2013), 75–81.

J. A. Goguen, L-fuzzy sets, J. Math. Anal. Appl. 18 (1967), 145–174.

K. C. Gupta and R. K. Gupta, Fuzzy equivalence relation redefined, Fuzzy Sets and Systems 79 (1996), 227–233.

V. Murali, Fuzzy equivalence relation, Fuzzy Sets and Systems 30 (1989), 155–163.

M. Samhan, Fuzzy congruences on semigroups, Inform. Sci. 74 (1993), 165–175.

L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338–353




DOI: http://dx.doi.org/10.11568/kjm.2017.25.4.563

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ISSN: 1976-8605 (Print), 2288-1433 (Online)

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