Korean J. Math. Vol. 25 No. 4 (2017) pp.563-577
DOI: https://doi.org/10.11568/kjm.2017.25.4.563

Weak fuzzy equivalence relations and weak fuzzy congruences

Main Article Content

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.


Article Details

Supporting Agencies

Seoul Women's University

References

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

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

[3] J. A. Goguen, L-fuzzy sets, J. Math. Anal. Appl. 18 (1967), 145–174. Google Scholar

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

[5] V. Murali, Fuzzy equivalence relation, Fuzzy Sets and Systems 30 (1989), 155–163. Google Scholar

[6] M. Samhan, Fuzzy congruences on semigroups, Inform. Sci. 74 (1993), 165–175. Google Scholar

[7] L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338–353 Google Scholar