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Weak fuzzy equivalence relations and weak fuzzy congruences

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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.

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.

참고문헌 (7)

  1. I. Chon, "Extended fuzzy equivalence relations", Kangweon-Kyungki Math. Jour, 15, pp.59~69 (2007)
  2. I. Chon, "Some properties of fuzzy equivalence relations and fuzzy congruences", J. Natural Science, SWINS, 25, pp.75~81 (2013)
  3. J. A. Goguen, "L-fuzzy sets", J. Math. Anal. Appl, 18, pp.145~174 (1967)
  4. K. C. Gupta, "Fuzzy equivalence relation redefined", Fuzzy Sets and Systems, 79, pp.227~233 (1996)
  5. V. Murali, "Fuzzy equivalence relation", Fuzzy Sets and Systems, 30, pp.155~163 (1989)
  6. M. Samhan, "Fuzzy congruences on semigroups", Inform. Sci, 74, pp.165~175 (1993)
  7. L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

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