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Redefined fuzzy congruences on semigroups

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We redefine a fuzzy congruence, discuss some properties of the fuzzy congruences, find the fuzzy congruence generated by a fuzzy relation on a semigroup, and give some lattice theoretic properties of the fuzzy congruences on semigroups.

Abstract

We redefine a fuzzy congruence, discuss some properties of the fuzzy congruences, find the fuzzy congruence generated by a fuzzy relation on a semigroup, and give some lattice theoretic properties of the fuzzy congruences on semigroups.

참고문헌 (8)

  1. 전인흥, "Generalized fuzzy congruences on semigroups", 한국수학논문집, 18(4), pp.343~356 (2010), 강원경기수학회
  2. J. A. Goguen, "L-fuzzy sets", J. Math. Anal. Appl, 18, pp.145~174 (1967)
  3. K. C. Gupta, "Fuzzy equivalence relation redefined", Fuzzy Sets and Systems, 79, pp.227~233 (1996)
  4. V. Murali, "Fuzzy equivalence relation", Fuzzy Sets and Systems, 30, pp.155~163 (1989)
  5. C. Nemitz, "Fuzzy relations and fuzzy function", Fuzzy Sets and Systems, 19, pp.177~191 (1986)
  6. M. Samhan, "Fuzzy congruences on semigroups", Inform. Sci, 74, pp.165~175 (1993)
  7. E. Sanchez, "Resolution of composite fuzzy relation equation", Inform. and Control, 30, pp.38~48 (1976)
  8. L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

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