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Generalized fuzzy congruences on semigroups

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초록

We define a G-fuzzy congruence, which is a generalized fuzzy congruence,discuss some of its basic properties, and characterize the G-fuzzy congruence generated by a fuzzy relation on a semigroup. We also give certain lattice theoretic properties of G-fuzzy congruences on semigroups.

Abstract

We define a G-fuzzy congruence, which is a generalized fuzzy congruence,discuss some of its basic properties, and characterize the G-fuzzy congruence generated by a fuzzy relation on a semigroup. We also give certain lattice theoretic properties of G-fuzzy congruences on semigroups.

참고문헌 (7)

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  2. K. C. Gupta, "Fuzzy equivalence relation redefined", Fuzzy Sets and Systems, 79, pp.227~233 (1996)
  3. V. Murali, "Fuzzy equivalence relation", Fuzzy Sets and Systems, 30, pp.155~163 (1989)
  4. C. Nemitz, "Fuzzy relations and fuzzy function", Fuzzy Sets and Systems, 19, pp.177~191 (1986)
  5. M. Samhan, "Fuzzy congruences on semigroups", Inform. Sci., 74, pp.165~175 (1993)
  6. E. Sanchez, "Resolution of composite fuzzy relation equation", Inform. and Con-trol, 30, pp.38~48 (1976)
  7. L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

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