A GENERALIZATION OF FUZZY SUBSEMIGROUPS IN SEMIGROUPS
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초록
As a generalization of fuzzy subsemigroups, the notion of ε-generalized fuzzy subsemigroups is introduced, and several properties are investigated. A con-dition for an ε-generalized fuzzy subsemigroup to be a fuzzy subsemigroup is con-sidered. Characterizations of ε-generalized fuzzy subsemigroups are established,and we show that the intersection of two ε-generalized fuzzy subsemigroups is also an ε-generalized fuzzy subsemigroup. A condition for an ε-generalized fuzzy sub-semigroup to be ε-fuzzy idempotent is discussed. Using a given ε-generalized fuzzy subsemigroup, a new ε-generalized fuzzy subsemigroup is constructed. Finally, the fuzzy extension of an ε-generalized fuzzy subsemigroup is considered.
Abstract
As a generalization of fuzzy subsemigroups, the notion of ε-generalized fuzzy subsemigroups is introduced, and several properties are investigated. A con-dition for an ε-generalized fuzzy subsemigroup to be a fuzzy subsemigroup is con-sidered. Characterizations of ε-generalized fuzzy subsemigroups are established,and we show that the intersection of two ε-generalized fuzzy subsemigroups is also an ε-generalized fuzzy subsemigroup. A condition for an ε-generalized fuzzy sub-semigroup to be ε-fuzzy idempotent is discussed. Using a given ε-generalized fuzzy subsemigroup, a new ε-generalized fuzzy subsemigroup is constructed. Finally, the fuzzy extension of an ε-generalized fuzzy subsemigroup is considered.
참고문헌 (16)
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