Some results on operator semigroups of a Γ-semigroup in terms of fuzzy subsets
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In this paper, we examine the fuzzy subsets of left and right operator semigroups via the modified definition of Γ-semigroup and prove some related results. In particular, we obtain a one-to-one correspondence between the set of fuzzy subsets of S×Γ (S×Γ) and the set of fuzzy subsets of left (right) operator semigroup L (R). Also, we define equivalence relations LF and RF of Γ-semigroups in terms of fuzzy subsets and prove some relationships between each of the equivalence relations and its left (right) operator semigroup by means of fuzzy subsets.
Abstract
In this paper, we examine the fuzzy subsets of left and right operator semigroups via the modified definition of Γ-semigroup and prove some related results. In particular, we obtain a one-to-one correspondence between the set of fuzzy subsets of S×Γ (S×Γ) and the set of fuzzy subsets of left (right) operator semigroup L (R). Also, we define equivalence relations LF and RF of Γ-semigroups in terms of fuzzy subsets and prove some relationships between each of the equivalence relations and its left (right) operator semigroup by means of fuzzy subsets.
참고문헌 (22)
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