Characterizations of ternary semigroups by (↵ , )-fuzzy ideals
نویسندگان
چکیده
In this paper, we introduce the concept of (α, β)-fuzzy ideals in ternary semigroups, which is a generalization of fuzzy ideals in ternary semigroups. We investigate the related properties of ternary semigroups. The lower and upper parts of fuzzy subsets of a ternary semigroup are defined. Characterizations of regular ternary semigroups by the properties of the lower part of (∈,∈∨q)-fuzzy left (right) ideals, (∈,∈ ∨q)-fuzzy quasi ideals and (∈,∈ ∨q)-fuzzy bi-ideals are given.
منابع مشابه
Characterizations of ternary semigroups by kq , - fuzzy ideals
In this paper we have generalized the concepts of q , -fuzzy ideals, q , -fuzzy quasi-ideals and q , -fuzzy bi-ideals by introducing the concepts of k q , -fuzzy ideals, k q , -fuzzy quasiideals and k q , -fuzzy bi-ideals in ternary semigroups and several related properties are investigated. Different characterizations of regular and weakly ...
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