Characterizations of ternary semigroups by (∈,∈∨q_κ,) -fuzzy ideals

摘要

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(∈,∈∨q_κ) -fuzzy ideals, (∈,∈∨q_κ ) -fuzzy quasi-ideals and (∈,∈∨q_κ)-fuzzy bi-ideals in ternary semigroups and several related properties are investigated. Different characterizations of regular and weakly regular ternary semigroups by the properties of these ideals are given.