Characterizations of ternary semigroups by ,qk -fuzzy ideals

Document Type: Regular Paper


Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan


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 regular ternary semigroups by the properties of these ideals are given.