In this paper, we employed bipolar fuzzy set theory to hemi-rings and we popularized notation of bipolar valued fuzzy interior h-ideal, bipolar-valued fuzzy prime h-ideal, bipolar-valued fuzzy semiprime h-ideal, bipolar-valued fuzzy h-bi-ideal and bipolarvalued fuzzy h-quasi-ideal. We also introduced some basic properties and definition of bipolar-valued fuzzy h-ideals of hemi-ring. Then we int...

In this paper we describe three different variations of prime ideals: strongly irreducible ideals, ideals and insulated in the context Leavitt path algebras. We give necessary sufficient conditions under which a proper ideal algebra L is product as well an intersection finitely many these types ideals. Such factorizations, when they are irredundant, shown to be unique except for order factors. ...

Using the notion of a fuzzy point and its belongness to and quasicoincidence with a fuzzy subset, some new concepts of a fuzzy interior ideal in Abel Grassmann’s groupoids S are introduced and their interrelations and related properties are invesitigated. We also introduce the notion of a strongly belongness and strongly quasicoincidence of a fuzzy point with a fuzzy subset and characterize fuz...

A ternary semigroup is a nonempty set together with a ternary multiplication which is associative. Any semigroup can be reduced to a ternary semigroup but a ternary semigroup does not necessarily reduce to a semigroup. The notion of fuzzy sets was introduced by Zadeh in 1965 and that of rough sets by Pawlak in 1982. Applications of the fuzzy set theory and rough set theory have been found in va...

In this paper, the concepts of irreducible and strongly pseudo symmetric ideals in a partially ordered ternary semigroup are introduced. We also studied some interesting properties prove that space is topologized.

the aim of this paper is to introduce the notions of ($epsilon, epsilon vee q$)-fuzzy p-ideals, ($epsilon, epsilon vee q$)-fuzzy q-ideals and ($epsilon, epsilon vee q$)-fuzzy a-ideals in bcialgebras and to investigate some of their properties. several characterizationtheorems for these generalized fuzzy ideals are proved and the relationshipamong these generalized fuzzy ideals of bci-algebras i...