New types of intuitionistic fuzzy interior ideals of ordered semigroups
نویسنده
چکیده
In many applied disciplines like computer science, coding theory and formal languages, the use of fuzzified algebraic structures play a remarkable role. In this paper, we introduced some new types of generalization of an intuitionistic fuzzy interior ideal, called (α, β)-intuitionistic interior ideals of an ordered semigroup S. The important milestone of this paper is to link the ordinary interior ideals and (∈, ∈ ∨qk)-intuitionistic fuzzy interior ideals. The notion of (∈, ∈∨ qk)-intuitionistic fuzzy interior ideal is introduced and characterizations of ordered semigroups in terms of (∈, ∈ ∨qk)-intuitionistic fuzzy interior ideals and (∈, ∈ ∨ qk)-intuitionistic fuzzy interior ideals are given. 2010 AMS Classification: 06F05, 20M12, 08A72
منابع مشابه
Ordered semigroups characterized by their intuitionistic fuzzy bi-ideals
Fuzzy bi-ideals play an important role in the study of ordered semigroupstructures. The purpose of this paper is to initiate and study theintiuitionistic fuzzy bi-ideals in ordered semigroups and investigate thebasic theorem of intuitionistic fuzzy bi-ideals. To provide thecharacterizations of regular ordered semigroups in terms of intuitionisticfuzzy bi-ideals and to discuss the relationships ...
متن کاملMore General Forms of $(alpha, beta )$-fuzzy Ideals of Ordered Semigroups
This paper consider the general forms of $(alpha,beta)$-fuzzyleft ideals (right ideals, bi-ideals, interior ideals) of an orderedsemigroup, where$alpha,betain{in_{gamma},q_{delta},in_{gamma}wedgeq_{delta}, in_{gamma}vee q_{delta}}$ and $alphaneqin_{gamma}wedge q_{delta}$. Special attention is paid to$(in_{gamma},ivq)$-left ideals (right ideals, bi-ideals, interiorideals) and some related pr...
متن کاملIntuitionistic Fuzzy Quasi-Ideals of Ordered Semigroups
In this paper we define intuitionistic fuzzy quasi-ideals of ordered semigroups. The main result of the paper is a characterization of quasi-ideals in terms of intuitionistic fuzzy quasi-ideals. We also characterize left simple, right simple, and completely regular ordered semigroups in terms of intuitionistic fuzzy quasi-ideals. We study the decomposition of left and right simple ordered semig...
متن کاملIntuitionistic Fuzzy Bi-ideals of Ordered Semigroups
The intuitionistic fuzzification of the notion of a bi-ideal in ordered semigroups is considered. In terms of intuitionistic fuzzy set, conditions for an ordered semigroup to be completely regular is provided. Characterizations of intuitionistic fuzzy bi-ideals in ordered semigroups are given. Using a collection of bi-ideals with additional conditions, an intuitionistic fuzzy bi-ideal is constr...
متن کاملGENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS
For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and in intra-regular ordered semigroups the concept of (M,N)-uni-soft ideals and the (M,N)-uni-soft interior ideals coincide. Finally, we introduc...
متن کامل