応用および計算数学ジャーナル

Intuitionistic Fuzzy Ideals Supra Topological Spaces

Abstract

Fadhil Abbas

In this paper we introduce the notion of intuitionistic fuzzy ideals in intuitionistic fuzzy supra topological spaces. The concept of an intuitionistic fuzzy s-local function is

also introduced here by utilizing the s-neighbourhood structure for an intuitionistic fuzzy supra topological space. These concepts are discussed with a view to find new

intuitionistic fuzzy supra topologies from the original one. The basic structure, especially a basis for such generated intuitionistic fuzzy supra topologies and several

relations between different intuitionistic fuzzy ideals and intuitionistic fuzzy supra topologies are also studied here. Moreover, we introduce an intuitionistic fuzzy set

operator

Ψ

S

and study its properties. Finally, we introduce some sets of fuzzy ideal supra topological spaces (fuzzy

∗

-supra dense-in-itself sets, fuzzy S

∗

-supra closed

sets, fuzzy

∗

-supra perfect sets, fuzzy regular-I-supra closed sets, fuzzyI-supra open sets, fuzzy semi-I-supra open sets, fuzzy pre-I-supra open sets, fuzzy

α

-I-supra

open sets, fuzzy

β

-I-supra open sets) and study some characteristics of theses sets and then we introduce some fuzzy ideal supra continuous functions