Journal Article

·2013 OPEN ACCESS

Some Properties of Intuitionistic Fuzzy Soft Rings

Bayram Alì Ersoy YTU , Serkan Onar YTU , Kostaq Hila , Bijan Davvaz

Journal of Mathematics

Abstract

Maji et al. introduced the concept of intuitionistic fuzzy soft sets, which is an extension of soft sets and intuitionistic fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy soft sets to rings. The concept of intuitionistic fuzzy soft rings is introduced and some basic properties of intuitionistic fuzzy soft rings are given. Intersection, union, AND, and OR operations of intuitionistic fuzzy soft rings are defined. Then, the deffinitions of intuitionistic fuzzy soft ideals are proposed and some related results are considered.

Keywords

Intersection (aeronautics) Soft set Mathematics Extension (predicate logic) Fuzzy logic Algebra over a field Pure mathematics Discrete mathematics Computer science Artificial intelligence Engineering

Subject Areas

Fuzzy and Soft Set Theory ·Management Science and Operations Research ·Social Sciences

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