Journal Article

·2013 OPEN ACCESS

Structure of Intuitionistic Fuzzy Sets inΓ-Semihyperrings

Bayram Alì Ersoy YTU , Bijan Davvaz

Abstract and Applied Analysis

Abstract

As we know, intuitionistic fuzzy sets are extensions of the standard fuzzy sets. Now, in this paper, the basic definitions and properties of intuitionistic fuzzy Γ-hyperideals of a Γ-semihyperring are introduced. A few examples are presented. In particular, some characterizations of Artinian and Noetherian Γ-semihyperring are given.

Keywords

Mathematics Fuzzy logic Pure mathematics Algebra over a field Discrete mathematics Artificial intelligence Computer science

Subject Areas

Fuzzy and Soft Set Theory ·Management Science and Operations Research ·Social Sciences
Fuzzy Logic and Control Systems ·Artificial Intelligence ·Physical Sciences
Fixed Point Theorems Analysis ·Geometry and Topology ·Physical Sciences

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