Repository Article

·2017

INTUITIONISTIC FUZZY WEAKLY PRIME IDEALS

Tuğba Arkan YTU , Serkan Onar YTU , Deniz Sonmez YTU , Bayram Alì Ersoy YTU

DOAJ (DOAJ: Directory of Open Access Journals)

Abstract

In this study, the fundamental definitions and theorems regarding intuitionistic fuzzy sets and intuitionistic fuzzy ideals of commutative ring R with identity have been given as preliminaries. After the preliminaries, we introduce the notions of intuitionistic fuzzy weakly prime ideals, intuitionistic fuzzy partial weakly prime ideals, intuitionistic fuzzy weakly semiprime ideals of R. Also, we give some relations between intuitionistic fuzzy weakly prime ideals and weakly prime ideals of R.

Keywords

Mathematics Prime (order theory) Semiprime ring Boolean prime ideal theorem Commutative property Pure mathematics Discrete mathematics Fuzzy logic Algebra over a field Combinatorics Computer science Artificial intelligence

Subject Areas

Fuzzy and Soft Set Theory ·Management Science and Operations Research ·Social Sciences
Fuzzy Logic and Control Systems ·Artificial Intelligence ·Physical Sciences

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