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Some Properties of Intuitionistic Fuzzy Soft Rings
Author(s) -
Bayram Ali̇ Ersoy,
Serkan Onar,
Kostaq Hila,
Bijan Davvaz
Publication year - 2013
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2013/650480
Subject(s) - intersection (aeronautics) , soft set , mathematics , extension (predicate logic) , fuzzy logic , algebra over a field , pure mathematics , discrete mathematics , computer science , artificial intelligence , engineering , aerospace engineering , programming language
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.

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