Structure of intuitionistic fuzzy sets in [GAMMA]-semihyperrings

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 [GAMMA]-hyperideals of a [GAMMA]-semihyperring are introduced. A few examples are presented. In particular, some characterizations of Arti...

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Bibliographic Details
Published in:Abstract and applied analysis 2013-01, Vol.2013
Main Authors: Ersoy, Bayram Ali, Davvaz, Bijan
Format: Article
Language:English
Subjects:
Algebra
Fuzzy
Fuzzy algorithms
Fuzzy logic
Fuzzy set theory
Fuzzy sets
Fuzzy systems
Hypotheses
Mathematical research
Mathematics
Rings (Algebra)
Set theory
Studies
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Summary: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 [GAMMA]-hyperideals of a [GAMMA]-semihyperring are introduced. A few examples are presented. In particular, some characterizations of Artinian and Noetherian [GAMMA]-semihyperring are given.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/560698