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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 560698, 9 pages
http://dx.doi.org/10.1155/2013/560698
Research Article

Structure of Intuitionistic Fuzzy Sets in -Semihyperrings

1Department of Mathematics, Yildiz Technical University, 34210 Istanbul, Turkey
2Department of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, Iran

Received 21 October 2012; Accepted 27 December 2012

Academic Editor: Feyzi Başar

Copyright © 2013 Bayram Ali Ersoy and Bijan Davvaz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.