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Information Sciences
Volume 170, Issues 2-4, 25 February 2005, Pages 251-262
 
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doi:10.1016/j.ins.2004.02.025    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2004 Elsevier Inc. All rights reserved.

On intuitionistic fuzzy sub-hyperquasigroups of hyperquasigroups

WiesImage aw A. DudekE-mail The Corresponding Author, a, Bijan DavvazE-mail The Corresponding Author, b and Young Bae JunCorresponding Author Contact Information, E-mail The Corresponding Author, c

a Institute of Mathematics, Technical University, WybrzeImage e WyspiaImage skiego 27, 50-370, WrocImage aw, Poland b Department of Mathematics, Yazd University, Yazd, Iran c Department of Mathematics Educations, Gyeongsang National University, Chinju 660-701, Republic of Korea

Received 1 December 2003; 
Revised 26 February 2004; 
accepted 27 February 2004. 
Available online 13 March 2004.

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Abstract

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we consider the intuitionistic fuzzification of the concept of sub-hyperquasigroups in a hyperquasigroup and investigate some properties of such sub-hyperquasigroups. In particular, we investigate some natural equivalence relations on the set of all intuitionistic fuzzy sub-hyperquasigroups of a hyperquasigroup.

Author Keywords: Hyperquasigroup; Fuzzy sub-hyperquasigroup; Intuitionistic fuzzy sub-hyperquasigroup; Quasigroup

Article Outline

1. Introduction and preliminaries
2. Intuitionistic fuzzy sub-hyperquasigroups
3. Relations
4. Connections with binary quasigroups
Acknowledgements
References

Information Sciences
Volume 170, Issues 2-4, 25 February 2005, Pages 251-262
 
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