Paper Info
Title
A new view of fuzzy hyperquasigroups
Abstract
This paper concerns a relationship between fuzzy sets and algebraic hyperstructures. It is a continuation of ideas presented by Davvaz(Fuzy Sets Syst. 101: 191.195 1999) and Bhakat and Das(Fuzzy Sets Syst. 80: 359.368 1996). The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set, which is a generalization of quasi-coincidence of a fuzzy point with a fuzzy set, is introduced. Using this new idea, the notion of interval valued (α, β)-fuzzy sub-hyperquasigroups in a hyperquasigroup, which is a generalization of a fuzzy sub-quasigroup, is defined, and related properties are investigated. In particular, the study of interval valued (∈, ∈, ∨q)-fuzzy sub-hyperquasigroups in a hyperquasigroup is dealt with. Finally, we consider the concept of implication-based interval valued fuzzy sub-hyperquasigroups in a hyperquasigroup.
Year
DOI
Venue
2009
10.3233/IFS-2009-0423
Journal of Intelligent and Fuzzy Systems
Keywords
Field
DocType
fuzzy interval value,fuzzy point,fuzzy set,fuzzy hyperquasigroups,Fuzzy Sets Syst,fuzzy sub-quasigroup,fuzzy sub-hyperquasigroups,algebraic hyperstructures,new idea,new view,Fuzy Sets Syst,implication-based interval
Discrete mathematics,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy mathematics,Fuzzy set,Fuzzy subalgebra,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
20
4
1064-1246
Citations 
PageRank 
References 
10
0.72
8
Authors
3
Name
Order
Citations
PageRank
J. Zhan1262.35
B. Davvaz279557.79
K. P. Shum38211.08