Title
Generalized fuzzy polygroups endowed with interval valued membership functions
Abstract
In this paper, 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-polygroups in a polygroup, which is a generalization of a fuzzy sub-polygroup, is defined, and related properties are investigated. In particular, the study of interval valued (∈,∈∨q)-fuzzy sub-polygroups in a polygroup is dealt with. Finally, we consider the concept of implication-based interval valued fuzzy sub-polygroups in a polygroups.
Year
Venue
Keywords
2008
Journal of Intelligent and Fuzzy Systems
fuzzy interval value,fuzzy point,fuzzy set,membership function,fuzzy sub-polygroups,related property,new idea,fuzzy sub-polygroup,Generalized fuzzy polygroups,implication-based interval
Field
DocType
Volume
Discrete mathematics,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy mathematics,Fuzzy set,Fuzzy number,Type-2 fuzzy sets and systems,Membership function,Mathematics
Journal
19
Issue
ISSN
Citations 
3
1064-1246
8
PageRank 
References 
Authors
0.68
5
3
Name
Order
Citations
PageRank
Bijan Davvaz138865.86
Jianming Zhan237131.58
K. P. Shum38211.08