Paper Info
Title
Interval-valued fuzzy n-ary subhypergroups of n-ary hypergroups
Abstract
This paper provides a continuation of ideas presented by Davvaz and Corsini (J Intell Fuzzy Syst 18(4):377–382, 2007). Our aim in this paper is to introduce the concept of quasicoincidence of a fuzzy interval value with an interval-valued fuzzy set. This concept is a generalized concept of quasicoincidence of a fuzzy point within a fuzzy set. By using this new idea, we consider the interval-valued (∈, ∈ ∨q)-fuzzy n-ary subhypergroup of a n-ary hypergroup. This newly defined interval-valued (∈, ∈ ∨q)-fuzzy n-ary subhypergroup is a generalization of the usual fuzzy n-ary subhypergroup. Finally, we consider the concept of implication-based interval-valued fuzzy n-ary subhypergroup in an n-ary hypergroup; in particular, the implication operators in £ukasiewicz system of continuous-valued logic are discussed.
Year
DOI
Venue
2009
10.1007/s00521-008-0207-1
Neural Computing and Applications
Keywords
DocType
Volume
fuzzy interval value,usual fuzzy n-ary subhypergroup,fuzzy point,fuzzy set,Interval-valued fuzzy n-ary subhypergroups,hypergroupn-ary hypergroupfuzzy set � belong toquasicoincident withn-ary subhypergroup � fuzzy,interval-valued fuzzy set,generalized concept,fuzzy n-ary subhypergroup,_q-fuzzy n-ary subhypergroup,J Intell Fuzzy Syst,n-ary hypergroup,n-ary hypergroups,implication-based interval-valued fuzzy n-ary
Journal
18
Issue
ISSN
Citations 
8
1433-3058
4
PageRank 
References 
Authors
0.49
14
3
Name
Order
Citations
PageRank
B. Davvaz179557.79
Osman Kazancı2813.51
S. Yamak31048.02