Title
Fuzzy n-ary hypergroups related to fuzzy points
Abstract
In this paper, we introduce and study a new sort of fuzzy n-ary sub-hypergroups of an n-ary hypergroup, called $$(\in,\in \vee q)$$-fuzzy n-ary sub-hypergroup. By using this new idea, we consider the $$(\in,\in\vee q)$$-fuzzy n-ary sub-hypergroup of a n-ary hypergroup. This newly defined $$(\in,\in \vee q)$$-fuzzy n-ary sub-hypergroup is a generalization of the usual fuzzy n-ary sub-hypergroup. Finally, we consider the concept of implication-based fuzzy n-ary sub-hypergroup in an n-ary hypergroup and discuss the relations between them, in particular, the implication operators in $$\pounds$$ukasiewicz system of continuous-valued logic are discussed.
Year
DOI
Venue
2010
10.1007/s00521-009-0313-8
Neural Computing and Applications
Keywords
DocType
Volume
fuzzy point,new sort,implication-based fuzzy n-ary sub-hypergroup,usual fuzzy n-ary sub-hypergroup,implication operator,n-ary hypergroup,vee q,continuous-valued logic,fuzzy n-ary sub-hypergroups,fuzzy n-ary sub-hypergroup,new idea
Journal
19
Issue
ISSN
Citations 
5
1433-3058
3
PageRank 
References 
Authors
0.46
4
3
Name
Order
Citations
PageRank
O. Kazancı1505.37
B. Davvaz279557.79
S. Yamak31048.02