Abstract | ||
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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 |
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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. Kazancı | 1 | 50 | 5.37 |
B. Davvaz | 2 | 795 | 57.79 |
S. Yamak | 3 | 104 | 8.02 |