Abstract | ||
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This paper presents the fuzzy (S, N- and QL- subimplication classes, which is obtained by a distributive n-ary aggregation operation performed over the families T of t-subnorms and S t-subconorms along with a fuzzy negation. Since these classes of sub implications are explicitly represented by t-subconorms and t-subnorms which are characterized by generalized associativity, the corresponding (S, N)-and QL-sub implications referred as IS, N and IS, T, N, are characterized by distributive n-ary aggregation together with related generalizations as the exchange and neutrality principles. Additionally, we discuss two subclasses of (S, N)-and QL-sub implication classes, which are obtained by the median aggregation operation performed over the standard negation Ns together with the families of TP and SP of t-subnorms and t-subconorms, respectively. In particular, the subclass TP extends the product t-norm TP as well as SP extends the algebraic sum SP. As the main results, the family of sub implications ISP, N and ISP, TP, N extends the implication by preserving the corresponding properties. |
Year | DOI | Venue |
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2013 | 10.1109/WEIT.2013.11 | WEIT |
Keywords | DocType | Citations |
QL-sub implication,subclass TP,fuzzy negation,sub implication,distributive n-ary aggregation operation,distributive n-ary aggregation,corresponding property,QL-sub implication class,median aggregation operation,Aggregating Fuzzy QL-Implications,product t-norm TP | Conference | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
脥bero Camilo Kreps Ben铆tez | 1 | 0 | 0.34 |
Renata Hax Sander Reiser | 2 | 110 | 10.90 |
Adenauer C. Yamin | 3 | 62 | 20.67 |
Benjam铆n Bedregal | 4 | 1 | 1.38 |