A drawback of these models is that they do not consider appropriately the weights of fuzzy relations. This paper proposes a new method to build weighted fuzzy rules by computing cardinality of each fuzzy relation to solve above problems. The proposed method is able to build the weighted fuzzy ...
The Borda method can easily be generalized in order to allow also the aggregation of fuzzy relations instead of crisp ones. In most theoretical papers about the Borda rule, the Borda score appears as a number whose only purpose is to allow the derivation of a ranking. So, only his ordinal...
Kawahara’s characterisation of the cardinality of relations we derive some fundamental properties of cardinalities concerning vectors, points and mapping-related relations. As applications of these results we verify some properties of linear orders and graphs in a calculational manner. These include the ...
Since Zadeh [23] presented the definition of similarity relations, similarity measures between fuzzy sets have been widely studied and applied in various areas [6]. Turksen and Zhong [20] applied similarity measures between fuzzy sets for an approximate analogical reasoning. In a multimedia data...
Metasets are designed to represent and process vague, imprecise data, similarly to fuzzy sets. They enable expressing fractional certainty of membership, equality, and other relations. Even though the general idea stems from and is firmly suited in the classical set theory, it is directed towards...
This paper is aimed at discovering the relations between the parameters of the transitive members of a family of cardinality-based fuzzy measure.Javed, Muhammad AslamHusnine, Syed MuhammadAshraf, SaminaNatl Univ Comp &Journal of intelligent & fuzzy systems: Applications in Engineering and Technology...
De Meyer, A cardinality-based approach to the (symmetric) difference of fuzzy sets, submitted for publication. Google Scholar [7] B. De Baets, H. De Meyer, B. De Schuymer, S. Jenei Cyclic evaluation of transitivity of reciprocal relations Social Choice Welfare, 26 (2006), pp. 217-238 ...
European Journal of Operational ResearchFono, L.A., Gwet, H., Bouchon-Meunier, B.: Fuzzy implication operators for dif- ference operations for fuzzy sets and cardinality-based measures of comparison. EJOR 183, 314-326 (2007)Fono, L.A., Gwet, H., Bouchon-Meunier, B.: Fuzzy implication ...