A generalization of a copula-based construction of fuzzy implications
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Fernández Sánchez, Juan; Kolesárová, Anna; Mesiar, Radko; Quesada Molina, José Juan; Úbeda Flores, ManuelFecha
2023Resumen
In this paper we complement and generalize some constructions of fuzzy implications based on two arbitrary copulas, obtaining new fuzzy implications. By means of (restricted) aggregation functions acting on [0, 1]S, where Sis a fixed finite or infinite set, and related S-systems of fuzzy implications and transforming functions, we introduce and discuss a rather general method for constructing fuzzy implications. Several examples illustrating our results are also included.
Palabra/s clave
Aggregation function
Copula
Fuzzy implication