A generalization of a copula-based construction of fuzzy implications

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 implication...

وصف كامل

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Fernández Sánchez, Juan, Kolesárová, Anna, Mesiar, Radko, Quesada Molina, José Juan, Úbeda Flores, Manuel
التنسيق: info:eu-repo/semantics/article
اللغة:English
منشور في: 2023
الموضوعات:
الوصول للمادة أونلاين:https://www.sciencedirect.com/science/article/abs/pii/S0165011422002056
http://hdl.handle.net/10835/14926
الوصف
الملخص: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.