Interval Additive Generators of Interval T-Norms
WoLLIC '08 Proceedings of the 15th international workshop on Logic, Language, Information and Computation
On interval fuzzy S-implications
Information Sciences: an International Journal
Interval valued fuzzy coimplication
WoLLIC'10 Proceedings of the 17th international conference on Logic, language, information and computation
Interval representations, Łukasiewicz implicators and Smets-Magrez axioms
Information Sciences: an International Journal
Interval-valued fuzzy coimplications and related dual interval-valued conjugate functions
Journal of Computer and System Sciences
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This work considers an interval extension of fuzzy impli- cations based on the best interval representation of usual fuzzy implications. The related properties of fuzzy im- plications can be naturally extended and the interval re- presentation meets the optimality property and preserves the behaviors of the implications in the interval endpoints. Our discussion mainly focuses on the best interval repre- sentation of three important classes of fuzzy implications: S-implications, R-implications and QL-implications. We analyze sufficient and necessary conditions for these three classes of implications as inclusion-monotonic functions in both arguments satisfying the minimal properties of fuzzy implications.