Information Sciences: an International Journal
On fuzzy implication operators
Fuzzy Sets and Systems
Fuzzy Sets in Approximate Reasoning and Information Systems
Fuzzy Sets in Approximate Reasoning and Information Systems
On the relationship between some extensions of fuzzy set theory
Fuzzy Sets and Systems - Theme: Basic notions
Exact calculations of extended logical operations on fuzzy truth values
Fuzzy Sets and Systems
IEEE Transactions on Fuzzy Systems
Interval valued fuzzy coimplication
WoLLIC'10 Proceedings of the 17th international conference on Logic, language, information and computation
On type-2 fuzzy sets and their t-norm operations
Information Sciences: an International Journal
Interval-valued fuzzy coimplications and related dual interval-valued conjugate functions
Journal of Computer and System Sciences
On type-2 fuzzy relations and interval-valued type-2 fuzzy sets
Fuzzy Sets and Systems
Fuzzy logic and self-referential reasoning: a comparative study with some new concepts
Artificial Intelligence Review
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In this paper we consider algebras of fuzzy truth values equipped with an implication operation. Generalizing the definition of type-1 fuzzy implications, we discuss extended fuzzy S-implications and coimplications and also extended residual implications and coimplications, in particular to the extended residual of minimum. We study the algebraic properties of these operations and their relationships to extended t-norms and t-conorms in particular to meet and join. These investigations are intended to provide a theoretical background for type-2 approximate reasoning applications.