On fuzzy implication operators
Fuzzy Sets and Systems
Contrapositive symmetry of fuzzy implications
Fuzzy Sets and Systems
Automorphisms, negations and implication operators
Fuzzy Sets and Systems - Implication operators
An approach to measure the robustness of fuzzy reasoning: Research Articles
International Journal of Intelligent Systems
Smets-Magrez axioms for R-implicators in interval-valued and intuitionistic fuzzy set theory
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
On the characterizations of fuzzy implications satisfying I(x,y)=I(x,I(x,y))
Information Sciences: an International Journal
(S, N)- and R-implications: A state-of-the-art survey
Fuzzy Sets and Systems
Fuzzy Implications
Migrativity of aggregation functions
Fuzzy Sets and Systems
Fuzzy Sets and Systems
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Xor-Implications and E-Implications: Classes of Fuzzy Implications Based on Fuzzy Xor
Electronic Notes in Theoretical Computer Science (ENTCS)
Implicators based on binary aggregation operators in interval-valued fuzzy set theory
Fuzzy Sets and Systems
Aggregation operators and models
Fuzzy Sets and Systems
A class of aggregation functions encompassing two-dimensional OWA operators
Information Sciences: an International Journal
Continuous R-implications generated from representable aggregation functions
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes
Information Sciences: an International Journal
Fuzzy Sets and Systems
An extension of the migrative property for triangular norms
Fuzzy Sets and Systems
Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology
Information Sciences: an International Journal
Fuzzy Sets and Systems
Aggregation functions and contradictory information
Fuzzy Sets and Systems
On fuzzy implications determined by aggregation operators
Information Sciences: an International Journal
A Survey on Fuzzy Implication Functions
IEEE Transactions on Fuzzy Systems
R-implications and the exchange principle: The case of border continuous t-norms
Fuzzy Sets and Systems
Stability of weighted penalty-based aggregation functions
Fuzzy Sets and Systems
Residual implications on the set of discrete fuzzy numbers
Information Sciences: an International Journal
Exponential smoothing with credibility weighted observations
Information Sciences: an International Journal
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The aim of this work is to study the I"A fuzzy implication obtained by composition of an aggregation function A and a family I of fuzzy implications. Thus, it discusses under which conditions such functions preserve the main properties of fuzzy implications. In addition, by aggregating conjugate fuzzy implications it is shown that an I"A fuzzy implication can be preserved by action of an order automorphism. Finally, we introduce the family of I"A fuzzy implications obtained by taking the extended classes of (S,N)-implications which are given by t-subconorms and of R-implications underlying left continuous t-subnorms. Their dual construction is also considered.