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This paper aims to study the correlation between Atanassov's intuitionistic fuzzy sets (A-IFSs) obtained as image of strong intuitionistic fuzzy negations. We consider the action of strong fuzzy negations in order to verify the conditions under which the correlation coefficient related to such A-IFSs and their corresponding conjugate constructions are obtained. We attempt to present algebraic expressions...
Overlap functions are aggregation operators used in the overlap problem or when the associativity is not required. Residual implications derived from them (RO-implications) preserve the residuation property, and any overlap function O and the respective RO-implication form an adjoint pair, which is important in many applications. RO-implications are weaker than R-implications constructed from positive...
This paper aims to study the correlation between intuitionistic fuzzy sets obtained as image of intuitionistic fuzzy t-norms and t-conorms. We consider the action of automorphisms and the class of strong fuzzy negations in order to verify the conditions under which the correlation coefficient related to such fuzzy connectives and their corresponding conjugate and dual constructions are obtained. We...
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