Correlation coefficient analysis based on fuzzy negations and representable automorphisms

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 of correlation relationship by considering representable intuitionistic automorphisms.