Correlations from conjugate and dual intuitionistic fuzzy triangular norms and conorms

Abstract

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 attend to present algebraic expressions of correlation relationship by considering t-representable intuitionistic fuzzy t-norms and t-conorms.