Correlation Coefficient of Modal Level Operators: An Application to Medical Diagnosis

Alex Bertei, Renata Reiser, Luciana Foss

Abstract

This paper studies the correlation coefficient (A-CC) related to the Atanassov’s intuitionistic fuzzy sets (A-IFS) which are obtained as image of modal operators. Extended results from the action of A-CC over necessity and possibility modal operators are considered, determining the A-CC of A-IFS obtained as image of the !A and ?A modal level operators and discussing the main conditions under which the main properties related to such fuzzy sets are preserved by conjugate and complement operations. In addition, a simulation based on the proposal methodology using modal level operators is applied to a medical diagnosis analysis.

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