On generalized intuitionistic fuzzy knowledge measure and its application in MADM using combined weights

Abstract

The role of the fuzzy sets is eminent in the study of the ambiguous type of information. Generalizations and extensions of fuzzy sets have led to a broader analysis of these types of researches. In this communication, we suggest a generalized knowledge measure of an intuitionistic fuzzy set (IFS). We compare several existing intuitionistic fuzzy entropies and knowledge measures with our proposed intuitionistic fuzzy (IF) knowledge measure which indicates that the proposed IF-knowledge measure has a greater ability in discriminating different IFSs. We also apply our proposed intuitionistic fuzzy knowledge measure in multi-attribute decision-making (MADM) problem by using combined weights i.e., objective and subjective attribute weights.