A Note on the Existing Definition of Fuzzy Entropy

In this note, we shall deal with entropy of fuzzy sets. Finding entropy of a fuzzy set is very important in the application of fuzzy set theory. Until now, there have been several methods to measure the fuzziness of a fuzzy set. The objective of this article is to show how such definitions fails to give a reliable measure of entropy of fuzzy sets, if we use an extended definition of complementation of fuzzy sets using reference function, which in turn prompts us to define fuzzy entropy in a different way with reference to Shannon’s entropy.