A note on measuring fuzziness for intuitionistic and interval-valued fuzzy sets

This work takes advantage of the connection between intuitionistic and interval-valued membership grades to transfer the intuitionistic measure of fuzziness to one suitable for intervals-valued fizzy sets.

Abstract

We first review the concept of fuzziness provided by DeLuca and Termini, and the view of fuzziness as related to the lack of distinction between a set and its negation. We then suggest a measure of fuzziness for intuitionistic fuzzy sets. We show that this measure satisfies the required conditions for an intuitionistic measure of fuzziness. We then take advantage of the connection between intuitionistic and interval-valued membership grades to transfer the intuitionistic measure of fuzziness to one suitable for interval-valued fizzy sets.