A NEW CLASS OF FUZZY SUBSETHOOD MEASURES
Fuzzy Subsethood measures; Implication operator; Fuzzy entropy; Penalty functions
In this work we discuss a new class of fuzzy subsethood measures between fuzzy sets. We introduce a new definition of a fuzzy subsethood measure as an intersection of other axiomatizations by aggregating fuzzy implication operators. We provide two construction methods to obtain these fuzzy subsethood measures. With our approach we recover some of the classical measures which have been discussed in the literature, as the one given by Goguen. We also show how we can use our developments to generate fuzzy entropies, fuzzy distances, penalty functions and similarity measures. Finally we study some fuzzy indexes generated from this new class of fuzzy
subsethood measures.