Divergence measures and aggregation operations

Abstract

In this paper we study the relations between divergence measures of two fuzzy sets and other well-known functions, namely aggregation operations and measures of fuzziness. We will show that these functions can be related. Therefore, we study some consequences of these properties as an application; indeed, we obtain some special cases of divergence measures whenever the aggregation operation fulfils same properties. Another application is the translation of some properties of divergence measures tu measures of fuzziness.