A method for constructing V. Young's fuzzy subsethood measures and fuzzy entropies

In the first part of the paper we show the three most important axiomatizations of the concept of subsethood measure. Then we present the reasons why we focus on the definition given by V. Young. Next we study a method for constructing said measures and we analyze the conditions in which they satisfy the axioms of Sinha and Dougherty. Afterwards we study the way of obtaining fuzzy entropies that fulfil the valuation property from said subsethood measures