Measures of discrimination and ambiguity for fuzzy sets

A new informative measure for discrimination between two fuzzy sets is introduced. This discriminating measure reduces, under a special condition to the nonprobabilistic entropy discussed by A. Deluca and S. Termini (1972). The divergence measure between two sets is defined along with a large set of properties. It is used to define an ambiguity (fuzziness) measure. A. Renyi's (1961) probabilistic entropy of order alpha is extended to define a nonprobabilistic entropy of a fuzzy set. Various properties of this definition are considered.<<ETX>>