Measuring the information and character of a fuzzy measure

We discuss the use of the fuzzy measure for representing information about uncertain variables. We describe the relationship between the fuzzy measure and the Dempster-Shafer (D-S) belief structure. A method for generating the fuzzy measures associated with a D-S belief structure is described. We discuss the use of the Shapley index as a means for providing an entropy for fuzzy measures. We introduce the cardinality index of a fuzzy measure and use it to define the attitudinal character of a fuzzy measure.