We introduce the fuzzy measure and its use in representing information about uncertain variables. The relationship between the fuzzy measure and the Dempster-Shafer belief structure is discussed. A method for generating the family of fuzzy measures associated with a D–S belief structure is described. We discuss the use of the Shapley index as a means for introducing an extension of concept of entropy to fuzzy measures. We introduce the cardinality index of a fuzzy measure and use it to define the attitudinal character of a fuzzy measure.
Keywords. fuzzy measures, cardinality based measures, entropy, attitude
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Authors addresses:
Machine Intelligence Insitute
Iona College
New Rochelle, NY 10801
E-mail addresses:
| Ronald Yager | yager@panix.com |