SECOND INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITIES AND THEIR APPLICATIONS
Cornell University
Ithaca, NY, USA
26 - 29 June 2001

ELECTRONIC PROCEEDINGS

Ronald Yager

Characterizing Fuzzy Measures Used in Uncertainty Representation

Abstract

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 DS 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


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