Information Quantities and Possibility Measures
نویسنده
چکیده
Information theory for non-additive measures has always attracted considerable attention. This effort resulted, among others, in defining information measures for Dempster-Shafer (D-S) theory. In the paper, the properties of information quantities called the aggregate uncertainty (AU) and the nonspecificity are discussed within the framework of possibility theory that may be viewed as a special part of D-S theory for this purpose. An axiomatic approach to possibility theory (formulated by de Cooman) is adopted. Fundamental properties of the AU and the nonspecificity are analyzed and summarized. Moreover, an inequality clarifying their mutual relationship is presented. A relation between possibilistic independence (parameterized by a continuous t-norm) and the additivity requirement frequently imposed on uncertainty measures is explored in detail.
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