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International Journal of General Systems Volume 22, 1994 - Issue 4
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Original Articles

MEASURING TOTAL UNCERTAINTY IN DEMPSTER-SHAFER THEORY: A NOVEL APPROACH

DAVID HARMANEC Department of Systems Science, Thomas J. Watson School of Engineering and Applied Science, State University of New York at Binghamton, Binghamton, NewYork, 13902, U.S.A.
&
GEORGE J. KLIR Department of Systems Science, Thomas J. Watson School of Engineering and Applied Science, State University of New York at Binghamton, Binghamton, NewYork, 13902, U.S.A.
Pages 405-419 | Received 06 Dec 1993, Published online: 06 Apr 2007
 
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Abstract

A novel approach to measuring uncertainty and uncertainty-based information in Dempster-Shafer theory is proposed (independently also proposed by Maeda et al. [1993]). It is shown that the proposed measure of total uncertainty in Dempster-Shafer theory is both additive and subadditive, has a desired range, and collapses correctly to either the Shannon entropy or the Hartley measure of uncertainty for special probability assignment functions. The paper is restricted, for the sake of simplicity, to finite sets.

Notes

This research workwas spported in part by the NSF GrantNo. IST-90 15675.

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