Information Measures in Possibility Theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F02%3A03075136" target="_blank" >RIV/68407700:21230/02:03075136 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Information Measures in Possibility Theory
Original language description
The considerable attention has been attracted to information theory for non-additive measures of uncertainty in the context of the fuzzy modeling. This effort resulted among others in defining several information measures for Dempster-Shafer evidence theory. In the contribution, I will discuss properties of information quantities called the aggregate uncertainty and the nonspecificity within the framework of possibility theory that may be viewed as a special part of Dempster-Shafer theory for this purpose. We adopt an axiomatic approach of possibility theory as formulated by de Cooman. Since the aggregate uncertainty is conceived as a possibilistic counterpart of the Shannon entropy, basic properties of the aggregate uncertainty are compared with thoseof the Shannon entropy. The fundamental properties of the nonspecificity are explored as well. A relation between possibilistic independence (parameterized by a continuous t-norm) and the additivity requirement frequently imposed on unc.
Czech name
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Czech description
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Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of Seminar on Data Analysis and Decision Making under Uncerrtainty
ISBN
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ISSN
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e-ISSN
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Number of pages
6
Pages from-to
143-148
Publisher name
A. A. Balkema Publisher
Place of publication
Sendai
Event location
Koyasan
Event date
Sep 14, 2002
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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