Information Measures in Possibility Theory

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Information Measures in Possibility Theory

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Information Measures in Possibility Theory

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

JC - Počítačový hardware a software

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2002

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

6

Strana od-do

143-148

Název nakladatele

A. A. Balkema Publisher

Místo vydání

Sendai

Místo konání akce

Koyasan

Datum konání akce

14. 9. 2002

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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