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  • 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 quantitities called the aggregate uncertainty (AU) and nonspecifity are discussed within the framework of possibility theory 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 nonspecifity are analyzed and summarized. Moreover, an inequality clarifiyng their mutual relationship is presented. Arelation between possibilistic independence (parameterized by contunuous t-norm) and the additivity requirement frequently imposed on uncertainty measures is explored in detail.
  • 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 quantitities called the aggregate uncertainty (AU) and nonspecifity are discussed within the framework of possibility theory 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 nonspecifity are analyzed and summarized. Moreover, an inequality clarifiyng their mutual relationship is presented. Arelation between possibilistic independence (parameterized by contunuous t-norm) and the additivity requirement frequently imposed on uncertainty measures is explored in detail. (en)
Title
  • Information Quantities and Possibility Measures
  • Information Quantities and Possibility Measures (en)
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  • Information Quantities and Possibility Measures
  • Information Quantities and Possibility Measures (en)
skos:notation
  • RIV/68407700:21230/02:03078663!RIV/2003/MSM/212303/N
http://linked.open.../vavai/riv/strany
  • 21;26
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  • Z(MSM 212300013)
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  • 649109
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  • RIV/68407700:21230/02:03078663
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  • [A9F71B269765]
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  • Milovy
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  • Kroupa, Tomáš
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  • Masarykova univerzita
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  • 21230
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