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Possibilistic alternatives of elementary notions and relations of the theory of belief functions
Kybernetika, Tome 37 (2001) no. 2, pp. 109-126 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The elementary notions and relations of the so called Dempster–Shafer theory, introducing belief functions as the basic numerical characteristic of uncertainty, are modified to the case when probabilistic measures and basic probability assignments are substituted by possibilistic measures and basic possibilistic assignments. It is shown that there exists a high degree of formal similarity between the probabilistic and the possibilistic approaches including the role of the possibilistic Dempster combination rule and the relations concerning the possibilistic nonspecificity degrees.
The elementary notions and relations of the so called Dempster–Shafer theory, introducing belief functions as the basic numerical characteristic of uncertainty, are modified to the case when probabilistic measures and basic probability assignments are substituted by possibilistic measures and basic possibilistic assignments. It is shown that there exists a high degree of formal similarity between the probabilistic and the possibilistic approaches including the role of the possibilistic Dempster combination rule and the relations concerning the possibilistic nonspecificity degrees.
Classification : 28E10, 68T30, 68T37
Keywords: Dempster-Shafer theory; possibilistic approach; belief function 
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Kramosil, Ivan. Possibilistic alternatives of elementary notions and relations of the theory of belief functions. Kybernetika, Tome 37 (2001) no. 2, pp. 109-126. http://geodesic.mathdoc.fr/item/KYB_2001_37_2_a0/

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