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Generalized Möbius transformation of knowledge bases
Kybernetika, Tome 34 (1998) no. 1, pp. 91-104 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Möbius transformation is an important tool for establishing weights of compositional expert systems rules from conditional weights. In this paper, an applicability of Möbius transformation of rule bases is also extended to knowledge bases with elementary disjunctions in antecedents of rules. This paper contains an existence theorem, an algorithm of the transformation and some open problems which tend to maximal generality as well.
Möbius transformation is an important tool for establishing weights of compositional expert systems rules from conditional weights. In this paper, an applicability of Möbius transformation of rule bases is also extended to knowledge bases with elementary disjunctions in antecedents of rules. This paper contains an existence theorem, an algorithm of the transformation and some open problems which tend to maximal generality as well.
Classification : 68T30, 68T35
Keywords: Möbius transformation; expert systems; conditional weights; knowledge base 
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     author = {Daniel, Milan},
     title = {Generalized {M\"obius} transformation of knowledge bases},
     journal = {Kybernetika},
     pages = {91--104},
     year = {1998},
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     zbl = {1274.68508},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1998_34_1_a8/}
}
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Daniel, Milan. Generalized Möbius transformation of knowledge bases. Kybernetika, Tome 34 (1998) no. 1, pp. 91-104. http://geodesic.mathdoc.fr/item/KYB_1998_34_1_a8/

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