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Title: Generalized Möbius transformation of knowledge bases (English)
Author: Daniel, Milan
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 34
Issue: 1
Year: 1998
Pages: [91]-104
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: Möbius transformation
Keyword: expert systems
Keyword: conditional weights
Keyword: knowledge base
MSC: 68T30
MSC: 68T35
idZBL: Zbl 1274.68508
idMR: MR1619058
Date available: 2009-09-24T19:14:02Z
Last updated: 2015-03-27
Stable URL:
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Reference: [2] Daniel M.: A generalization of Möbius transformation.In: 4th Workshop on Uncertainty Processing (R. Jiroušek and G. D. Kleiter, eds.), Prague 1997, pp. 31–42
Reference: [3] Daniel M.: A Generalization of Möbius Transformation for Knowledge Bases which Include Rules with Disjunction in Antecedent.Technical Report No. V-706, ICS AS CR, Prague 1997
Reference: [4] Daniel M., Hájek P., Nguyen P. H.: CADIAG–2 and MYCIN–like systems.Artificial Intelligence in Medicine 9 (1997), 241–259 10.1016/S0933-3657(96)00376-4
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Reference: [7] Hájek P., Valdés J. J.: An analysis of MYCIN–like expert systems.Mathware & Soft Computing 1 (1994), 45–68 MR 1301960


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