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Partially ordered combining structures and multiple sources of knowledge evidences in rule-based expert systems. (English) Zbl 0665.68076
The use of partially ordered combining structures for consulting systems is presented as a generalization of combining structures based on (fully) ordered abelian groups. This theoretical problem is related with both the construction of expert systems in which the knowledge base is the result of contributions from several experts (which might not agree completely), and with the simultaneous consultation of an expert system by several users concerning the same problem.
Some first theoretical results from the author’s Ph. D. Dissertation (Prague 1987) are given, which are relevant to the above mentioned problems, including the case in which the set of experts has some structure (i.e. they are grouped into “teams” or “schools”). However there are still many open problems around this topic which deserves future attention.
An expert system prototype (VEXN) working with such principles was constructed for experimental purposes.
MSC:
68T35 Theory of languages and software systems (knowledge-based systems, expert systems, etc.) for artificial intelligence
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
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References:
[1] L. Fuchs: Partially Ordered Algebraic Structures. Pergamon Press, New York 1963. · Zbl 0137.02001
[2] P. Hájek: Combining functions for certainty degrees in consulting systems. Internat. J. Man-Machine Studies 22 (1985), 59-67. · Zbl 0567.68055 · doi:10.1016/S0020-7373(85)80077-8
[3] P. Hájek, J. J. Valdés: Algebraic foundations of uncertainty processing in rule-based expert systems. Knowledge Processing System (I. Plander, Institute of Technical Cybernetics – Slovak Academy of Sciences, Bratislava 1986.
[4] J. J. Valdés: Algebraic and Logical Foundations of Uncertainty Processing in Rule-based Expert Systems of Artificial Intelligence. Ph.D. Dissertation, Institute of Mathematics, Czechoslovak Academy of Sciences, Prague 1987.
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