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Inference in expert systems based on complete multivalued logic. (English) Zbl 0665.68077

The essence of presumed approach towards reasoning in cases of uncertainty consists in assuming the knowledge base as a fuzzy axiomatic theory, i.e., a set of formulae in which each formula is equipped with a weight specifying the degree of membership to the fuzzy set of axioms of the theory. The task of the inference mechanism in such a case is to determine the degree to which each goal logically follows from this theory, and also other presumptions (the user’s answers during the consultation). As a result of these reflections a logical inference mechanism has been designed which was implemented and tested in the system of automatic consultations (SAK). One of the advantages of this approach is the possibility of a natural insertion of contexts into knowledge base which has been used for improvement of the work of the SAK-OPTIMALI expert system.

MSC:

68T37 Reasoning under uncertainty in the context of artificial intelligence
68T35 Theory of languages and software systems (knowledge-based systems, expert systems, etc.) for artificial intelligence
03B52 Fuzzy logic; logic of vagueness
03B50 Many-valued logic
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References:

[1] K. L. Clark, F. G. McCabe: Micro-PROLOG: Programming in Logic. Prentice-Hall, London 1984. · Zbl 0712.68021
[2] J. Ferjenčík J. Ivánek, J. Švenda: O prázdném expertním systému SAK. Expertné systémy, DT ČSVTS Bratislava 1987, pp. 158-167.
[3] P. Hájek: Combining functions for certainty degrees in consulting systems. Internat. J. Man-Machine Studies 22 (1985), 9-76. · Zbl 0567.68055
[4] P. E. Hart R. O. Duda, M. T. Einaudi: PROSPECTOR – A computer based consultation system for mineral exploration. Mathem. Geology 10 (1978), 5, 589-610.
[5] J. Ivánek: An expert system recommending suitable mathematical decision method. Computers and Artificial Intelligence 5 (1986), 3, 241-251.
[6] J. Ivánek J. Švenda, J. Ferjenčík: Usuzování v expertních systémech založené na úplné vícehodnotové logice. AI’ 87 (V. Mařík, Ústav pro informační systémy v kultuře, Praha 1987, pp. 83-92.
[7] J. Pavelka: On fuzzy logic I, II, III. Z. Math. Logik Grundlag. Math. 25 (1979), pp. 45-52, pp. 119-134, pp. 447-464. · Zbl 0435.03020
[8] E. H. Shortliffe: Computer-Based Medical Consultations: MYCIN. Elsevier, New York 1976.
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