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Probabilistic and Non-Probabilistic Representation of Unctertainties in Expert Systems

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Mathematical Models for Decision Support

Part of the book series: NATO ASI Series ((NATO ASI F,volume 48))

Abstract

The definitions of “expert systems” vary considerably. Rather than specifying here which of the numerous definitions we accept, or introducing an additional definition, we shall just mention a number of features of expert systems, which might be accepted by most designers and users of expert systems and which seem to be of relevance with respect to fuzzy sets:

  1. a.

    The intended area of application is restricted as to its scope, ill-structured and uncertain. Therefore, no welldefined algorithms are available or are efficient enough to solve the problem.

  2. b.

    The system is — at least partly — based on expert knowledge which is either embodied in the system or which can be obtained from an expert and be analysed, stored and used by the system.

  3. c.

    The system has some inference capability suitable to use the knowledge — in whatever way it is stored — to draw conclusions.

  4. d.

    The interfaces to the user on one side and the expert on the other side should be such that the expert system can be used directly and that no “human interpreter” is needed between the system and the user or expert.

  5. e.

    Since heuristic elements are contained in an expert system, no optimality or correctness guarantee is provided. Therefore and in order to increase the acceptance by the user, it is considered to be at least desirable that the system contains a “justification” or “explaining” module.

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References

  1. Adamo, J.M.: Fuzzy decision trees, in: Fuzzy Sets and Systems 4 (1980), pp. 207–219.

    Article  MATH  MathSciNet  Google Scholar 

  2. Adlassnig, K.-P., Kolarz, G., Scheithauer, W.: Present state of the medical expert systems CADIAC-2, in: Med. Inform. 24 (1985), pp. 13–20.

    Google Scholar 

  3. Alexeyev, A.V.: Fuzzy algorithms execution software: The FAGOL-System, in: Kacprzyk, J., Yager, R. (edts.), 1985, pp. 289–300.

    Google Scholar 

  4. Appelbaum, L., Ruspini, E.H.: ARIES: An approximate reasoning inference enquire, in: Gupta et al. (edts.), 1985, pp. 745–755.

    Google Scholar 

  5. Baldwin, J.F.: Support logic programming, in: Int. Journal of Int. Systems 1 (1986), pp. 73–104.

    MATH  Google Scholar 

  6. Baldwin, J.G., Guild, N.C.F.: Comparison of fuzzy sets on the same decision space, in: Fuzzy Sets and Systems 2 (1979), pp. 213–232.

    Article  MATH  MathSciNet  Google Scholar 

  7. Benson, I.: PROSPECTOR: An expert system for mineral exploration, in: Mitra, G. (ed.), 1986, pp. 17–26.

    Google Scholar 

  8. Bonissone, P.P.: The problem of linguistic aproximation in systems analysis, Ph.D. Thesis, DEECS, Berkeley 1979.

    Google Scholar 

  9. Bonissone, P.B.: A fuzzy set based linguistic approach: Theory and applications, in: Gupta, M.M. and Sanchez, E. (edts.): Approximate Reasoning in Decision Analysis, Amsterdam 1982, pp. 329–339.

    Google Scholar 

  10. Bonissone, P.P. and Decker, K.S.: Selecting uncertainty calculi and granularity, in: Kanal and Lemmer (edts.), 1986, pp. 217–247.

    Google Scholar 

  11. Buchanan, B., Shortliffe, E. (edts.): Rule-based expert systems (Sec. Pr.), Reading, Mass. 1985.

    Google Scholar 

  12. Buckley, J.J., Silver, W., Tucker, D.: A fuzzy expert system, in: Fuzzy Sets and Systems 21 (1986)

    Google Scholar 

  13. Cayrol, M., Farreny, H., Prade, H.: Fuzzy pattern matching. Kybernetes 11 (1982), pp. 103–116.

    Google Scholar 

  14. Dubois, D., Prade, H.: Criteria aggregation and ranking of alternatives in the framework of fuzzy set theory, in: Zimmermann, Zadeh, Gaines (edts.): Fuzzy Sets and Decision Analysis, Amsterdam, New York 1984, pp. 209–241.

    Google Scholar 

  15. Ernst, Ch.J.: A logic programming metalanguage for expert systems, in: Kacprzyk, J., Yager, R. (edts.) 1985, pp. 280–288.

    Google Scholar 

  16. Farreny, H., Prade, H.., Wyss, E.: Approximate reasoning in a rule-based expert system using possibility theory, Proc. 10th IFIP World Congr., Dubl. 1986.

    Google Scholar 

  17. Fieschi, M., Joubert, M., Fieschi, D., Soula, G., Roux, M.: Sphinx: An interactive system for medial diagnoses aids, in: Gupta, Sanchez (edts.) 1982, pp. 269–282.

    Google Scholar 

  18. Gaines, B.R., Shaw, M.L.G.: Systemic foundations for reasoning in expert systems, in: Gupta et al (edts.) 1985, pp. 271–282.

    Google Scholar 

  19. Giles, R.: A computer program for fuzzy reasoning, in: Fuzzy Sets and Systems 4 (1980), pp. 221–234.

    Article  MATH  MathSciNet  Google Scholar 

  20. Gupta, M.M., Kandel, A., Bandler, W., Kiszka, J.B. (edts.): Approximate reasoning in expert systems, Amsterdam, New York, Oxford 1985.

    Google Scholar 

  21. Holroyd et al.: Developing expert systems for management applications, Omega 13 (1985), pp. 1–11.

    Article  Google Scholar 

  22. Jones, P.L.K.: REVEAL: Adressing DSS and expert systems, in: Mitra (ed.) 1986, pp. 49–58.

    Google Scholar 

  23. Kacprzyk, J., Yager, R.R. (edts.): Management decision support systems using fuzzy sets and possibility theory, Köln 1985.

    Google Scholar 

  24. Kling, R.: Fuzzy Planner: Reasoning with inexact concepts in a procedural problem-solving language, in: J. of Cybernetics 4 (1974), pp. 105–122.

    Article  MathSciNet  Google Scholar 

  25. Mamdani, E.H., Gaines, B.R. (edts.): Fuzzy reasoning and its applications, London, New York, Toronto 1981.

    Google Scholar 

  26. Martin-Clouaire, R., Prade, H.: SPII: A simple inference engine capable of accomodating both imprecision and uncertainty, in: Mitra, G. (ed.) 1986, pp. 117–131.

    Google Scholar 

  27. Mitra, G. (ed.): Computer assised decision making, Amsterdam, New York, Oxford 1986.

    Google Scholar 

  28. Negoita, C.V.: Expert systems and fuzzy sets, Menlo Park, Calif. 1985.

    Google Scholar 

  29. Ogawa, H., Fu, K.S., Yao, J.T.P.: SPERIL-II: An expert system for damage assessment of existing structure, in: Gupta et al. (edts.), 1985, pp. 731–744.

    Google Scholar 

  30. Shafer, G.: A mathematical theory of evidence, Princeton, NJ, 1976.

    Google Scholar 

  31. Shafer, G.: Probability judgment in artificial intelligence, in: Kanal, L.N. and Lemmer, J.F. (edts.): Uncertainty in Artificial Inteligence, Amsterdam, New York 1986.

    Google Scholar 

  32. Stefik, et al.: The organization of expert systems, Art. Int. 18 (1982), pp. 135–175.

    Article  Google Scholar 

  33. Togai, M., Watanabe, H.: A VLSI implementation of a fuzzy inference engine toward an expert system on a chip, in: Inf. Sc. 38 (1986), pp. 147-163).

    Google Scholar 

  34. Wang, P.P. (ed.): Advances in fuzzy sets, possibility theory and applications, New York, London 1983.

    Google Scholar 

  35. Wallstein, T., Budescu, D., Rappaport, A., Zweck, R., Forsyth, B.: Measuring the vague meaning of probability terms, in: J. of Exp. Psychology 115 (1986), pp. 348–365.

    Google Scholar 

  36. Werners, B.: Interaktive Entscheidungsunterstützung durch ein flexibles mathematisches Programmierungssystem, München 1984.

    Google Scholar 

  37. Whalen, Th., Schott, B.: Goal-directed aproxmate reasoning in a fuzzy production system, in: Gupta et al. (edts.), 1985, pp. 505–518.

    Google Scholar 

  38. Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages, in: Comp. + Maths, with Appl. 9 (1983), pp. 149–184.

    MATH  MathSciNet  Google Scholar 

  39. Zadeh, L.A.: The role of fuzzy logic in the management of uncertainty in expert systems, in: Fuzzy Sets and Systems 11(1983), pp. 183–227.

    Article  MathSciNet  Google Scholar 

  40. Zemankova-Leech, M., Kandel, A.: Fuzzy relational data bases — a key to expert systems, Köln 1984.

    Google Scholar 

  41. Zemankova-Leech, M., Kandel, A.: Uncertainty propagation to expert systems, in: Gupta et al. (edts.) 1985, pp. 529–540.

    Google Scholar 

  42. Zimermann, H.-J., Zadeh, L.A., Gaines, B.R. (edts.): Fuzzy sets and decision analysis, Amsterdam, New York, Oxford 1984.

    Google Scholar 

  43. Zimmermann, H.-J.: Fuzzy set theory and its applications, Boston 1985.

    Google Scholar 

  44. Zimmermann, H.-J., Zysno, P.: Quantifying vagueness in decision models, in: European Journal of Operational Research 22 (1985), pp. 148–158.

    Article  MATH  MathSciNet  Google Scholar 

  45. Zimmermann, H.-J.: Fuzzy sets, decision making and expert systems, Boston 1987.

    Google Scholar 

  46. Zimmermann, H.-J., Zysno, P.: Latent connectives in human decision making, in: Fuzzy Sets and Systems 4 (1980), pp. 37–51.

    Article  MATH  Google Scholar 

  47. Zwick, R., Carlstein, E., Budescu, D.: Measures of similarity between fuzzy concepts: A comparative analysis, GSIA WP #34/86/87, Pittsburgh 1986.

    Google Scholar 

  48. Zwick, R., Walsten, T.: Combining stochastic uncertainty and linguistic inexactness: Theory and experimental evaluation, GSIA Working Paper #37/86/87, Pittsburgh 1987.

    Google Scholar 

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Zimmermann, HJ. (1988). Probabilistic and Non-Probabilistic Representation of Unctertainties in Expert Systems. In: Mitra, G., Greenberg, H.J., Lootsma, F.A., Rijkaert, M.J., Zimmermann, H.J. (eds) Mathematical Models for Decision Support. NATO ASI Series, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83555-1_35

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  • DOI: https://doi.org/10.1007/978-3-642-83555-1_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83557-5

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