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Decision influence diagrams with fuzzy utilities

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Advances in Intelligent Computing — IPMU '94 (IPMU 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 945))

Abstract

In this paper, decision influence diagrams are studied when the assessment of utilities with real numerical values is considered to be too restrictive, and the use of fuzzy sets to model the problem in terms of fuzzy utilities seems appropiate. An algorithm to solve decision influence diagrams with fuzzy utilities is suggested.

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References

  1. Gil, M.A. & Jain, P. (1992). Comparison of Experiments in Statistical Decision problems with fuzzy utilities. IEEE Trans. Syst., Man and Cybern. 22, 662–670.

    Google Scholar 

  2. Kolodziejczyk, W. (1986). Orlovsky's concept of Decision Making with fuzzy preference relation-further results. Fuzzy Sets and Systems 19, 11–20.

    Google Scholar 

  3. Negoita, C.V. & Ralescu, D.A. (1987). Simulation, Knowledge-based Computing, and Fuzzy Statistics. New York, NY: Van Nostrand Reinhold Co.

    Google Scholar 

  4. Olmsted, S.M. (1983). On representing and solving decision problems. Ph. D. Thesis, Stanford University.

    Google Scholar 

  5. Orlovsky, S.A. (1980). On formalization of a general fuzzy mathematical problem. Fuzzy Sets and Systems 3, 311–321.

    Google Scholar 

  6. Puri, M.L. & Ralescu, D.A. (1985). The concept of Normality for Fuzzy Random Variables. Ann. Probab. 13, 1373–1379.

    Google Scholar 

  7. Puri, M.L. & Ralescu, D.A. (1986). Fuzzy Random Variables. J. Math. Anal. Appl. 114, 409–422.

    Google Scholar 

  8. Shachter, R. (1986). Evaluating Influence Diagrams. Opns. Res. 34, 871–882.

    Google Scholar 

  9. Smith, J.Q. (1988). Decision Analysis. A Bayesian Approach. Chapman and Hall, London.

    Google Scholar 

  10. Wonnacott, R.J. & Wonnacott, T.H. (1985). Introductory Statistics. New York, NY:Wiley.

    Google Scholar 

  11. Zadeh, L.A. (1975). The concept of a linguistic variable and its application to approximate reasoning. Inf. Sci., Part 1: Vol.8, 199–249; Part 2: 8, 301–353; Part 3: 9, 43–80.

    Google Scholar 

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Authors and Affiliations

  1. Departemento de Matemáticas, Universidad de Oviedo, 33071, Oviedo, Spain

    Miguel López

Authors
  1. Miguel López
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Editor information

Bernadette Bouchon-Meunier Ronald R. Yager Lotfi A. Zadeh

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© 1995 Springer-Verlag Berlin Heidelberg

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López, M. (1995). Decision influence diagrams with fuzzy utilities. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds) Advances in Intelligent Computing — IPMU '94. IPMU 1994. Lecture Notes in Computer Science, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035944

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  • DOI: https://doi.org/10.1007/BFb0035944

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60116-6

  • Online ISBN: 978-3-540-49443-0

  • eBook Packages: Springer Book Archive

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