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On probabilistic interpretation of fuzzy numbers

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  • Stanisław Heilpern

Abstract

The paper is devoted to probabilistic interpretation of fuzzy numbers. The relationships between the fuzzy numbers and the interval random set are studied. The ordering of fuzzy numbers based on the stochastic dominance and the defuzzification problem based on the functional representation of preference relation and random simulation are presented. The problems of approximation of the fuzzy numbers by the crisp intervals and trapezoidal fuzzy numbers are investigated.

Suggested Citation

  • Stanisław Heilpern, 2003. "On probabilistic interpretation of fuzzy numbers," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 13(4), pages 61-73.
    • Handle: RePEc:wut:journl:v:4:y:2003:p:6
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    References listed on IDEAS

    as
    1. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
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