Abstract
The problem of determining the expected value of a variable basing on a fuzzy evidence of the type “Pr (V is A) is Q” is considered. Formal properties of the problem, as well as a set of procedures solving it, are given. The procedures are written in TURBO Pascal. With their help r—levels of the fuzzy expected value for any fixed r∈(0, 1], as well as for all r∈(0,1] at the same time, can be determined.
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References
Chanas, S. and Florkiewicz, B. (1988) ‘Deriving expected values from probabilities of fuzzy subsets’, Inst. Org. i Zarz. Politechniki Wr., Report No. 34 (submitted to European Journal of Operational Research).
Gass, S.J. (1969) Linear Programming — Methods and Applications, McGraw-Hill Book Company, New York.
Yager, R.R. (1986)‘Expected values from probabilities of fuzzy subsets’, European Journal of Operational Research 25, 336–344.
Zadeh, L.A. (1979) ‘Fuzzy sets and information granuality’, in M.M. Gupta, R.K., Ragade and R.R. Yager (eds),.Advance in Fuzzy Set Theory and Application, North-Holland Publ. Company, pp. 3–18
Zadeh, L.A. (1973) The Concept of a Linguistic Variable and its Application to Approximate Reasoning, American Elsvier Publ. Company, New York.
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© 1990 Kluwer Academic Publishers
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Chanas, S., Florkiewicz, B. (1990). Determining the Expected Value of a Variable on the Basis of Fuzzy Evidence. In: Janko, W.H., Roubens, M., Zimmermann, HJ. (eds) Progress in Fuzzy Sets and Systems. Theory and Decision Library, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2019-4_5
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DOI: https://doi.org/10.1007/978-94-009-2019-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7405-6
Online ISBN: 978-94-009-2019-4
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