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Sum-fuzzy implementation of a choice function using artificial learning procedure with fixed fraction

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Abstract

In one if his paper Luo transformed the problem of sum-fuzzy rationality into artificial learning procedure and gave an algorithm which used the learning rule of perception. This paper extends the Luo method for finding a sum-fuzzy implementation of a choice function and offers an algorithm based on the artificial learning procedure with fixed fraction. We also present a concrete example which uses this algorithm.

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References

  1. A. Banerjee: Rational choice under fuzzy preferences: the Orlovsky choice function. Fuzzy Sets Syst. 79 (1996), 407.

    Article  MATH  Google Scholar 

  2. C. R. Barret, P. K. Pattanaik, and M. Salles: On choosing rationally when preferences are fuzzy. Fuzzy Sets Syst. 34 (1990), 197–212.

    Article  Google Scholar 

  3. D. Dumitrescu: Mathematical Principles of Classification Theory. Academic Press, Bucuresti, 1999.

    Google Scholar 

  4. X. Luo, M. Li, and Z. Lei: Fuzzy rational choice. In: Fuzzy Engineering Toward Friendly Systems. Ohmsha Ltd., Japan, 1991.

    Google Scholar 

  5. X. Luo: A new approach to sum-fuzzy rational choice functions. Fuzzy Sets Syst. 127 (2002), 241–246.

    Article  MATH  Google Scholar 

  6. S. A. Orlovsky: Decision-making with a fuzzy preference relation. Fuzzy Sets Syst. 1 (1978), 155–167.

    Article  MATH  Google Scholar 

  7. Preferences, Utility, and Demand (M. K. Richter, H.F. Sonnenchein, eds.). Harcourt Brace Jovanovich, New York, 1971.

    MATH  Google Scholar 

  8. Z. Switalski: A note an fuzzy rational choice function. Fuzzy Sets Syst. 3 (1990), 341–343.

    Article  Google Scholar 

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Constantinescu, A. Sum-fuzzy implementation of a choice function using artificial learning procedure with fixed fraction. Appl Math 52, 321–326 (2007). https://doi.org/10.1007/s10492-007-0017-2

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  • DOI: https://doi.org/10.1007/s10492-007-0017-2

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