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A Fuzzy Problem of Multiparametric Choice of Optimal Solutions

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Abstract

The problem of optimal choice of a set of parameters is considered in fuzzy formulation. The so-called S-functions (or bell-shaped functions) are used for interpretation of fuzziness. A method of defuzzification of linguistic variables is proposed. Some results on stability are given.

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REFERENCES

  1. I. V. Sergienko, Mathematical Models and Methods of Solution of Discrete Optimization Problems [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

  2. I. N. Parasyuk and I. V. Sergienko, Software Packages for Data Analysis: Development Technology [in Russian], Finansy i Statistika, Moscow (1988).

    Google Scholar 

  3. G. S. Pospelov (<nt>ed</nt>), Fuzzy Sets in Models of Control and Artificial Intelligence [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  4. L. A. Zadeh, The Concept of a Linguistic Variable and Its Application to Approximate Reasoning [Russian translation], Mir, Moscow (1976).

    Google Scholar 

  5. L. A. Zadeh, “Fuzzy sets as a basis for a theory of possibility,” Fuzzy Sets and Systems, 1, 3-28 (1978).

    Google Scholar 

  6. M. Mizumoto and K. Tanaka, “Algebraic properties of fussy numbers,” in: Proc. IEEE Int. Conf. Cybernetics and Society, (1976), pp. 559-563.

  7. R. R. Yager, Fuzzy Set and Possibility Theory [Russian translation], Radio i Svyaz, Moscow (1986).

    Google Scholar 

  8. I. S. Berezin and N. P. Zhidkov, Computing Methods [in Russian], Vol. 1, Gos. Izd. Fiz.-Mat. Lit., Moscow (1959).

    Google Scholar 

  9. I. V. Sergienko and M. F. Kaspshitskaya, Models and Methods of Solution of Combinatorial Optimization Problems on Computers [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  10. A. N. Alekseyev, G. V. Merkur'yeva, et al., Processing of Fuzzy Information in Decision-Making Systems [in Russian], Radio i Svyaz, Moscow (1989).

    Google Scholar 

  11. L. F. Vasilevich, “Sensitivity and stability analysis of fuzzy systems,” Kibern. Sist. Anal., No. 1, 166-172 (1998).

    Google Scholar 

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Authors and Affiliations

  1. National Academy of Sciences of Ukraine, Cybernetics Institute, Kiev, Ukraine

    I. V. Sergienko, I. N. Parasyuk & M. F. Kaspshitskaya

Authors
  1. I. V. Sergienko
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  2. I. N. Parasyuk
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  3. M. F. Kaspshitskaya
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Sergienko, I.V., Parasyuk, I.N. & Kaspshitskaya, M.F. A Fuzzy Problem of Multiparametric Choice of Optimal Solutions. Cybernetics and Systems Analysis 39, 163–173 (2003). https://doi.org/10.1023/A:1024731004624

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