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Multicriteria Decision-Making Problems Under Uncertainty and Their Solution

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Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1075))

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Abstract

The problem of multi-criteria non-linear programing (MCNP) under fuzzy conditions is considered and analyzed. For its solution the concepts of Pareto-optimal solutions and best compromise solution of α-level are formulated. The theorems establishing the interconnections between these solutions are stated and proved. The method of finding best compromise solutions of α-level of MCNP problems is suggested. The example of application of the suggested method for MCLP problem with fuzzy parameters is presented.

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References

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Author information

Authors and Affiliations

  1. Igor Sikorsky Kyiv Polytechnic Institute, Kyiv, Ukraine

    Yuriy Zaychenko & Helen Zaichenko

Authors
  1. Yuriy Zaychenko
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  2. Helen Zaichenko
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Corresponding author

Correspondence to Yuriy Zaychenko .

Editor information

Editors and Affiliations

  1. The University of Aizu, Aizuwakamatsu, Japan

    Yong Liu

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore

    Lipo Wang

  3. Computer Science and Mathematics, University of Sao Paulo, Ribeirao Preto, Brazil

    Liang Zhao

  4. School of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, China

    Zhengtao Yu

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Zaychenko, Y., Zaichenko, H. (2020). Multicriteria Decision-Making Problems Under Uncertainty and Their Solution. In: Liu, Y., Wang, L., Zhao, L., Yu, Z. (eds) Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. ICNC-FSKD 2019. Advances in Intelligent Systems and Computing, vol 1075. Springer, Cham. https://doi.org/10.1007/978-3-030-32591-6_111

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