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Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem

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Fuzzy Logic and Technology, and Aggregation Operators (EUSFLAT 2023, AGOP 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14069))

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Abstract

We are developing an approach that is an alternative to the Zimmermann approach to solving a multiple objective linear programming problem. We use fuzzy equivalence relations to solve the problem, where fuzzy sets are used in the Zimmermann approach. We will prove the effectiveness of the new approach, illustrate and compare the use of different approaches with illustrative examples.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, 1459, Latvia

    Olga Grigorenko & Mārtiņš Zemlītis

Authors
  1. Olga Grigorenko
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  2. Mārtiņš Zemlītis
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Corresponding author

Correspondence to Olga Grigorenko .

Editor information

Editors and Affiliations

  1. University of the Balearic Islands, Palma, Spain

    Sebastia Massanet

  2. University of Oviedo, Gijón, Spain

    Susana Montes

  3. University of the Balearic Islands, Palma, Spain

    Daniel Ruiz-Aguilera

  4. University of the Balearic Islands, Palma, Spain

    Manuel González-Hidalgo

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© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Grigorenko, O., Zemlītis, M. (2023). Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem. In: Massanet, S., Montes, S., Ruiz-Aguilera, D., González-Hidalgo, M. (eds) Fuzzy Logic and Technology, and Aggregation Operators. EUSFLAT AGOP 2023 2023. Lecture Notes in Computer Science, vol 14069. Springer, Cham. https://doi.org/10.1007/978-3-031-39965-7_10

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  • DOI: https://doi.org/10.1007/978-3-031-39965-7_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-39964-0

  • Online ISBN: 978-3-031-39965-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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