Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem

Olga Grigorenko; Mārtiņš Zemlītis

doi:10.1007/978-3-031-39965-7_10

Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem

Olga Grigorenko^*
, Mārtiņš Zemlītis

^*Corresponding author for this work

University of Latvia

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

3 Citations (Scopus)

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.

Original language	English
Title of host publication	Fuzzy Logic and Technology, and Aggregation Operators - 13th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2023, and 12th International Summer School on Aggregation Operators, AGOP 2023, Proceedings
Editors	Sebastia Massanet, Daniel Ruiz-Aguilera, Manuel González-Hidalgo, Susana Montes
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	112-123
Number of pages	12
ISBN (Print)	9783031399640
DOIs	https://doi.org/10.1007/978-3-031-39965-7_10
Publication status	Published - 2023
Externally published	Yes
Event	Fuzzy Logic and Technology, and Aggregation Operators 13th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2023, and 12th International Summer School on Aggregation Operators, AGOP 2023 - Palma de Mallorca, Spain Duration: 4 Sept 2023 → 8 Sept 2023

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	14069 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	Fuzzy Logic and Technology, and Aggregation Operators 13th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2023, and 12th International Summer School on Aggregation Operators, AGOP 2023
Country/Territory	Spain
City	Palma de Mallorca
Period	4/09/23 → 8/09/23

Keywords

Aggregation
Fuzzy equivalence relation
Multiple objective linear programming

Access to Document

10.1007/978-3-031-39965-7_10

Cite this

Grigorenko, O., & Zemlītis, M. (2023). Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem. In S. Massanet, D. Ruiz-Aguilera, M. González-Hidalgo, & S. Montes (Eds.), Fuzzy Logic and Technology, and Aggregation Operators - 13th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2023, and 12th International Summer School on Aggregation Operators, AGOP 2023, Proceedings (pp. 112-123). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14069 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-39965-7_10

Grigorenko, Olga ; Zemlītis, Mārtiņš. / Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem. Fuzzy Logic and Technology, and Aggregation Operators - 13th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2023, and 12th International Summer School on Aggregation Operators, AGOP 2023, Proceedings. editor / Sebastia Massanet ; Daniel Ruiz-Aguilera ; Manuel González-Hidalgo ; Susana Montes. Springer Science and Business Media Deutschland GmbH, 2023. pp. 112-123 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Grigorenko, O & Zemlītis, M 2023, Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem. in S Massanet, D Ruiz-Aguilera, M González-Hidalgo & S Montes (eds), Fuzzy Logic and Technology, and Aggregation Operators - 13th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2023, and 12th International Summer School on Aggregation Operators, AGOP 2023, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 14069 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 112-123, Fuzzy Logic and Technology, and Aggregation Operators 13th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2023, and 12th International Summer School on Aggregation Operators, AGOP 2023, Palma de Mallorca, Spain, 4/09/23. https://doi.org/10.1007/978-3-031-39965-7_10

Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem. / Grigorenko, Olga; Zemlītis, Mārtiņš.
Fuzzy Logic and Technology, and Aggregation Operators - 13th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2023, and 12th International Summer School on Aggregation Operators, AGOP 2023, Proceedings. ed. / Sebastia Massanet; Daniel Ruiz-Aguilera; Manuel González-Hidalgo; Susana Montes. Springer Science and Business Media Deutschland GmbH, 2023. p. 112-123 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14069 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

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Grigorenko O, Zemlītis M. Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem. In Massanet S, Ruiz-Aguilera D, González-Hidalgo M, Montes S, editors, Fuzzy Logic and Technology, and Aggregation Operators - 13th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2023, and 12th International Summer School on Aggregation Operators, AGOP 2023, Proceedings. Springer Science and Business Media Deutschland GmbH. 2023. p. 112-123. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-39965-7_10