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

^*Šī darba korespondējošais autors

University of Latvia

Zinātniskās darbības rezultāts: Nodaļa grāmatā/enciklopēdijā/konferences krājumā › Konferences zinātniskais raksts › Pētniecība › koleģiāli recenzēts

3 Atsauces (Scopus)

Kopsavilkums

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.

Oriģinālvaloda	Angļu
Publikācijas avota nosaukums	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
Redaktori	Sebastia Massanet, Daniel Ruiz-Aguilera, Manuel González-Hidalgo, Susana Montes
Izdevējs	Springer Science and Business Media Deutschland GmbH
Lapas	112-123
Lapu skaits	12
ISBN (Drukātā versija)	9783031399640
DOIs	https://doi.org/10.1007/978-3-031-39965-7_10
Publikācijas statuss	Publicēts - 2023
Ārēji publicēts	Jā
Pasākums	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, Spānija Ilgums: 4 sept. 2023 → 8 sept. 2023

Publikāciju sērijas

Nosaukums	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Sējums	14069 LNCS
ISSN (Drukātā versija)	0302-9743
ISSN (Elektroniskā versija)	1611-3349

Konference

Konference	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
Valsts/Teritorija	Spānija
Pilsēta	Palma de Mallorca
Periods	4/09/23 → 8/09/23

Piekļuve Dokumentiem

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

Citi faili un saites

Saite uz publikāciju Scopus

Citēt šo

Grigorenko, O., & Zemlītis, M. (2023). Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem. (gadā) S. Massanet, D. Ruiz-Aguilera, M. González-Hidalgo, & S. Montes (Red.), 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 (lpp. 112-123). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Sēj. 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. redaktors / Sebastia Massanet ; Daniel Ruiz-Aguilera ; Manuel González-Hidalgo ; Susana Montes. Springer Science and Business Media Deutschland GmbH, 2023. lpp. 112-123 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem",

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.",

keywords = "Aggregation, Fuzzy equivalence relation, Multiple objective linear programming",

author = "Olga Grigorenko and Mārtiņ{\v s} Zemlītis",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 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 ; Conference date: 04-09-2023 Through 08-09-2023",

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doi = "10.1007/978-3-031-39965-7\_10",

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Grigorenko, O & Zemlītis, M 2023, Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem. (kur) S Massanet, D Ruiz-Aguilera, M González-Hidalgo & S Montes (red.), 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), sēj. 14069 LNCS, Springer Science and Business Media Deutschland GmbH, lpp. 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, Spānija, 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. red. / Sebastia Massanet; Daniel Ruiz-Aguilera; Manuel González-Hidalgo; Susana Montes. Springer Science and Business Media Deutschland GmbH, 2023. lpp. 112-123 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Sēj. 14069 LNCS).

Zinātniskās darbības rezultāts: Nodaļa grāmatā/enciklopēdijā/konferences krājumā › Konferences zinātniskais raksts › Pētniecība › koleģiāli recenzēts

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KW - Fuzzy equivalence relation

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

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Grigorenko O, Zemlītis M. Fuzzy Equivalence Relations for Solving a Multiple Objective Linear Programming Problem. (gadā) Massanet S, Ruiz-Aguilera D, González-Hidalgo M, Montes S, redaktori, 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. lpp. 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