Academic Journal
Fuzzy Two-Stage Continuous–Discrete Optimal Set Partitioning Problem. I. Theoretical Foundations.
| Τίτλος: | Fuzzy Two-Stage Continuous–Discrete Optimal Set Partitioning Problem. I. Theoretical Foundations. |
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| Συγγραφείς: | Kiseleva, E.1 (AUTHOR) kiseleva47@ukr.net, Prytomanova, O.2 (AUTHOR) prytomanova.olga@kneu.edu.ua, Lebediev, D.1 (AUTHOR) mstr.danila@gmail.com |
| Πηγή: | Cybernetics & Systems Analysis. Jul2026, Vol. 62 Issue 4, p600-611. 12p. |
| Θεματικοί όροι: | *Fuzzy sets, *Transportation problems (Programming), *Mixed integer linear programming, *Mathematical optimization |
| Περίληψη: | We formulate a fuzzy two-stage continuous–discrete optimal set partitioning problem, which generalizes, on the one hand, the classical finite-dimensional transportation problem to the case where production volumes at given locations are unknown in advance and are determined as the solution to the corresponding fuzzy continuous problem of optimal partitioning of a set of consumers (suppliers of a continuously distributed resource) into fuzzy subsets (the service areas of these points), and, on the other hand, discrete two-stage production–transportation problems for the case of a continuously distributed resource. Theorems regarding the conditions for the existence and form of the optimal solution to the formulated problem are proved. A method for solving it is developed based on the synthesis of the theory of optimal set partitioning and fuzzy set theory. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://dx.doi.org/doi:10.1007/s10559-026-00895-y Name: EDS - Springer Nature Journals (s7799221) Category: fullText Text: View record at Springer – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:asx&genre=article&issn=10600396&ISBN=&volume=62&issue=4&date=20260701&spage=600&pages=600-611&title=Cybernetics & Systems Analysis&atitle=Fuzzy%20Two-Stage%20Continuous%E2%80%93Discrete%20Optimal%20Set%20Partitioning%20Problem.%20I.%20Theoretical%20Foundations.&aulast=Kiseleva%2C%20E.&id=DOI:10.1007/s10559-026-00895-y Name: Full Text Finder (for New FTF UI) (ns324271) Category: fullText Text: Full Text Finder MouseOverText: Full Text Finder |
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| Items | – Name: Title Label: Title Group: Ti Data: Fuzzy Two-Stage Continuous–Discrete Optimal Set Partitioning Problem. I. Theoretical Foundations. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kiseleva%2C+E%2E%22">Kiseleva, E.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kiseleva47@ukr.net</i><br /><searchLink fieldCode="AR" term="%22Prytomanova%2C+O%2E%22">Prytomanova, O.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> prytomanova.olga@kneu.edu.ua</i><br /><searchLink fieldCode="AR" term="%22Lebediev%2C+D%2E%22">Lebediev, D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mstr.danila@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Cybernetics+%26+Systems+Analysis%22">Cybernetics & Systems Analysis</searchLink>. Jul2026, Vol. 62 Issue 4, p600-611. 12p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink><br />*<searchLink fieldCode="DE" term="%22Transportation+problems+%28Programming%29%22">Transportation problems (Programming)</searchLink><br />*<searchLink fieldCode="DE" term="%22Mixed+integer+linear+programming%22">Mixed integer linear programming</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We formulate a fuzzy two-stage continuous–discrete optimal set partitioning problem, which generalizes, on the one hand, the classical finite-dimensional transportation problem to the case where production volumes at given locations are unknown in advance and are determined as the solution to the corresponding fuzzy continuous problem of optimal partitioning of a set of consumers (suppliers of a continuously distributed resource) into fuzzy subsets (the service areas of these points), and, on the other hand, discrete two-stage production–transportation problems for the case of a continuously distributed resource. Theorems regarding the conditions for the existence and form of the optimal solution to the formulated problem are proved. A method for solving it is developed based on the synthesis of the theory of optimal set partitioning and fuzzy set theory. [ABSTRACT FROM AUTHOR] |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asx&AN=195994021 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10559-026-00895-y Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 600 Subjects: – SubjectFull: Fuzzy sets Type: general – SubjectFull: Transportation problems (Programming) Type: general – SubjectFull: Mixed integer linear programming Type: general – SubjectFull: Mathematical optimization Type: general Titles: – TitleFull: Fuzzy Two-Stage Continuous–Discrete Optimal Set Partitioning Problem. I. Theoretical Foundations. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kiseleva, E. – PersonEntity: Name: NameFull: Prytomanova, O. – PersonEntity: Name: NameFull: Lebediev, D. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 10600396 Numbering: – Type: volume Value: 62 – Type: issue Value: 4 Titles: – TitleFull: Cybernetics & Systems Analysis Type: main |
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