Generating compromise solution of bi-level multi-objective intuitionistic fuzzy fractional programming problem.
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| Title: | Generating compromise solution of bi-level multi-objective intuitionistic fuzzy fractional programming problem. |
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| Authors: | Maharana, Sujit1 (AUTHOR) suvasis.nayakfma@kiit.ac.in, Nayak, Suvasis1 (AUTHOR) suvasis.nayakfma@kiit.ac.in |
| Source: | RAIRO: Operations Research (2804-7303). Mar/Apr2026, Vol. 60 Issue 2, p877-905. 29p. |
| Subjects: | Bilevel programming, Fractional programming, Problem solving, Goal programming, Multi-objective optimization, Mathematical analysis, Decision making, Fuzzy sets |
| Abstract: | The real world optimization problems in hierarchical decision making systems, often encounter multiple functions in fractional forms with uncertain parameters. To tackle such situation of uncertainty, this paper proposes a novel methodology to find a compromise solution of a bi-level multi-objective linear fractional programming problem which is designed in a fuzzy environment with its parameters expressed as intuitionistic triangular fuzzy numbers. Based on the concept of intuitionistic fuzzy (α, β)-cuts and some theoretical aspects, the bi-level intuitionistic fuzzy model is formulated into an equivalent bi-level optimization with multiple interval valued fractional functions. The method proposed by Chakraborty and Gupta, is utilized to compute the individual compromise solution of each interval valued fractional objective function. Subsequently, the upper and lower level compromise solutions are computed to ascertain the aspiration values of the multiple interval valued fractional functions and the decision variables controlled at the upper level. Goal programming approach using a proposed modified linearization technique for fractional functions, is implemented to derive the compromise solution of the bi-level fuzzy optimization model. An existing numerical example, a practical problem in production sector are solved and the comparative discussion on result analysis is incorporated to demonstrate the feasibility and efficiency of the proposed approach. [ABSTRACT FROM AUTHOR] |
| Copyright of RAIRO: Operations Research (2804-7303) is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193984853 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Generating compromise solution of bi-level multi-objective intuitionistic fuzzy fractional programming problem. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Maharana%2C+Sujit%22">Maharana, Sujit</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> suvasis.nayakfma@kiit.ac.in</i><br /><searchLink fieldCode="AR" term="%22Nayak%2C+Suvasis%22">Nayak, Suvasis</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> suvasis.nayakfma@kiit.ac.in</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22RAIRO%3A+Operations+Research+%282804-7303%29%22">RAIRO: Operations Research (2804-7303)</searchLink>. Mar/Apr2026, Vol. 60 Issue 2, p877-905. 29p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Bilevel+programming%22">Bilevel programming</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+programming%22">Fractional programming</searchLink><br /><searchLink fieldCode="DE" term="%22Problem+solving%22">Problem solving</searchLink><br /><searchLink fieldCode="DE" term="%22Goal+programming%22">Goal programming</searchLink><br /><searchLink fieldCode="DE" term="%22Multi-objective+optimization%22">Multi-objective optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Decision+making%22">Decision making</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The real world optimization problems in hierarchical decision making systems, often encounter multiple functions in fractional forms with uncertain parameters. To tackle such situation of uncertainty, this paper proposes a novel methodology to find a compromise solution of a bi-level multi-objective linear fractional programming problem which is designed in a fuzzy environment with its parameters expressed as intuitionistic triangular fuzzy numbers. Based on the concept of intuitionistic fuzzy (α, β)-cuts and some theoretical aspects, the bi-level intuitionistic fuzzy model is formulated into an equivalent bi-level optimization with multiple interval valued fractional functions. The method proposed by Chakraborty and Gupta, is utilized to compute the individual compromise solution of each interval valued fractional objective function. Subsequently, the upper and lower level compromise solutions are computed to ascertain the aspiration values of the multiple interval valued fractional functions and the decision variables controlled at the upper level. Goal programming approach using a proposed modified linearization technique for fractional functions, is implemented to derive the compromise solution of the bi-level fuzzy optimization model. An existing numerical example, a practical problem in production sector are solved and the comparative discussion on result analysis is incorporated to demonstrate the feasibility and efficiency of the proposed approach. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of RAIRO: Operations Research (2804-7303) is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1051/ro/2026024 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 29 StartPage: 877 Subjects: – SubjectFull: Bilevel programming Type: general – SubjectFull: Fractional programming Type: general – SubjectFull: Problem solving Type: general – SubjectFull: Goal programming Type: general – SubjectFull: Multi-objective optimization Type: general – SubjectFull: Mathematical analysis Type: general – SubjectFull: Decision making Type: general – SubjectFull: Fuzzy sets Type: general Titles: – TitleFull: Generating compromise solution of bi-level multi-objective intuitionistic fuzzy fractional programming problem. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Maharana, Sujit – PersonEntity: Name: NameFull: Nayak, Suvasis IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar/Apr2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 28047303 Numbering: – Type: volume Value: 60 – Type: issue Value: 2 Titles: – TitleFull: RAIRO: Operations Research (2804-7303) Type: main |
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