On fully intuitionistic fuzzy linear fractional programming via novel parameterized membership functions with application in portfolio optimization.
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| Title: | On fully intuitionistic fuzzy linear fractional programming via novel parameterized membership functions with application in portfolio optimization. |
|---|---|
| Authors: | Chauhan, Abhishek1 (AUTHOR) sumatimahajan@pec.edu.in, Mahajan, Sumati1 (AUTHOR) sumatimahajan@pec.edu.in, Kaur, Shubhpreet1 (AUTHOR) |
| Source: | RAIRO: Operations Research (2804-7303). Mar/Apr2026, Vol. 60 Issue 2, p1179-1206. 28p. |
| Subjects: | Membership functions (Fuzzy logic), Fractional programming, Fuzzy algorithms, Multi-objective optimization, Portfolio management (Investments), Numerical calculations |
| Abstract: | Fractional programming is an extensively used technique to simultaneously deal with two conflicting objectives, by optimizing their ratio. This paper focuses on fully intuitionistic fuzzy fractional programming to address real-world problems. Firstly, the intuitionistic fuzzy model is converted into a crisp multi-objective problem with fractional objectives. Subsequently, a novel intuitionistic fuzzy programming approach is proposed, offering an insightful method for selecting least acceptable values. The existing literature on intuitionistic fuzzy programming employs linear, exponential, hyperbolic, or parabolic membership and non-membership functions. This article presents that these functions result in a highly restrictive feasibility region. Thus, a family of parameterized membership and non-membership functions is introduced, which overcomes the limitations of conventionally used functions and effectively captures both the acceptance as well as rejection degrees. In this article, theoretical foundations are established for the proposed technique through several theorems which have been constructed and proved. Additionally, the proposed technique is illustrated through a numerical example and applied to a real-life portfolio optimization problem, demonstrating its effectiveness. Finally, a comparative analysis with prevalent studies is also conducted to emphasize the versatile nature of the proposed functions. [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: 193984839 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On fully intuitionistic fuzzy linear fractional programming via novel parameterized membership functions with application in portfolio optimization. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Chauhan%2C+Abhishek%22">Chauhan, Abhishek</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sumatimahajan@pec.edu.in</i><br /><searchLink fieldCode="AR" term="%22Mahajan%2C+Sumati%22">Mahajan, Sumati</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sumatimahajan@pec.edu.in</i><br /><searchLink fieldCode="AR" term="%22Kaur%2C+Shubhpreet%22">Kaur, Shubhpreet</searchLink><relatesTo>1</relatesTo> (AUTHOR) – 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, p1179-1206. 28p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Membership+functions+%28Fuzzy+logic%29%22">Membership functions (Fuzzy logic)</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+programming%22">Fractional programming</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+algorithms%22">Fuzzy algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Multi-objective+optimization%22">Multi-objective optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Portfolio+management+%28Investments%29%22">Portfolio management (Investments)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+calculations%22">Numerical calculations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Fractional programming is an extensively used technique to simultaneously deal with two conflicting objectives, by optimizing their ratio. This paper focuses on fully intuitionistic fuzzy fractional programming to address real-world problems. Firstly, the intuitionistic fuzzy model is converted into a crisp multi-objective problem with fractional objectives. Subsequently, a novel intuitionistic fuzzy programming approach is proposed, offering an insightful method for selecting least acceptable values. The existing literature on intuitionistic fuzzy programming employs linear, exponential, hyperbolic, or parabolic membership and non-membership functions. This article presents that these functions result in a highly restrictive feasibility region. Thus, a family of parameterized membership and non-membership functions is introduced, which overcomes the limitations of conventionally used functions and effectively captures both the acceptance as well as rejection degrees. In this article, theoretical foundations are established for the proposed technique through several theorems which have been constructed and proved. Additionally, the proposed technique is illustrated through a numerical example and applied to a real-life portfolio optimization problem, demonstrating its effectiveness. Finally, a comparative analysis with prevalent studies is also conducted to emphasize the versatile nature of the proposed functions. [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/2026017 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 28 StartPage: 1179 Subjects: – SubjectFull: Membership functions (Fuzzy logic) Type: general – SubjectFull: Fractional programming Type: general – SubjectFull: Fuzzy algorithms Type: general – SubjectFull: Multi-objective optimization Type: general – SubjectFull: Portfolio management (Investments) Type: general – SubjectFull: Numerical calculations Type: general Titles: – TitleFull: On fully intuitionistic fuzzy linear fractional programming via novel parameterized membership functions with application in portfolio optimization. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Chauhan, Abhishek – PersonEntity: Name: NameFull: Mahajan, Sumati – PersonEntity: Name: NameFull: Kaur, Shubhpreet 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 |
| ResultId | 1 |
