A fuzzy mathematical model to solve multi-objective trapezoidal fuzzy fractional programming problems
Sujit Maharana () and
Suvasis Nayak ()
Additional contact information
Sujit Maharana: KIIT Deemed to be University
Suvasis Nayak: KIIT Deemed to be University
International Journal of System Assurance Engineering and Management, 2024, vol. 15, issue 6, No 59, 2757-2771
Abstract:
Abstract Decision making problems with ambiguous data often arise in numerous practical fields which can be formulated as optimization models in fuzzy environment. This paper develops a new mathematical model using a proposed methodology to efficiently solve a multi-objective linear fuzzy fractional programming problem in trapezoidal fuzzy environment and generate a set of nondominated solutions. The concept of fuzzy cuts with different degrees of satisfaction is implemented which transforms the fuzzy optimization into an equivalent interval valued optimization. Subsequently, interval valued linear functions approximate the fuzzy valued fractional functions based on Taylor’s series expansion. Finally, a proposed concept using weighting sum approach with varying weight vectors is utilized to design a mathematical model which generates the set of nondominated solutions. Two numerical examples including an existing problem and an additional practical problem in the field of production, are solved for the illustration of the proposed model. The results of the numerical problems are comparatively discussed with graphical analysis to justify the feasibility and applicability of the proposed model.
Keywords: Fractional programming; Multi-objective optimization; Trapezoidal fuzzy numbers; Interval valued functions; Fuzzy cuts; 90C30; 90C32; 90C70 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:
Downloads: (external link)
http://link.springer.com/10.1007/s13198-024-02298-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:spr:ijsaem:v:15:y:2024:i:6:d:10.1007_s13198-024-02298-8
Ordering information: This journal article can be ordered from
http://www.springer.com/engineering/journal/13198
DOI: 10.1007/s13198-024-02298-8
Access Statistics for this article
International Journal of System Assurance Engineering and Management is currently edited by P.K. Kapur, A.K. Verma and U. Kumar
More articles in International Journal of System Assurance Engineering and Management from Springer, The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().