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Journal of Information and Optimization Sciences

(Since 1980)
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

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Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

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Journal of Information and Optimization Sciences
Open Access Research Article

New algorithms for solving fuzzy linear fractional programming problems by ranking functions

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pp. 1671–1677Vol. 46Issue 5July 2025DOI: 10.47974/JIOS-1936XML
Received:
09 Oct 2024
Published Online:
08 Jul 2025
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1936
Pages:
1671–1677

Abstract

The problem of fully fuzzy programming was one of the problems that many treatments have appeared for due to ambiguity and inaccuracy of its ambiguous coefficients. In this study, finding the optimal numerical solution for fully fuzzy linear fractional programming problems (FFLFPP) using the ranking functions was obtained. The proposed pentagonal ranking function (PPRF) multiplied by γ5  has been derived, as well as the proposed heptagonal ranking function (PHRF) multiplied by γ5 has been derived too. Two laws were obtained the first one was the novel ranking membership pentagonal and the second one was the heptagonal function then utilized to solve FFLFPP after converting the problems into FFLPP by utilizing the complementary method, then converting them to crisp linear programming problems and finding the optimal numerical solution for problems by using the proposed ranking functions. The paper included numerical example to illustrate the applied technique and the accuracy of the solution, and a comparison with available techniques were add the novelty of this study.

Keywords

Fractional linear programming (FLP)Fuzzy numbers (FN)Heptagonal ranking functions (HRF)Pentagonal ranking function (PRF)

Subject Classifications

Primary 93A30Secondary 49K15

References

[1] M. A. Mehdi, M. E. Chergui, and M. Abbas, “An improved method for solving multiobjective integer linear fractional programming problem,” Advances in Decision Sciences, pp. 1–7 (2014).
[2] D. Biptiranjan, “Alternative methodology for epistemic uncertainty basic linear programming problem,” Springer-Verlag Germany, part of Springer Nature, vol. 27, pp. 15111–15121 (2023).
[3] S. K. Das and T. Mandal, “A MOLFP method for solving linear fractional programming under fuzzy environment,” International Journal of Research in Industrial Engineering (IJRIE), vol. 6, no. 3, pp. 202–213 (2017).
[4] S. K. Das and S. A. Edalatpanah, “A general form of fuzzy linear fractional programs with trapezoidal fuzzy numbers,” International Journal of Data Envelopment Analysis (IJDEA), vol. 2, no. 1, pp. 16–19 (2016).
[5] I. H. Hasan and I. H. Al Kanani, “Employing novel ranking function for solving fully fuzzy fractional linear programming problems,” Baghdad Science Journal (BSJ), vol. 21, no. 7, pp. 2395–2395 (2024).
[6] R. J. Mitlif, “Ranking function application for optimal solution of fractional programming problem,” Al-Qadisiyah Journal of Pure Science, vol. 25, no. 1, pp. 27–35 (2020).
[7] D. Sahoo and A. K. J. K. Pati, “Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number,” Results in Control and Optimization, no. 6 (2022).
[8] V. G. Vandana, R. Namrata, and D. G. Deshmukh, “An algorithm for quadratically constrained multi-objective quadratic fractional programming with pentagonal fuzzy numbers,” Operations Research and Decisions (2022).
[9] A. S. Majeed, “Solving linear fractional programming problem in symmetric trapezoidal fuzzy environment,” Journal of University of Garmian, vol. 6, no. 3, pp. 368–374 (2019).
[10] S. Kumar-Das, “A new method for solving fuzzy linear fractional programming problem with new ranking function,” International Journal of Research in Industrial Engineering, vol. 8, no. 4, pp. 384–393 (2019).
[11] F. Sadiq, N. Mayada, and I. R. Sabri, “Optimization of travel and tourism companies assignment model based on travel cost,” AIP Conference Proceedings, vol. 2839, no. 1, AIP Publishing (2023).
[12] E. H. Ouda, S. H. Khazaal, and J. Abbas, “An application of cooperative game theory in oil refining sites: Case study of Dora refinery in Iraq,” in Springer Nature Switzerland, Cham, pp. 592–599 (2023).
[13] A. M. Hamiden and S. R. Atiqe, “An application of pentagonal neutrosophic linear programming for stock portfolio optimization,” Neutrosophic Set and Systems, no. 51 (2022).
[14] A. Siripurapu and R. S. Nowpada, “A new ranking heptagonal fuzzy number and its application in project scheduling,” Reliability: Theory & Applications (RT&A), vol. 17, no. 2 (2022).
[15] D. S. Dinagar and M. M. Jeyavuthin, “Distinct methods for solving fully fuzzy linear programming problems with pentagonal fuzzy numbers,” Journal of Computer and Mathematical Sciences, vol. 10, no. 6, pp. 1253–1260 (2019).
[16] H. Anfal and H. Iden, “A new algorithm using function to find solution for fuzzy transportation problem,” International Journal of Mathematics and Statistics Studies, vol. 3, no. 3, pp. 21–26 (2015).

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