Ranking Fuzzy Numbers by Geometric Average Method and its Application to Fuzzy Linear Fractional Programming Problems.

Section: Research Paper
Issue
Vol. 20 No. 1 (2023): Volume 20 Issue 1
Published
Jun 25, 2025
Pages
69-75

Abstract

In this paper, we consider a fuzzy linear fractional programming (FLFP) problem under the condition that the objective function is represented by triangular and trapezoidal fuzzy numbers, while the values of the right-hand side and left-hand side constraints are represented by real numbers. And defined a new ranking function for convert fuzzy linear fractional programming problem into crisp linear fractional programming problem. This proposed approach is based on a crisp linear programming and has a simple structure. Comparing the proposed method to the exiting methods for solving FLFP problems we see it is simple to apply and acceptable. Finally, numerical illustrations are used to demonstrate the suggested methods.

References

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Authors

Rebar Yahya abdullah

Community health Nursing deo.college of Nursing.University of duhok.Duhok

ORCID
Nasyar Hussein Qader

Ministry of Education, General Director of Education in Garmian, Training and Educational Development Institute, Iraq.

ORCID
Ayad Ramadan

Department. of Mathematics ,College Of Science, University of Sulaimani,Sulaimani,Iraq.

ORCID
Goran H Kareem

Sulaimani University, College of Education, Mathematics Department, Kurdistan Region, Iraq.

ORCID

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How to Cite

Yahya abdullah, R., شیماء, Hussein Qader, N., ناسیار, Ramadan, A., طوَران, & H Kareem, G. (2025). Ranking Fuzzy Numbers by Geometric Average Method and its Application to Fuzzy Linear Fractional Programming Problems. IRAQI JOURNAL OF STATISTICAL SCIENCES, 20(1), 69–75. Retrieved from https://rjps.uomosul.edu.iq/index.php/stats/article/view/20786