Symmetric fuzzy approach to solve complementary multi-objective linear fractional programming problem

Nawkhass, Maher A.; Sulaiman, Nejmaddin A.

doi:10.22075/ijnaa.2022.25842.3138

Symmetric fuzzy approach to solve complementary multi-objective linear fractional programming problem

Document Type : Research Paper

Authors

Maher A. Nawkhass

Nejmaddin A. Sulaiman

Department of Mathematics, Collage of Education, Salahaddin University-Erbil, Iraq

10.22075/ijnaa.2022.25842.3138

Abstract

In this paper, the property of fuzzy sets is used as approach to instrument for the construction and finding the value of “multi-objective linear fractional programming problem” (MOLFPP) and applied complementarity condition on such problems which is one of regulation of order problems which cover by fuzzy dealings. Introduce a technique to convert and solve the problem by symmetric fuzzy approach. Suggest an algorithm and show how fuzzy LFPP can be answered without rising the Arithmetic potency. Our technique is used to convert complementarity multi-objective linear fractional programming problem (CMOLFPP) to LP through symmetric fuzzy linear fractional problem (SFLFP). To demonstrate the efficacy of the suggested technique, a numerical example is presented. then compared the result with other techniques fuzzy linear fractional programming (FLFP) which are solved by using computer applications to test the algorithm of the above method to indicate that the results obtained by such approach are promising.

Keywords

Symmetric Fuzzy

Fuzzy Mathematical Programming

CMOLFPP

Complementary Condition

FLFP