Ranking Function to Solve a Fuzzy Multiple Objective Function

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Rasha Jalal Mitlif
Iden Hasan Hussein


In this paper two ranking functions are employed to treat the fuzzy multiple objective (FMO) programming model, then using two kinds of membership function, the first one is trapezoidal fuzzy (TF) ordinary membership function, the second one is trapezoidal fuzzy weighted membership function. When the objective function is fuzzy, then should transform and shrinkage the fuzzy model to traditional model, finally solving these models to know which one is better


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Mitlif RJ, Hussein IH. Ranking Function to Solve a Fuzzy Multiple Objective Function. Baghdad Sci.J [Internet]. [cited 2021Jan.25];18(1):0144. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3815


Bellman R E, Zadeh L A. Decision Making in Fuzzy Environment. Manage Sci. 1970; 17: B141-B164.

Zimmermann H J. Fuzzy programming and Linear Programming with Several Objective Functions. FUZZY SET SYST. 1987; 1: 45-55.

Maleki H R. Ranking Functions and their Applications to Fuzzy Linear Programming. FJMS. 2002; 4: 283-301.

Hussein I H, Dheyab A H. A New algorithm using ranking function to find solution for fuzzy transportation problem. IJMSS. 2015; 3(3): 21-26.

Nehi H M, Hajmohamadi H. A ranking function method for solving fuzzy multi-objective linear programming problem. AFMI. 2012; 3(1): 31-38.

Porcheivi RS, Vasanthi L. Solving A Multi Objective Fuzzy Variable Linear programming Problem. using Ranking Functions. IJSR. 2013; 2: 733-735.

Kiruthiga M, Loganathan C. Fuzzy Multi-Objective Linear Programming Problem Using Fuzzy Programming Model. IJSETR. 2015; 4: 2681-2686.

Mitlif R J. A New Method for Solving Fully Fuzzy Multi-Objective Linear Programming Problems. IJS. 2016; 57(3C): 2307-2311.

Hussein I H, Abood Z S. Solving Fuzzy Games Problems by Using Ranking Functions. Baghdad Sci J. 2018; 15(1): 98-101.

Ingle S M, Ghadle K P. Solving FFLPP Problem with Hexagonal Fuzzy Numbers by New Ranking Method. IJAER. 2019; 14(1): 97-101.

Gass I S. Linear Programming Methods and Applications. 5 th ed. St. Louis San Francisco. New York: Dover Publications. 2010.

Pradhan A, Biswal M P. Linear Programming Problems with some Multi- Choice Fuzzy Parameters. YUJOR. 2018; 2: 249-264.

Nasseri S H, Mahmoudi F. A New Approach to Solve Fully fuzzy Linear Programming Problem. JARIE. 2019; 6(2): 139-149.

Pramy F A. An Approach for Solving Fuzzy Multi-Objective Linear Fractional Programming Problems, IJMEMS. 2018; 3(3): 280-293.

Dinagar D S , Jeyavuthin M M . Fully Fuzzy Integer Linear Programming Problems Under Robust Ranking Techniques. IJMAA.2018; 6(3): 19–25.