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Efficiency of MOMA-plus Method to Solve Some Fully Fuzzy L-R Triangular Multiobjective Linear Programs

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Listed:
  • Abdoulaye Compaor¨¦
  • Kounhinir Som¨¦
  • Joseph Poda
  • Blaise Som¨¦

Abstract

In this paper, we propose a novel approach for solving some fully fuzzy L-R triangular multiobjective linear optimization programs using MOMA-plus method (Kounhinir, 2017). This approach is composed of two relevant steps such as the converting of the fully fuzzy L-R triangular multiobjective linear optimization problem into a deterministic multiobjective linear optimization and the applying of the adapting MOMA-plus method. The initial version of MOMA-plus method is designed for multiobjective deterministic optimization (Kounhinir, 2017) and having already been tested on the single-objective fuzzy programs (Abdoulaye, 2017). Our new method allow to find all of the Pareto optimal solutions of a fully fuzzy L-R triangular multiobjective linear optimization problems obtained after conversion. For highlighting the efficiency of our approach a didactic numerical example is dealt with and obtained solutions are compared to Total Objective Segregation Method proposed by Jayalakslmi and Pandia (Jayalakslmi 2014).

Suggested Citation

  • Abdoulaye Compaor¨¦ & Kounhinir Som¨¦ & Joseph Poda & Blaise Som¨¦, 2018. "Efficiency of MOMA-plus Method to Solve Some Fully Fuzzy L-R Triangular Multiobjective Linear Programs," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(2), pages 77-87, April.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:2:p:77
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    References listed on IDEAS

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    2. S. H. Nasseri & E. Behmanesh, 2013. "Linear programming with triangular fuzzy numbers—A case study in a finance and credit institute," Fuzzy Information and Engineering, Springer, vol. 5(3), pages 295-315, September.
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    More about this item

    Keywords

    Fuzzy triangular numbers; fuzzy linear programming; MOMA-plus method;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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