Solving fuzzy multi objective linear programming problems: an α-cut approach

In this paper, as an extension of Pareto optimality concepts for multi objective programming problems to fuzzy multi objective linear programming (FMOLP) problems, different types of Pareto optimal solutions (POSs), namely, weakly, strictly, and properly POSs are defined on the basis of α-cuts of fuzzy numbers.Then a method for solving FMOLP problems is proposed to obtain them. It is shown that they can be obtained by solving some non fuzzy multi objective linear programming problems. A numericalexample is solved to illustrate the method.

Keywords:

Multi objective linear programming , Fuzzy number , Properly α-Pareto optimal solution , Weakly α-Pareto optimal solutionو Strictly α-Pareto optimal solution

Authors

Fatemeh Fayyaz Rouhbakhsh

Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran

Hassan Hassanpour

Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand. Iran.

Sohrab Effati

Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.

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https://civilica.com/doc/1475833

شناسه ملی سند علمی:

JR_CJMS-11-1_001

تاریخ نمایه سازی: 6 تیر 1401

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Fayyaz Rouhbakhsh, Fatemeh and Hassanpour, Hassan and Effati, Sohrab,1401,Solving fuzzy multi objective linear programming problems: an α-cut approach,https://civilica.com/doc/1475833

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