Title of article
Solving fuzzy multi objective linear programming problems: an α-cut approach
Author/Authors
Fayyaz Rouhbakhsh ، Fatemeh Faculty of Mathematical Sciences and Statistics - University of Birjand , Hassanpour ، Hassan Faculty of Mathematical Sciences and Statistics - University of Birjand , Effati ، Sohrab Department of Applied Mathematics - Ferdowsi University of Mashhad
From page
1
To page
14
Abstract
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 numerical example is solved to illustrate the method.
Keywords
Multi objective linear programming , Fuzzy number , Properly α , Pareto optimal solution , Weakly α , Pareto optimal solution , Strictly α , Pareto optimal solution
Journal title
Caspian Journal of Mathematical Sciences (CJMS)
Journal title
Caspian Journal of Mathematical Sciences (CJMS)
Record number
2776517
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