| Authors | Hassan Hassanpour,Sohrab Effati |
|---|---|
| Journal | Caspian journal of Mathematical sciences |
| Page number | 1-14 |
| Serial number | 11 |
| Volume number | 1 |
| Paper Type | Full Paper |
| Published At | 2022 |
| Journal Type | Electronic |
| Journal Country | Iran, Islamic Republic Of |
| Journal Index | isc |
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.
tags: Multi objective linear programming, Fuzzy number, Properly α-Pareto optimal solution, Weakly α-Pareto optimal solution, Strictly α-Pareto optimal solution