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Showing 2 results for Multi-Objective Linear Programming
Hosseinzadeh Lotfi, Noora, Jahanshahloo, Volume 2, Issue 1 (4-2010)
Abstract
We suggest a method for finding the non-dominated points of the production possibility set (PPS) with variable returns to scale (VRS) technology in data envelopment analysis (DEA). We present a multiobjective linear programming (MOLP) problem whose feasible region is the same as the PPS under variable returns to scale for generating non-dominated points. We demonstrate that Pareto solutions of the MOLP produce efficient units in DEA, and vice versa. We solve the MOLP problem by using a finite number of weights which are extreme rays of the cone generated by the efficient solutions. We obtain new efficient points by changing weights, and thus the efficient solutions set is produced.
Masomeh Gholizadeh, Gohar Shakouri, Babak Khabiri, Volume 17, Issue 1 (5-2026)
Abstract
In this research, a Multi-Objective Linear Programming model with fuzzy goals is addressed. We review two existing methods to _nd the solution for the Fuzzy Multi-Objective Linear Programming problem. We discuss some advantages and shortcomings of the solving methods; accordingly, we recommend the preferred model. More- over, we propose a revision of the conventional point of view about the process of finding the solution of these kinds of problems and present the results regarding the two mentioned methods. A numerical example is provided to illustrate our approach.
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