Combined Data Envelopment Analysis and Analytical Hierarchy Process Methods to obtain the Favorable Weights from Pairwise Comparison Matrix

Document Type : Research Paper

Author

Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.

Abstract

Finding the favorable weights from pairwise comparison matrices is very important to rank the alternatives in Multi Attribute Decision Making (MADM) concept. Using Linear Programming has considered to develop this field during recent researches. Combined Analytic Hierarchy Process and Data Envelopment Analysis considered by some researches to find the weights. Decreasing the numerical procedures is vital because of using linear programming in proposed models. In this paper we are going to present some models to generate the favorable weights from a pairwise comparison matrix combing Analytic Hierarchy Process (AHP) and Data Envelopment Analysis (DEA) models. First we address a history and applications of AHP and then some notes on DEA models. Finally three DEA models are proposed to find the weights. In this way we tried to decrease the computational process by decreasing the number of constraints and variables of proposed models. Some numerical examples are putted forward to illustrate our approaches.

Keywords

References

1. Banker, R.D., Charnes, A., Cooper, W.W., 1984. Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science 30 (9), 1078-1092.
2. Belton V, Vickers SP. Demystifying DEA—a visual interactive approach based on multi criteria analysis. Journal of the Operational Research Society 1993;44:883– 96.
3. Charnes, A., Cooper, W.W., Rhodes, E., 1978. Measuring the efficiency of decision making units. European Journal of Operation Research 2, 429-444.
International Journal of Data Envelopment Analysis
Volume 4, Issue 4
November 2016
Pages 1061-1070

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