Common-weights approach in fuzzy DEA from based on virtual ideal and anti-ideal units: a case study on insurance companies
Subject Areas : تحقیق در عملیاتMaysam Majdi 1 , Maryam Nikbakht 2 , A. Ebrahimnejad 3
1 - Department of Industrial Engineering, Ayendag Institute of Higher Education, Tonkabon, Iran
2 - Department of Mathematics, Payame Noor University, Tehran, Iran
3 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Keywords: Data envelopment analysis, The best fuzzy efficiency, The worst fuzzy efficiency, The fuzzy relative closeness index, The common set of weights.,
Abstract :
The present study evaluates the performance of decision-making units from two optimistic and pessimistic perspectives in the fuzzy environment based on data envelopment analysis with the common set of weights approach. In the proposed method, first, two fuzzy virtual decision-making units namely the fuzzy ideal decision-making unit and the fuzzy anti-ideal decision-making unit are introduced and their efficiencies are estimated. Then, based on the common set of weights technique, the fuzzy worst and the fuzzy best efficiency of units are computed. Finally, based on the fuzzy relative closeness index, the triangular fuzzy efficiency of all units is calculated. The important advantages of the proposed method are the logical comparison between units based on a common weight, preventing the flexibility of their weight, and more differentiation power among them. To analyze and illustrate the proposed method, the performance of 30 non-life insurance companies involving triangular fuzzy numbers in Iran is evaluated.
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