Aggregating preference ranking with fuzzy Data Envelopment Analysis

  • Authors:
  • Majid Zerafat Angiz L.;Ali Emrouznejad;A. Mustafa;A. S. Al-Eraqi

  • Affiliations:
  • School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia and Department of Mathematics, Islamic Azad University, Firouzkooh, Iran;Aston Business School, Aston University, Birmingham B4 7ET, UK;School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia;Department of Computer Science and Engineering, College of Engineering, University of Aden, Yemen Republic

  • Venue:
  • Knowledge-Based Systems
  • Year:
  • 2010

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Abstract

Selecting the best alternative in a group decision making is a subject of many recent studies. The most popular method proposed for ranking the alternatives is based on the distance of each alternative to the ideal alternative. The ideal alternative may never exist; hence the ranking results are biased to the ideal point. The main aim in this study is to calculate a fuzzy ideal point that is more realistic to the crisp ideal point. On the other hand, recently Data Envelopment Analysis (DEA) is used to find the optimum weights for ranking the alternatives. This paper proposes a four stage approach based on DEA in the Fuzzy environment to aggregate preference rankings. An application of preferential voting system shows how the new model can be applied to rank a set of alternatives. Other two examples indicate the priority of the proposed method compared to the some other suggested methods.