Title: A TOPSIS, VIKOR and DEA integrated evaluation method with belief structure under uncertainty to rank alternatives

Authors: Amir Amini; Alireza Alinezhad; Fahimeh Yazdipoor

Addresses: Department of Industrial Engineering, Urmia University of Technology, Urmia, Iran ' Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran ' Department of Industrial Engineering, Islamic Azad University, Science and Research Branch, Qazvin, Iran

Abstract: This study proposes a combined method, based on a new compromised solution method and DEA to evaluate the efficiency of DMUs. By using TOPSIS and VIKOR methods two concepts are considered simultaneously. First, the optimal alternative is closer to positive ideal solution and farther from negative ideal solution. Second, the proposed method provides a maximum 'group utility' for the 'majority' and a minimum of an individual regret for the 'opponent'. In this method, weight of efficiency obtained from new compromised solution method is multiplied by the weight of CCR model of DEA. The problem involves BELIEF parameters in the solution procedure. Thus, the new proposed method that applied the advantages of TOPSIS, VIKOR and DEA and BELIEF structure simultaneously was used as a group decision making problem to exploit many experts' judgments. Finally, to illustrate the proposed method, an illustrative example is provided.

Keywords: TOPSIS; VIKOR; data envelopment analysis; DEA; compromised solution method; belief structure.

DOI: 10.1504/IJAOM.2019.100708

International Journal of Advanced Operations Management, 2019 Vol.11 No.3, pp.171 - 188

Received: 09 Dec 2017
Accepted: 11 Oct 2018

Published online: 14 Jun 2019 *

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