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Location Selection of Express Distribution Centre with Probabilistic Linguistic MABAC Method Based on the Cumulative Prospect Theory
Volume 33, Issue 1 (2022), pp. 131–150
Pub. online: 7 January 2022      Type: Research Article      Open accessOpen Access
Received
1 August 2021
Accepted
1 November 2021
Published
7 January 2022

Abstract

In our daily life, we could be confronted with numerous multiple attribute group decision making (MAGDM) problems. For such problems we designed a model which employs probabilistic linguistic MABAC (multi-attributive border approximation area comparison) based on the cumulative prospect theory (CPT-PL-MABAC) method to solve the MAGDM. The CPT-PL-MABAC method can take experts’ psychological behaviour and preferences into consideration. Furthermore, we utilize the combined weight consisting of subjective weight and objective weight. The objective weight is acquired by the entropy method. Additionally, the concrete calculating steps of CPT-PL-MABAC method are proposed to solve the MAGDM for selecting the optimal location of express distribution centre. Also, a numerical example for location selection of express distribution centre is given as the justification of the usefulness of the designed method. Finally, we compare the designed model with the other three existing models, and summarize the advantages and shortcomings.

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Biographies

Tang Shiqi

S. Tang is a current master’s student with College of Mathematical Sciences, Sichuan Normal University, Chengdu, 610066, PR China. She is currently interested in aggregation operators, decision making and computing with words.

Wei Guiwu
weiguiwu@163.com

G. Wei has an MSc and a PhD degrees in applied mathematics from SouthWest Petroleum University, and in business administration from School of Economics and Management at SouthWest Jiaotong University, China, respectively. From May 2010 to April 2012, he was a postdoctoral researcher at the School of Economics and Management, Tsinghua University, Beijing, China. He is a professor in the School of Business at Sichuan Normal University. He has published more than 100 papers in journals, books and conference proceedings, including journals such as Omega, Decision Support Systems, Expert Systems with Applications, Applied Soft Computing, Knowledge and Information Systems, Computers & Industrial Engineering, Knowledge-Based Systems, International Journal of Intelligent Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, International Journal of Computational Intelligence Systems, International Journal of Machine Learning and Cybernetics, Fundamenta Informaticae, Informatica, Kybernetes, International Journal of Knowledge-Based and Intelligent Engineering Systems and Information: An International Interdisciplinary Journal. He has published 1 book. He has participated in several scientific committees and serves as a reviewer of a wide range of journals including Computers & Industrial Engineering, International Journal of Information Technology and Decision Making, Knowledge-Based Systems, Information Sciences, International Journal of Computational Intelligence Systems and European Journal of Operational Research. He is currently interested in aggregation operators, decision making and computing with words.

Chen Xudong

X. Chen has a PhD degree in applied mathematics for business administration from school of Economics and Management at SouthWest Jiaotong University, China, respectively. He is a professor in the School of Accounting, Southwestern University of Finance and Economics, Chengdu, 610074, PR China. He is currently interested in finance analysis, decision making and computing with words.


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Keywords
multiple attribute group decision making (MAGDM) PLTSs MABAC algorithm entropy method cumulative prospect theory (CPT) location selection

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