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Open AccessArticle

TOPSIS Method for Probabilistic Linguistic MAGDM with Entropy Weight and Its Application to Supplier Selection of New Agricultural Machinery Products

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School of Business, Sichuan Normal University, Chengdu 610101, China
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School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China
3
Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
*
Authors to whom correspondence should be addressed.
Entropy 2019, 21(10), 953; https://doi.org/10.3390/e21100953
Received: 14 August 2019 / Revised: 19 September 2019 / Accepted: 23 September 2019 / Published: 29 September 2019
In multiple attribute group decision making (MAGDM) problems, uncertain decision information is well-represented by linguistic term sets (LTSs). These LTSs are easily converted into probabilistic linguistic sets (PLTSs). In this paper, a TOPSIS method is proposed for probabilistic linguistic MAGDM in which the attribute weights are completely unknown, and the decision information is in the form of probabilistic linguistic numbers (PLNs). First, the definition of the scoring function is used to solve the probabilistic linguistic entropy, which is then employed to objectively derive the attribute weights. Second, the optimal alternatives are determined by calculating the shortest distance from the probabilistic linguistic positive ideal solution (PLPIS) and on the other side the farthest distance of the probabilistic linguistic negative ideal solution (PLNIS). This proposed method extends the applications range of the traditional entropy-weighted method. Moreover, it doesn’t need the decision-maker to give the attribute weights in advance. Finally, a numerical example for supplier selection of new agricultural machinery products is used to illustrate the use of the proposed method. The result shows the approach is simple, effective and easy to calculate. The proposed method can contribute to the selection of suitable alternative successfully in other selection problems. View Full-Text
Keywords: multiple attribute group decision making (MAGDM); probabilistic linguistic term sets (PLTSs); information entropy; TOPSIS method; supplier selection; new agricultural machinery products multiple attribute group decision making (MAGDM); probabilistic linguistic term sets (PLTSs); information entropy; TOPSIS method; supplier selection; new agricultural machinery products
MDPI and ACS Style

Lu, J.; Wei, C.; Wu, J.; Wei, G. TOPSIS Method for Probabilistic Linguistic MAGDM with Entropy Weight and Its Application to Supplier Selection of New Agricultural Machinery Products. Entropy 2019, 21, 953.

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