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Open AccessArticle

Entropy-Based GLDS Method for Social Capital Selection of a PPP Project with q-Rung Orthopair Fuzzy Information

by Li Liu 1, Jiang Wu 2, Guiwu Wei 3, Cun Wei 2, Jie Wang 3 and Yu Wei 4,*
1
School of Economics, Sichuan University, Chengdu 610065, China
2
School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China
3
School of Business, Sichuan Normal University, Chengdu 610101, China
4
School of Finance, Yunnan University of Finance and Economics, Kunming 650221, China
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(4), 414; https://doi.org/10.3390/e22040414
Received: 19 March 2020 / Revised: 24 March 2020 / Accepted: 30 March 2020 / Published: 7 April 2020
(This article belongs to the Special Issue Applications of Information Theory to Industrial and Service Systems)
The social capital selection of a public–private-partnership (PPP) project could be regarded as a classical multiple attribute group decision-making (MAGDM) issue. In this paper, based on the traditional gained and lost dominance score (GLDS) method, the q-rung orthopair fuzzy entropy-based GLDS method was used to solve MAGDM problems. First, some basic theories related to the q-rung orthopair fuzzy sets (q-ROFSs) are briefly reviewed. Then, to fuse the q-rung orthopair fuzzy information effectively, the q-rung orthopair fuzzy Hamacher weighting average (q-ROFHWA) operator and q-rung orthopair fuzzy Hamacher weighting geometric (q-ROFHWG) operator based on the Hamacher operation laws are proposed. Moreover, to determine the attribute weights, the q-rung orthopair fuzzy entropy (q-ROFE) is proposed and some significant merits of it are discussed. Next, based on the q-ROFHWA operator, q-ROFE, and the traditional GLDS method, a MAGDM model with q-rung orthopair fuzzy information is built. In the end, a numerical example for social capital selection of PPP projects is provided to testify the proposed method and deliver a comparative analysis. View Full-Text
Keywords: multiple attribute group decision-making (MAGDM); GLDS model; entropy; social capital selection; public–private-partnership (PPP) projects multiple attribute group decision-making (MAGDM); GLDS model; entropy; social capital selection; public–private-partnership (PPP) projects
MDPI and ACS Style

Liu, L.; Wu, J.; Wei, G.; Wei, C.; Wang, J.; Wei, Y. Entropy-Based GLDS Method for Social Capital Selection of a PPP Project with q-Rung Orthopair Fuzzy Information. Entropy 2020, 22, 414.

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