基于熵的具有q阶正交对模糊信息的公私合营项目社会资本选择的GLDS方法
Entropy-Based GLDS Method for Social Capital Selection of a PPP Project with q-Rung Orthopair Fuzzy Information.
作者信息
Liu Li, Wu Jiang, Wei Guiwu, Wei Cun, Wang Jie, Wei Yu
机构信息
School of Economics, Sichuan University, Chengdu 610065, China.
School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China.
出版信息
Entropy (Basel). 2020 Apr 7;22(4):414. doi: 10.3390/e22040414.
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.
公私合营（PPP）项目的社会资本选择可被视为一个典型的多属性群体决策（MAGDM）问题。本文基于传统的得失优势得分（GLDS）方法，采用基于q阶正交对模糊熵的GLDS方法来解决MAGDM问题。首先，简要回顾了一些与q阶正交对模糊集（q-ROFSs）相关的基本理论。然后，为了有效融合q阶正交对模糊信息，基于哈马赫运算定律提出了q阶正交对模糊哈马赫加权平均（q-ROFHWA）算子和q阶正交对模糊哈马赫加权几何（q-ROFHWG）算子。此外，为了确定属性权重，提出了q阶正交对模糊熵（q-ROFE）并讨论了其一些显著优点。接下来，基于q-ROFHWA算子、q-ROFE和传统的GLDS方法，建立了一个具有q阶正交对模糊信息的MAGDM模型。最后，给出了一个PPP项目社会资本选择的数值例子，以验证所提方法并进行对比分析。
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