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

Li Liu · Jiang Wu · Guiwu Wei · Cun Wei · Yu Wei

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Multi-Criteria Decision Making Rough Sets and Fuzzy Logic Fuzzy and Soft Set Theory

Abstract

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.

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References

1986Intuitionistic fuzzy sets 2013Pythagorean Membership Grades in Multicriteria Decision Making 2016Generalized Orthopair Fuzzy Sets 2014Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets 2017Some q-Rung Orthopair Fuzzy Aggregation Operators and their Applications to Multiple-Attribute Decision Making 2015Some Results for Pythagorean Fuzzy Sets 2015Pythagorean fuzzy TODIM approach to multi-criteria decision making 2018Some q-rung orthopair fuzzy Heronian mean operators in multiple attribute decision making

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