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Informatica


Public-Private Partnership Decision Making Based on Correlation Coefficients of Single-Valued Neutrosophic Hesitant Fuzzy Sets
Volume 31, Issue 2 (2020), pp. 359–397
Pub. online: 25 March 2020      Type: Research Article      Open accessOpen Access
Received
1 December 2018
Accepted
1 February 2020
Published
25 March 2020

Abstract

Public-private partnership (PPP) is regarded as an innovative way to the procurement of public projects. Models vary with PPP projects due to their differences. The evaluation criteria are usually complex and the judgments offered by decision makers (DMs) show the characteristics of fuzziness and uncertainty. Considering these cases, this paper first analyses the risk factors for PPP models and then proposes a new method for selecting them in the setting of single-valued neutrosophic hesitant fuzzy environment. To achieve these purposes, two single-valued neutrosophic hesitant fuzzy correlation coefficients are defined to measure evaluated PPP models. Considering the weights of the risk factors and their interactions, two single-valued neutrosophic hesitant fuzzy 2-additive Shapley weighted correlation coefficients are defined. When the 2-additive measure on the risk factor set is not exactly known, several distance measure-based programming models are constructed to determine it. Based on these results, an algorithm for evaluating PPP models with single-valued neutrosophic hesitant fuzzy information is developed. Finally, a practical numerical example is provided to verify the validity and feasibility of the new method.

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Biographies

Meng Fanyong
mengfanyongtjie@163.com

F. Meng is a professor at School of Business, Central South University. He received his master’s degree from School of Mathematics and Information Science, Guangxi University, China, in 2008, and earned his PhD degree from School of Management and Economics, Beijing Institute of Technology, China, in 2011. He finished his postdoctoral work at School of Business, Central South University, China in 2016. Currently, he has contributed over 130 journal articles to professional journals. His research interests include fuzzy mathematics, decision making and game theory.

Tang Jie
tjie411@126.com

J. Tang is carrying out her PhD degree at School of Business, Central South University. She received her master’s degree from School of Management, Qingdao Technological University, China, in 2008. Currently, she has contributed 35 journal articles to professional journals. Her research interests include uncertain multi-attribute decision making, cluster analysis, and pattern recognition.

Zhang Shaolin
zhangshaolin2018@163.com

S. Zhang is carrying out his PhD degree at School of Business, Central South University. He received his master’s degree from School of Mathematics and Information Science, Guangxi University, China, in 2008. Currently, he has contributed 10 journal articles to professional journals. His current research interests include group decision making, preference relation and quality planning.

Xu Yanwei
xyw161611117@163.com

Y. Xu received her master’s degree at School of Business, Central South University, China in 2018. Currently, she has contributed 5 journal articles to professional journals. Her current research interest includes fuzzy decision making with interactions.


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© 2020 Vilnius University
Open access article under the CC BY license.

Keywords
public-private partnership decision making single-valued neutrosophic hesitant fuzzy set correlation coefficient the Shapley function

Funding
This work was supported by the National Natural Science Foundation of China (No. 71571192), the Beijing Intelligent Logistics System Collaborative Innovation Center (No. 2019KF-09), and the Major Project for National Natural Science Foundation of China (No. 71790615).

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