Affiliations: [a] School of Mathematics and Physics, Anhui University of Technology, Ma’anshan, Anhui, China
| [b] School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), Patiala, Punjab, India | [c] Department of Mathematics, Graphics Era Deemed to be University, Dehradun, Uttarakhand, India | [d] Applied Science Research Center, Applied Science Private University, Amman, Jordan
Correspondence:
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Corresponding author. Xiaodi Liu, School of Mathematics and Physics, Anhui University of Technology, Ma’anshan, Anhui 243002, China. E-mail: lxy1160@163.com.
Abstract: With the implementation and steady progress of the Belt and Road (B&R) initiative, China’s investment in countries along the B&R has maintained a high growth trend. Generally speaking, investment problems are often accompanied by high risk and uncertainty, and how to make the suitable investment decision is a difficult issue. This paper investigates an investment decision approach under the probabilistic hesitant fuzzy environment. Firstly, a new probabilistic hesitant fuzzy distance and correlation coefficient are defined to overcome the defects of the existing probabilistic hesitant fuzzy information measures. Secondly, an attribute weight integrated model is constructed by combining the maximum deviation method, the CRITIC method and the maximum entropy principle, which is able to take into account the correlation between attributes and make full use of the decision information. In addition, a disappointment theory-based probabilistic hesitant fuzzy multi-attribute decision making (PHFMADM) method is proposed to solve the investment decision problem, which can integrate the psychological behavior of decision makers into the decision making process and make the decision results more authentic and reliable. Finally, the rationality and validity of the method are verified by comparing with the existing methods.
