Investment Selection Based on Bonferroni Mean under Generalized Probabilistic Hesitant Fuzzy Environments

Wenying Wu, Zhiwei Ni, Feifei Jin, Jian Wu, Ying Li and Ping Li
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Wenying Wu: School of Management, Hefei University of Technology, Hefei 230009, Anhui, China
Zhiwei Ni: School of Management, Hefei University of Technology, Hefei 230009, Anhui, China
Feifei Jin: School of Business, Anhui University, Hefei 230601, Anhui, China
Jian Wu: Researching Center of Social Security, Wuhan University, Wuhan 430072, Hubei, China
Ying Li: School of Management, Hefei University of Technology, Hefei 230009, Anhui, China
Ping Li: School of Management, Hefei University of Technology, Hefei 230009, Anhui, China

Mathematics, 2021, vol. 9, issue 1, 1-21

Abstract: In investment selection problems, the existence of contingency and uncertainty may result in the loss of attribute information. Then, how to make proper investment decision-making will be a tricky proposition. In this work, a multiattribute group decision making (MAGDM) method based on the generalized probabilistic hesitant fuzzy Bonferroni mean (GPHFBM) operator is constructed, which enables decision-makers to select the proper parameters in decision-making process. Firstly, the GPHFBM operator is proposed by combining the Bonferroni mean operator and Archimedean norm. Secondly, five excellent properties of the GPHFBM operator are discussed in detail. In view of applications, we further develop some special aggregation operators for GPHFBM with the various values of parameters b , d and additive operators g ( t ). Finally, we propose a probabilistic hesitant fuzzy MAGDM method based on the GPHFBM operator to analyze the aggregated information. A case study of the investment of social insurance funds is given to depict the validity and reasonability of the proposed method. Ultimately, the company X 4 is selected as the investment company with the best comprehensive indicator.

Keywords: probabilistic hesitant fuzzy set; Bonferroni mean operator; Archimedean t-norm and s-norm; generalized probabilistic hesitant fuzzy Bonferroni mean operator; investment selection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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