Affiliations: [a] School of Mathematics and Statistics, Liupanshui Normal University, Liupanshui, P.R. China
| [b] School of Economics and Management, Chongqing University of Arts and Sciences, Chongqing, China
| [c] School of Business, Sichuan Normal University, Chengdu, P.R. China
Correspondence:
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Corresponding author. Pingqing Liu, School of Mathematics and Statistics, Liupanshui Normal University, 553004, Liupanshui, P.R. China. E-mail: [email protected].
Abstract: The recruitment of university researchers can be considered a multi-attribute group decision-making (MAGDM) problem. MAGDM is a familiar issue with uncertainty and fuzziness in the decision-making field. Generalized hesitation fuzzy numbers (GHFNs) as a new expanded form of hesitation fuzzy numbers (HFNs) can better express the uncertain information in MAGDM. The TODIM is a very classical and widely used method to deal with the MAGDM issue. In this paper, we integrate cumulative prospect theory (CPT) into TODIM to consider not only decision makers’ subjective risk preferences but also their confidence level to obtain more reasonable choices under risk conditions. Therefore, we propose the GHF CPT-TODIM approach to tackle the MAGDM issue. Meanwhile, in the GHF environment, it is proposed to use the volatility of attribute information (entropy weighting method) to obtain the importance of attributes, obtain the unknown attribute weight, and enhance the rationality of weight information. Finally, the validity and usefulness of the technique are verified by applying the GHF CPT-TODIM technique to the recruitment of university researchers and comparing it with the existing GHF MAGDM method, which offers a new way to solve the MAGDM problem with GHFNs.
Keywords: Multi-attribute group decision-making (MAGDM), generalized hesitant fuzzy numbers (GHFNs), TODIM, cumulative prospect theory (CPT), recruitment of university researchers
