Affiliations: [a] College of Information Engineering, Shanghai Maritime University, Shanghai, China
| [b] Department of Mathematics, School of Arts and Sciences, Shaanxi University of Science & Technology, Xi’an, China
| [c] College of Arts and Sciences, Shanghai Maritime University, Shanghai, China
Abstract: The probabilistic neutrosophic hesitant fuzzy numbers are considered to be effective tools for dealing with such decision problems when both subjective and objective uncertainties exist simultaneously. However, the existing methods for dealing with real-life decision-making in the context is based on the assumption that the relationships between all criteria are independent and irrelevant. It is worth noting that this assumption is not sufficient. In fact, there may be interrelationships between attributes. In order to consider the correlation between factors from a more global perspective, the generalized Shapley probabilistic neutrosophic hesitant fuzzy Choquet averaging (GS-PNHFCA) operator and the generalized Shapley probabilistic hesitant fuzzy Choquet geometric (GS-PNHFCG) operator are investigated. Next, in order to find the optimal weight vector about DMs and criteria, a model is constructed by the maximizing score deviation (MSD) method. In addition, based on the integrated operators and built models, an algorithm for solving the MCGDM problem of PNHFN is designed. The effectiveness and practicability of the algorithm is proved by comparison with existingresults.
