Emergency response scheme selection with T-spherical hesitant probabilistic fuzzy TODIM-TPZSG approach.

This paper aims to investigate an innovative framework to handle emergency response scheme selection (ERSS) issues by integrating TODIM and TPZSG (two-person zero-sum game) methods under novel T-spherical hesitant probabilistic fuzzy set (T-SHPFS) environments. First, T-SHPFS is defined as an extension of the existing tools, which can depict the complex assessment information including several possible values of the various membership functions' degrees and the associated statistical uncertainty information. Concomitantly, T-SHPFS's normalization method, comparison laws, operation rules, cross-entropy measure and Hausdorff distance are explored. Then, an objective attribute weight determining model is constructed, considering the credibility of T-SHPF evaluations and the divergence degrees between attribute assessments simultaneously. Next, an integrated TODIM-TPZSG decision-making approach is developed to select the most desirable emergency response scheme. Finally, an illustrative example concerning the selection of the best medical waste disposal method during the COVID-19 epidemic is conducted to verify the effectiveness of the proposed TODIM-TPZSG method. Sensitivity analysis and comparisons between the TODIM-TPZSG and other representative methods are also provided to demonstrate the superiorities of the proposed method. The results reveal that the developed T-SHPFSs give DMs more assessment freedom; the proposed TODIM-TPZSG approach considers the decision makers' psychological behaviors; the ranking results of the proposed method can reflect the specific divergence degrees among the alternatives; and the needed computation burden and computational complexity are low and less affected by the number of alternatives and criteria than most current ERSS methods. • Proposing T-spherical hesitant probabilistic fuzzy set (T-SHPFS), a novel fuzzy set, to describe intricate information, which renders experts more freedom in evaluation processes. • Establishing the normalization method, comparison laws, operation rules, cross-entropy measure and Hausdorff distance of T-SHPFSs. • Constructing an objective attribute weight determining model, considering the credibility of T-SHPF evaluations and the divergence degree between attribute assessments simultaneously. • Devising an integrated TODIM-TPZSG decision-making approach for selecting the most desirable emergency response scheme. [ABSTRACT FROM AUTHOR]