Abstract
Time-sequence is a vital component in depicting uncertainty, as the expert may possess distinct perspectives on the like alternative at various time-sequential points. Thus, in order to address the contemporaneous existence of likelihood and impreciseness embedded in real-world decision-making problems under the influence of time sequence, we introduced a time-sequential probabilistic hesitant fuzzy set (TS-PHFS). The fundamental operations and a function to rank the elements of the proposed set are also proposed. A green three-dimensional transportation system with multiple objectives is formulated with parameters as a time-sequential probabilistic hesitant element (TS-PHFE) to elaborate pragmatic applicability of the proposed set. We also devised a methodology to deal with the proposed model and numerical computation to emphasize the momentous green transportation model under time-sequential probabilistic hesitant fuzzy settings. The efficiency of the proposed model is shown by finding the Pareto optimal solution using fuzzy programming.
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Sharma, M.K., Chaudhary, S., Rathour, L., Mishra, V.N. (2024). A Time-Sequential Probabilistic Hesitant Fuzzy Approach to a 3-Dimensional Green Transportation System. In: Singh, J., Anastassiou, G.A., Baleanu, D., Kumar, D. (eds) Advances in Mathematical Modelling, Applied Analysis and Computation . ICMMAAC 2023. Lecture Notes in Networks and Systems, vol 953. Springer, Cham. https://doi.org/10.1007/978-3-031-56304-1_9
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