A Time-Sequential Probabilistic Hesitant Fuzzy Approach to a 3-Dimensional Green Transportation System

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.