Identification of Eco-Friendly Transportation Mode by Employing Complex Intuitionistic Fuzzy Multi-Criteria Decision-Making Approach Based on Probability Aggregation Operators

A number of factors, including environmental effects, cost efficiency, delivery time, and capacity, must be considered when choosing an eco-friendly method of transportation. This is a multi-criteria decision-making dilemma because it necessitates the simultaneous evaluation and prioritization of multiple considerations. Selecting the most eco-friendly mode of transportation requires weighing trade-offs between these factors to make an informed choice that satisfies particular transportation needs and is in line with sustainability goals. This calls for a thorough and methodical decision-making process. Thus, in this manuscript, first, we anticipate fundamental algebraic properties for the cartesian form of complex intuitionistic fuzzy set and then devise various probability aggregation operators such as probability complex intuitionistic fuzzy weighted averaging, probability complex intuitionistic fuzzy ordered weighted averaging, immediate probability complex intuitionistic fuzzy ordered weighted averaging, probability complex intuitionistic fuzzy weighted geometric, probability complex intuitionistic fuzzy ordered weighted geometric, immediate probability complex intuitionistic fuzzy ordered weighted geometric and linked axioms. Afterward, we deduce a technique of multi-criteria decision-making in the setting of the cartesian framework of the complex intuitionistic fuzzy set by utilizing the anticipated aggregation operators and then analyze a case study “identification of eco-friendly transportation mode” with the assistance of the developed technique of multi-criteria decision-making. In the last of the manuscript, we compare the anticipated theory with certain prevailing concepts to reveal the supremacy and preeminence of the originated theory.