Multidimensional Fuzzy Soft Sets and their Application in Selecting Optimal Transportation Projects under Uncertainty

This research presents a new set called multidimensional fuzzy soft set, which is an extension of soft set and multidimensional fuzzy set. The paper explores the fundamental properties of multidimensional fuzzy soft set and introduces operations such as negation, t-norms and t-conorms within this context. Additionally, the study discusses relevant laws, including De Morgan’s law as they apply to this new structure. Furthermore, the application of this newly proposed set in the decision-making process such as selecting the most suitable transportation infrastructure project underscores its significance in practical scenarios. A study in comparison with the existing decision making approach utilizing interval valued intuitionistic fuzzy sets

کلیدواژه ها:

Multidimensional fuzzy soft set ، Multidimensional fuzzy soft negation ، Multidimensional fuzzy soft t-norm ، Multidimensional fuzzy soft t- conorm ، Decision making