A note on the potentials of probabilistic and fuzzy logic

This paper mainly focuses on (1) a generalized treatment of fuzzy sets of type n, where n is an integer larger than or equal to 1, with an example, mathematical discussions, and real-life interpretation of the given mathematical concepts; (2) the potentials and links between fuzzy logic and probability logic that have not been discussed in one document in literature; (3) representation of real-life random and fuzzy uncertainties and ambiguities that arise in data-driven real-life problems, due to uncertain mathematical and vague verbal terms in datasets.