  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.
