Florentin Smarandache - Department of Mathematics, University of New Mexico ۷۰۵ Gurley Ave. Gallup, NM ۸۷۳۰۱, USA.

This paper is devoted to Plithogeny, Plithogenic Set, and its extensions. These concepts are branches of uncertainty and indeterminacy instruments of practical and theoretical interest. Starting with some examples, we proceed towards general structures. Then we present definitions and applications of the principal concepts derived from plithogeny, and relate them to complex problems.

Plithogeny, Plithogenic Set, Plithogenic Logic, Plithogenic Probability, Plithogenic Statistics, multivariate analysis, Symbolic Plithogenic Algebraic Structures