Generalized If-Then-Else Operator for Compact Polynomial Representation of Multi Output Functions

Abstract

The paper studies a new polynomial representation of Multi Output Functions (MOFs). The new representation, called GITE-polynomials, is based on a newly introduced Generalized If-Then-Else (GITE) function. Being a compact form of representation of MOFs, the GITE-polynomials allow efficient manipulation with a set of functions. The paper introduces algebra of GITE-polynomials. Properties of this algebra are used for solving the MOF-decomposition problem. The solution provides a compact representation of MOFs.