Ordinal sums by using genetic algorithms

In this paper a novel approach based on Ordinal Sums and Genetic Algorithms is introduced. The main characteristic of an Ordinal Sum lies in the use of different t-norms (t-conorms) defined over disjoint subintervals of the unit interval. In this approach a genetic optimisation environment to construct Ordinal Sums and to optimise subintervals and to allocate individual local t-norms is introduced. Different parametric and non-parametric t-norms (t-conorms) are used. Several results to demonstrate the properties of the approach are proposed. The application of the genetically designed Ordinal Sums in case of Zimmermann-Zysno logic operator data is also shown.