Ordinal sums by using genetic algorithms

A novel approach based on the 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 the ordinal sums and to optimise subintervals, and to allocate the 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 the Zimmermann-Zysno logic operator data is also shown.