The Analytical Approach to the Parameterized Fuzzy Operators Design

Abstract In this paper we discussed the problem of generation and efficient software- and hardware-based implementation of branches of fuzzy logic parametric operations that can be used as basic operations of reconfigurable fuzzy systems (embedded fuzzy controllers). The ways of design of strict t -norms and t -conorms on fuzzy systems in presented paper based on the mathematical theory of geometrical aggregation operations from the Rvatchev constructive geometry. Presented theoretical results may be implemented for a new branches of membership functions design and in the hardware-based units of analytical fuzzy inference systems.