Interpolative reasoning in fuzzy logic and neural network theory

Abstract

Summary form only given. Interpolative reasoning plays a key role in both fuzzy logic and neural network theory. The basic approaches to interpolative reasoning in both fuzzy logic and neural networks were surveyed, and their differences and similarities were analyzed. An important issue in interpolative reasoning in fuzzy logic relates to the solution of a system of fuzzy algebraic equations. Various approaches to this problem, including fuzzy Lagrangian interpolation and the use of FA-Prolog, were described and analyzed. Among other issues discussed were the compression of a system of fuzzy if-then rules and the induction of rules from observations.<>