Research on the Principle of Minimal Incompatibility for Fuzzy Reasoning

摘要

Based on the concept of incompatible factor, this paper introduces further the principle of minimal incompatibility, and use this principle to improve the triple I method. In addition, by the principles of maximal support and minimal incompatibility the solutions of the problems of Fuzzy Modus Ponens and Fuzzy Modus Tollens are unified. The reason why the new method is more reasonable than the triple I method is analyzed, and the new method is generalized by considering two different types of implication operators.