A Generalized Fuzzy Interpolative Method Based on Center of Gravity

When rule base is sparse, we cannot get any reasoning result by traditional CRI method, however interpolative reasoning methods can tackle this problem. After analyzing the interpolative reasoning method based on center of gravity by Zhiheng Huang and Qiang Shen, this paper presents a generalized fuzzy interpolative method based on center of gravity (COG). This method allows the conditions appearing in the antecedent part and the consequence of the rules to be represented not only by triangular fuzzy numbers but also by trapezoidal fuzzy numbers; moreover it can keep the convexity of the inferential consequence. In this process, scale and move rate transformation operations are used to support such reasoning.