A Linear Interpolative Reasoning Approach under Multi-Dimensonal Fuzzy Rules

Interpolative reasoning is type of important reasoning approaches under sparse rules. Interpolative reasoning in one dimension has been researched widely, but the research in multidimension is lacking and a few existing approaches have some faults. Interpolative reasoning in multidimension is an important research aspect of interpolative reasoning, in order to get better conclusion under multidimensional sparse rules condition, we research interpolative reasoning approach in multidimension and propose a linear interpolative reasoning approach in multidimension which can keep the convexity and normality of the reasoning conclusion better. It devotes a useful tool for fuzzy reasoning in intelligent systems.