A Sparse Fuzzy Interpolative Reasoning Method Based on Width Similarity

Fuzzy reasoning is the very important process in fuzzy intelligent system. Very few papers address the research for interpolative reasoning under multidimensional sparse rides. Moreover, these existed methods can not guarantee the convexity of result in many conditions. So, in order to improve the methods of fuzzy reasoning, this paper proposes a similarity relation between fuzzy sets. Based on the similarity relation, an improved fuzzy interpolative reasoning method is proposed. Moreover, the method is extended to the case of complex multidimensional fuzzy reasoning.