Fuzzy Approximate Reasoning Method based on Least Common Multiple and its Property Analysis

This paper shows a novel fuzzy approximate reasoning method based on the least common multiple (LCM). I ts fundamental idea is to obtain a new fuzzy reasoning result by the extended distance measure based on LCM between the antecedent fuzzy set and the consequent one in discrete SISO fuzzy system. T he proposed metho d is called LCM one. And then this paper analyzes its some properties, i.e., the reductive property, information loss occurred in reasoning process, and the convergence of fuzzy control. Theoretical and experimental research results highlight that proposed method meaningfully improve the reductive property and information loss and controllability than the previous fuzzy reasoning methods.