  This paper shows a novel fuzzy approximate reasoning method based on the
least common multiple (LCM). Its 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. The
proposed method 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.
