Fuzzy Approximate Reasoning Method based on Least Common Multiple and its Property Analysis
@article{Son2020FuzzyAR, title={Fuzzy Approximate Reasoning Method based on Least Common Multiple and its Property Analysis}, author={Il-min Son and Son-il Kwak and MyongSong Choe}, journal={ArXiv}, year={2020}, volume={abs/2010.05453} }
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…
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