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一种新的模糊逻辑函数表示及化简方法
引用本文:许录平,谢维信.一种新的模糊逻辑函数表示及化简方法[J].西安电子科技大学学报,1997,24(3):346-350.
作者姓名:许录平  谢维信
作者单位:西安电子科技大学电子工程学院
摘    要:提出了一种新的模糊逻辑函数表示及化简方法——模糊K图法.首先给出了模糊逻辑函数的最小化析取范式,接着提出了模糊逻辑函数的K图(FK图)表示方法、模糊一致定理、FK图的蕴含图及覆盖分数.最后给出了模糊逻辑函数的FK图化简算法.与传统的解析法相比,该方法不仅直观、简便,还易于计算机实现,具有一定的实用价值.

关 键 词:模糊逻辑  模糊函数  Karnaugh图  模糊Karnaugh图

A new representation and simplification method of fuzzy logic functions
Xu Luping,Xie Weixin.A new representation and simplification method of fuzzy logic functions[J].Journal of Xidian University,1997,24(3):346-350.
Authors:Xu Luping  Xie Weixin
Abstract:A new representation and simplification method of fuzzy logic functions, that is, fuzzy Karnaugh maps, is presented. First, the minimal disjunctive normal form of fuzzy logic functions is given. Then, the representation of fuzzy logic functions, the fuzzy consensus theorem, and fuzzy implicant maps and cover fraction of fuzzy Karnaugh maps are proposed. Finally, the simplification algorithm of fuzzy logic functions using fuzzy Karnaugh maps is described. Compared with the conventional analytic method, the method obtained, which is of practical value, is intuitive and simple and can be easily realized by computers.
Keywords:fuzzy logic  fuzzy functions  Karnaugh maps  fuzzy Karnaugh maps
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