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支撑模糊集合转换的模糊逻辑是伪逻辑

Fuzzy Logic for Fuzzy Set Transformation is Pseudo Logic
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摘要 模糊逻辑系统用模糊集合描述模糊信息、用模糊集合转换处理模糊信息.阐述支撑模糊集合转换的模糊逻辑为什么是伪逻辑的原因.指出定义在论域一个空间上的模糊集合,因为破坏了集合中元素的'不可分割性',所以模糊集合描述的模糊信息不能用数学计算通过模糊集合转换处理.实际应用中的模糊信息定义在论域与状态空间两个空间上,其正确表达方式是满足'归一化'条件的隶属度向量;处理的正确途径是,研究基于状态转移矩阵的隶属度转换;支撑隶属度转换的是近似推理逻辑,目的是使构建的隶属度转换模型是当前条件下人们可能构建的'最优'近似模型. Fuzzy logic system uses fuzzy sets to describe fuzzy information and dealts with fuzzy information by fuzzy set.The reason why Fuzzy logic for fuzzy set transformation is pseudo logic is revealed.Fuzzy set which define on one space in universe destroy the indivisibility of element in set,so fuzzy information described by fuzzy set can not deal with by fuzzy set transformation.It is defined in the two spaces of the universe and the state space,and its correct expression is membership degree vector which satisfy the normalized condition.The reasonable method of fuzzy information processing is study the membership degree transformation based on state transition matrix.The membership degree transformation is supported by approximate reasoning logic.Based this,membership transformation model is built.In this article,we explain why the model is the best approximation model that people can construct under the current conditions.
作者 刘开第 庞彦军 栗文国 LIU Kai-di;PANG Yan-jun;LI Wen-guo(Institution of Uncertainty Information,Hebei University of Engineering,Handan 056038, China)
出处 《数学的实践与认识》 北大核心 2019年第7期215-220,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(61375003).
关键词 模糊逻辑 模糊集合 模糊集合转换 隶属度转换 近似推理逻辑 fuzzy logic fuzzy set fuzzy set transformation membership degree transformation approximate reasoning logic
作者简介 通信作者:庞彦军
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