用模糊集合描述模糊信息的无效性
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摘要
用模糊集合描述模糊信息无效的原因是,把原本是论域与状态空间上二元函数的模糊隶属函数看成是论域上的一元函数,用模糊集合描述的模糊信息,不能支持模糊集合转换;使得通过模糊集合转换处理模糊信息的模糊数学,不得不借用不是数学计算、无缘数学模型的"取大取小"实现模糊集合转换;结果是背离数学计算的模糊数学,不能为处理模糊信息提供算法支持,导致大量需要处理的模糊信息滞留至今.还原模糊信息是高维状态空间上分类数据的真实面目,把处理模糊信息明确为由指标隶属度确定目标隶属度的隶属度转换,是模糊数学回归数学的唯一正确途径.
It is invalid to describe fuzzy information with fuzzy set. The reason is that regarding the fuzzy membership function that is originally function of two variables in universe and state space as function of one variable in universe and describing fuzzy information with fuzzy set cannot support fuzzy membership conversion. And it causes the fuzzy mathematics that process fuzzy information using fuzzy set conversion to depend on the max-min algorithm that is not mathematical calculation and cannot make mathematical model torealize fuzzy set conversion. The consequence is that the fuzzy mathematics that deviates mathematical calculation cannot provide algorithm support for processing fuzzy information and that large amount of fuzzy information remains to be processed. The only correct approach for fuzzy mathematics to return to mathematics is to restore the fuzzy information to its true face, the classifying data in high dimensional state space and to regard processing fuzzy information as the membership conversion from membership of indicators to objectiv membership.
It is invalid to describe fuzzy information with fuzzy set. The reason is that regarding the fuzzy membership function that is originally function of two variables in universe and state space as function of one variable in universe and describing fuzzy information with fuzzy set cannot support fuzzy membership conversion. And it causes the fuzzy mathematics that process fuzzy information using fuzzy set conversion to depend on the max-min algorithm that is not mathematical calculation and cannot make mathematical model torealize fuzzy set conversion. The consequence is that the fuzzy mathematics that deviates mathematical calculation cannot provide algorithm support for processing fuzzy information and that large amount of fuzzy information remains to be processed. The only correct approach for fuzzy mathematics to return to mathematics is to restore the fuzzy information to its true face, the classifying data in high dimensional state space and to regard processing fuzzy information as the membership conversion from membership of indicators to objectiv membership.
引文
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[3]Saaty T L.Analytical Hierarchy Process[M].University of Pittsburgh,1998.
[4]王莲芬,许树柏.层次分析法引论[M].北京:中国人民大学出版社,1990.
[5]秦寿康等.综合评价原理与应用[M].北京:电子工业出版社,2003.
[2]周东华,叶银忠[M].现代故障诊断与容错控制,北京:清华大学出版社,2000.
[3]Saaty T L.Analytical Hierarchy Process[M].University of Pittsburgh,1998.
[4]王莲芬,许树柏.层次分析法引论[M].北京:中国人民大学出版社,1990.
[5]秦寿康等.综合评价原理与应用[M].北京:电子工业出版社,2003.