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基于未确知集合的故障诊断方法
引用本文:刘开第,曹庆奎,庞彦军.基于未确知集合的故障诊断方法[J].自动化学报,2004,30(5):747-756.
作者姓名:刘开第  曹庆奎  庞彦军
作者单位:1.河北工程学院不确定性数学研究所,邯郸
基金项目:国家自然科学基金(60075013),河北省自然科学基金(601312,602407)资助~~
摘    要:为了定量描述对象具有未确知性质或处于未确知状态的程度,在可测空间上定义了满 足测量准则的未确知测度慨念.以未确知测度为隶属函数抽象出论域上的未确知集合概念,定 义未确知集合的运算.通过论证未确知集和模糊集之间的关系与本质不同,体现研究这种新的 不确定性集合的价值.在未确知集合基础上,建立了未确知逻辑系统,用以处理未确知信息.定 义了指标分类权重的概念,给出了计算方法,并将其应用于未确知逻辑系统推理算法中,使得到的 合成可信度具有良好的可解释性.以故障诊断领域中一个算例作为未确知逻辑系统的应用实例.

关 键 词:模糊集    未确知集    未确知逻辑系统    指标分类权重    故障诊断
收稿时间:2003-7-2
修稿时间:2003年7月2日

A Method of Fault Diagnosis Based on Unascertained Set
LIU Kai-Di,CAO Qing-Kui,PANG Yan-Jun.A Method of Fault Diagnosis Based on Unascertained Set[J].Acta Automatica Sinica,2004,30(5):747-756.
Authors:LIU Kai-Di  CAO Qing-Kui  PANG Yan-Jun
Affiliation:1.Institute of Uncertainty Mathematics,Hebei Institute of Engineering,Handan
Abstract:In order to describe quantitatively the degree of possessing the unascertained nature or the degree of being in the unascertained state, a concept of unascertained measure satisfying measure criteria in the measuable space is defined. Then it is used as a membership function, and based on it, the concept of unascertained set in domain is introduced, the operations of the unascertained set are defined. The usefulness of the new uncertainty set is illustrated via discussing the relationship and essential difference between the unascertained set and the fuzzy set. On the basis of unascertained set, an unascertained logic system is set up, and it can be used to deal with the uncertain information. A new concept, weight of index classification, is defined, its calculation method is given, and is applied to the reasoning algorithm in the unascertained logic system, which makes the complex reliability well explicable. Finally, an example in fault diagnosis is presented to show the effectiveness of the proposed unascertained logic system.
Keywords:Fuzzy set  unascertained set  unascertained logic system  weight of classification of index  fault diagnosis  
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