数控车床可靠性分配中的单准则排序方法

发布时间：2018-03-31 07:03

本文选题：数控车床　切入点：可靠性分配　出处：《数学的实践与认识》2017年11期

【摘要】：数控车床可靠性分配模型是一个层次结构,可靠性分配的关键技术是确定结构底层指标关于顶层目标的重要度排序,其前提条件是单准则排序已知.AHP通过构造"两两比较"的"1~9"比例标度判断矩阵A_n为单准则排序提供了合理的数据条件;但是基于A_n一致性检验的特征根排序法因临界值的确定缺乏必要理论基础而受到质疑.改进AHP的FAHP因为没有摆脱"一致性检验"的干扰所以改进并不成功.为了建立与"一致性"无关的单准则排序方法定义具有可加性的评分标度概念,通过标度转换将比例标度判断矩阵A_n转化为评分标度判断矩阵B_n,利用评分标度的可加性在准则C下对n个比较对象排序.因为B_n不是正矩阵所以不存在"一致性概念",因此基于评分标度判断矩阵的排序与"一致性"无关.
[Abstract]:The reliability distribution model of NC lathe is a hierarchical structure, and the key technology of reliability distribution is to determine the ranking of the importance of the bottom index of the structure on the top level target.The precondition is that the single criterion ranking is known. AHP provides reasonable data conditions for single criterion ranking by constructing "1 / 9" scale judgment matrix A _ n of "pairwise comparison".However, the characteristic root ranking method based on an consistency test is questioned because of the lack of necessary theoretical basis to determine the critical value.The improved AHP FAHP was not successful because it was not free from the interference of "consistency checking".In order to establish a single criterion sorting method independent of "consistency", the concept of additive grading scale is defined.In this paper, the scaling judgment matrix am is transformed into the score scale judgment matrix BSP _ n by scaling conversion. N comparison objects are sorted under criterion C by using the additivity of the score scale.Because Bn is not a positive matrix, there is no "consistency concept", so the ranking of judgement matrix based on grading scale has nothing to do with "consistency".
【作者单位】：河北工程大学不确定信息研究所;河北工程大学管理工程与商学院;
【基金】：国家自然科学基金(61375003) 河北省自然科学基金(F2014402040) 河北省社会科学基金(HB16GL026) 河北省人才工程培养经费资助科研项目(A2016001120) 河北省教育厅科学研究计划项目(SD161009);河北省教育厅人文社会科学研究重大课题攻关项目(ZD201442)
【分类号】：O223;TG519.1

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