基于模糊商空间理论的产品粒化过程分析  

Granulating process analysis of products based on the theory of fuzzy quotient space

作　　者：张萌[1] 李国喜[1] 龚京忠[1] 吴宝中[1] 

机构地区：[1]国防科技大学机电工程与自动化学院,湖南长沙410073

出　　处：《国防科技大学学报》2012年第6期181-186,共6页Journal of National University of Defense Technology

基　　金：国家部委资助项目

摘　　要：模块形成与划分是展开模块化设计及大规模定制生产的关键环节。为了进一步扩展产品模块化的定量分析手段,提出了一种基于模糊商空间理论的产品粒化方法。通过引入粒度计算,将基于相关性分析的产品模块化过程转化为基于粒度计算的产品粒化过程,并应用模糊商空间理论对其进行了分析,给出了基于归一化距离和综合模糊相似关系的产品粒度空间构建方法,建立了基于两阶段优化算法的最佳产品粒层确定流程,进而得到了最优模块划分方案,最后以某堆垛机货叉机构为例对该方法进行了有效性验证。此方法为产品模块聚类与优化提供了一种新的数值分析和评价手段,应用结果表明该方法具有一定的可行性和合理性,能够有效指导产品模块化过程的实施。Module identification plays an important role in modular design and mass customization. In order to further extend the quantitative methodology for product modularization, an approach to product granulation based on the theory of fuzzy quotient space was proposed. The traditional product modularization based on the relativity analysis was translated into the product granulation by introducing the granular computing method, and the product granulation was analyzed by the theory of fuzzy quotient space. The product granular space was established based on the normalized distance and the integrated fuzzy similarity relation, and the optimal granular layer was obtained using a two-stage optimization algorithm. Then the optimal modularization scheme was achieved. A case of the telescopic shuttle mechanism of automatic storage/retrieval machine was studied to illustrate the validity of the proposed method. This approach offers a new way of numerical analysis and evaluation for module identifying and optimizing, and the application result shows that the proposed method is feasible and rational, which can guide the product modularization process effectively.

关 键 词：模糊商空间 产品粒化 分层递阶结构 产品粒度空间 最佳产品粒层 

分 类 号：TH122[机械工程—机械设计及理论]