基于质量屋矩阵分解的设计问题简化方法的研究

针对质量屋(HOQ)的用户需求与产品工程性能关系矩阵以及产品工程性能的互相关矩阵的不同特点，提出一种对HOQ矩阵进行分解的方法。首先根据工程性能的互相关矩阵采用模糊聚类的方法，在给定某一阈值的情况下得到对工程性能的一种分类，并由此确定最后分解的模块数，在此基础上，基于惟一且满意度最大的原则，即每一个用户需求仅属于某一且惟一一个模块。并使分解得到的各模块中所包含关系系数之和为最大，将对用户需求与工程性能的关系矩阵的分解转化为一个带约束的整型规划问题。从而将基于HOQ的复杂的设计问题简化为一个个小模块的设计。

Reduction of Complex Design Problem Based on Decomposition of HOQ Matrix

Considering the different characteristics of the relation matrix of customer requirements(CR) and engineering performances(EP) and the correlation matrix of engineering performances, a decomposition approach for the house of quality(HOQ) matrix is proposed First, on the basis of the correlation matrix of engineering performances, the fuzzy cluster method is applied to group the engineering performances under certain threshold and the number of the final modules is then determined Based on above and conforming to the unique criterion and maximization criterion of the satisfaction which mean that every customer requirement should be included in one and only one of the modules and the sum of the relation coefficients included in the modules should be maximum, the decomposition of the relation matrix of the customer requirements and the engineering performances is converted into an integer optimization question subject to certain constraints, thus complex design problem based on HOQ matrix is decomposed into the design of several simple modules