基于模糊层次分析的足楦匹配算法在鞋楦定制中的应用  

Application of FAHP-based foot-last matching algorithm to customized shoe-last

作　　者：任怀艺[1] 王伯雄[1] 罗秀芝[1] 

机构地区：[1]清华大学精密仪器系精密测试技术及仪器国家重点实验室,北京100084

出　　处：《光学精密工程》2014年第6期1677-1685,共9页Optics and Precision Engineering

基　　金：国家自然科学基金资助项目(No.11274199)

摘　　要：针对现有的鞋楦定制技术没有完善的足楦匹配算法及衡量指标等问题,提出了基于模糊层次分析法(FAHP)的足楦匹配算法,通过计算鞋楦数据库中的鞋楦与足部的匹配值来决定技术路径。首先,提取8个足楦特征参数作为FAHP的准则来衡量足楦匹配情况,采用三角模糊数计算足楦特征参数的匹配值;根据各特征参数对成鞋舒适性的影响以及变形设计难易程度建立成对比较阵。然后,通过求解最大特征值的特征向量得到各参数对足楦匹配度值的权重。最后,计算出足楦匹配度值并选择技术路径。给出了足楦匹配度值计算实例,求解得到其值为0.69。结合阈值0.50、鞋楦定制标准0.80,说明该鞋楦与足部不完全匹配,但可作为变形修改设计的基础母楦。该方法可将基于鞋楦数据库的鞋楦定制与直接基于足部3D形貌的无实体楦造型等方法结合到一个系统中,提高量足制鞋的效率,降低定制成本。As existing customized shoe-last technologies are lock of perfect foot-last matching algorithm and measurement indexes, this paper proposes a foot-last matching algorithm based on Fuzzy Analytic Hierarchy Process （FAHP）. The technological paths were selected through calculating the Matching Degree （MD） value between the customers＇ feet and the shoe-lasts from the database. First, eight foot-last characteristic parameters were extracted as the criterion layer of the FAHP to measure the matching of shoe lasts and the triangular fuzzy numbers were employed to calculate the MD value of the parameters between foot and shoe-last. Then, according to the effect of these characteristic parameters on shoe＇s comfort and the difficulty of meeting these parameters in the deformation design process, two pairs of comparison matrices were established. The weights of these eight parameters were obtained by solving the corresponding eigenvectors of the maximum eigenvalue of the two matri-ces. Finally, the MD value was calculated and the best path was decided. With this method, a case was presented with a calculated MD value equal to 0. 69. Compared to the threshold value 0.50 and the customized shoe-last standard value of 0.80, it points out that this shoe-last is not the customized one but a mother shoe-last that can be deformed for better fit and comfort. This method can join the customized shoe-last technological path based on shoe-last database and the direct path based on 3D foot data to increase the efficiency for customizing shoe-lasts and to reduce the cost.

关 键 词：模糊层次分析法 足楦匹配算法 鞋楦定制 三角模糊数 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术] TS943.2[自动化与计算机技术—计算机科学与技术]