基于多维关联函数的相似实例检索方法研究与实现  

Research and Implementation on Similar Case Retrieval Method based on Dependent Multidimensional Function

作　　者：赵燕伟[1] 何路[1] 陈尉刚[1] 洪欢欢[1] 叶永伟[1] 

机构地区：[1]浙江工业大学特种设备制造与先进加工技术教育部/浙江省重点实验室

出　　处：《数学的实践与认识》2015年第10期86-93,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(51275477);浙江省自然科学基金(LY12E05025)

摘　　要：针对多属性产品实例检索过程中存在一定的主观性问题,影响检索结果,提出一种基于多维关联函数的相似实例检索方法并开发出原型系统.首先根据多维关联函数定义,得到多维关联函数一般计算方法的求解步骤,并基于多维关联函数构建相似度函数.其次,根据客户要求设定产品各属性的重要度,结合重要度和各属性修改难度系数构建实例评价模型.最后,运用多维关联函数计算方法,Access数据库构建技术以及层次分析法构建出包含用户需求输入模块、可拓域输出模块、相似实例检索模块和实例评价模块的原型系统,实现实例输出.以大型螺杆空压机为例来构建基于多维关联函数的相似实例检索系统,验证此理论方法的正确性与可行性.In order to solve the problem about subjectivity in the process of searching the most similar multi-attributes product, a method for searching similar case based on dependent multidimensional function and its prototype was developed. Firstly, the steps of computing multidimensional dependent function according to its definition, and the similarity function based multidimensional dependent function is constructed. Secondly, attributes＇ importance are identified depend on customers＇ requirements, case evaluation model is constructed according to the attributes＇ importance and difficulty coefficient of modification. Lastly, the theory to calculate multidimensional function, database construction technology by Access and analytic hierarchy process are combined to develop＇a prototype system, it contains four modules, they are requirements input module, extension domain output module, case-based reasoning module and case evaluation module. In this paper, screw air compressor is taken as an example to verify its feasibility.

关 键 词：多维关联函数 实例检索 系统开发 

分 类 号：O212.1[理学—概率论与数理统计] F274[理学—数学] TP391.3[经济管理—企业管理]