结构方案设计模糊多属性决策的灰色关联度方法  

Grey relation degree approach to fuzzy multiple attribute decision-making for structural scheme design

作　　者：吕大刚[1] 王力[1] 张鹏[2] 王光远[1] 

机构地区：[1]哈尔滨工业大学土木工程学院,哈尔滨150090 [2]西南石油大学建筑工程学院,成都610500

出　　处：《哈尔滨工业大学学报》2007年第6期841-844,共4页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金资助项目(50378030;59895410);黑龙江省自然科学基金资助项目(E00-01);黑龙江省博士后科研启动基金资助项目

摘　　要：在结构的方案设计中,结构方案的属性信息通常是不完全的,或者说是未确知的.为此,建立了结构方案设计的模糊多属性决策模型,给出了属性模糊满意度矩阵的确定方法,以有效地处理模糊信息.为了克服直接采用欧式距离确定偏好最优方案的缺点,提出了一个基于灰色关联度的模糊多属性决策方法,并给出了具体的求解程序.以某大跨空间结构方案设计为例,说明了结构设计方案优选的决策过程.实例应用的结果表明,提出的方法可以有效地处理不确定性环境下结构方案的优选决策问题.In structural scheme design, the attribute information of structural schemes is usually incomplete, or unascertain. So a mathematical model of fuzzy multiple attribute decision - making for structural form selection is built up, and then, a method of determining the fuzzy satisfaction degree matrix of the attributes of structural forms is put forward to effectively process the fuzzy information. To get over the shortcomings of determining the optimal preferred scheme directly through Euclid distance, a fuzzy multiple attribute decision - making method based on grey relation degree is proposed. The decision making process of selecting the optimal structural scheme is demonstrated by taking large -span spatial structures as a practical example. The results show that the method proposed can effectively solve the problem of the choice of the optimal structural scheme in the uncertain environment.

关 键 词：方案设计 模糊多属性决策 模糊满意度 灰色关联度 灰色系统 模糊信息 未确知信息 软计算 

分 类 号：TU311.41[建筑科学—结构工程] TP183[自动化与计算机技术—控制理论与控制工程]