直觉模糊信息多属性优化决策模型及其应用  

An Optimal Model for Multi-attribute Decision Making with Intuitionistic Fuzzy Information and Its Application

作　　者：谭秋月 孙平安[3] 吴迪 吴永波 TAN Qiu-yue;SUN Ping-an;WU Di;WU Yong-bo(Department of Mathematics and Computer,Wuyi College,Wuyishan 354300,China;Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China;Laboratory Management Center,Wuyi College,Wuyishan 354300,China;Shandong Zhengyuan Geological Resources Exploration Co.LTD,Jinan 250102,China;Shandong Beiguo Development Group Co.LTD,Jinan 250101,China)

机构地区：[1]武夷学院数学与计算机学院,福建武夷山354300 [2]浙江师范大学数学与计算机科学学院,浙江金华321004 [3]武夷学院实验室管理中心,福建武夷山354300 [4]山东正元地质资源勘查有限责任公司,山东济南250102 [5]山东北国发展集团有限公司,山东济南250101

出　　处：《数学的实践与认识》2022年第3期132-139,共8页Mathematics in Practice and Theory

基　　金：福建省青年教师专项(JA15515);福建省大学生创新项目(201510397029);校科技项目(x1201409)。

摘　　要：针对直觉模糊信息多属性决策中存在的问题,提出一种基于优化理论的多属性决策方法.该方法首先按照方案的属性类别确定直觉模糊“理想方案”和“负理想方案”,然后计算各方案与“理想方案”和“负理想方案”的距离,运用扩展的最小二乘方准则构造目标函数求解,建立了直觉模糊信息多属性优化决策模型.最后,通过黄河下游公路大桥超深大直径钻孔灌注桩成孔工艺优化实例进行了计算分析,得到的结果与施工单位原定的方案相符.For the problems existing in multi-attribute decision making with intuitive fuzzy information,a multi-attribute decision making method based on optimization theory is proposed.The method first determines the intuitive fuzzy"ideal scheme"and the"negative ideal scheme"according to the attribute category of the scheme,then calculates the distance from the"ideal scheme"and"negative ideal scheme",constructs the objective function using the extended least squares criterion,and establishes an optimal model for multi-attribute decision with intuitive fuzzy information.Finally,the optimization of the Ultra-deep,largediameter bored in Highway Bridge of the Lower Yellow River is analyzed and the results obtained are consistent with that planned by the construction unit.

关 键 词：直觉模糊数 多属性决策 优化模型 超深大直径钻孔灌注桩 

分 类 号：O159[理学—数学] O225[理学—基础数学]