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基于IFSM改进水平软集的群决策方法
引用本文:赵妍,吴涛,钱庆庆,赵蓝天.基于IFSM改进水平软集的群决策方法[J].合肥学院学报(自然科学版),2013(4):18-23.
作者姓名:赵妍  吴涛  钱庆庆  赵蓝天
作者单位:[1]安徽大学数学科学学院,合肥230601 [2]安徽大学计算智能与信号处理教育部重点实验室,合肥230039
基金项目:国家自然科学基金项目(71371011)、安徽省高等学校省级自然科学研究重点项目(KJ2013A033)资助.
摘    要:研究了在直觉模糊软矩阵环境下改进水平软集的群决策方法.首先利用直觉模糊软矩阵给出了在专家权重未知情况下的集成算法,并对λmid(E)-水平软集进行改进,提出了λnew(E)-水平软集;同时对λmed(E)-水平软集进行改进,提出了三均值水平软集.然后利用水平软集计算各对象的选择值,得出最优决策.最后,通过实例验证了决策方法的可行性和合理性.

关 键 词:直觉模糊软矩阵  λnew(E)-水平软集  三均值水平软集  集成方法  群决策

Group Decision Making Method of Improved Level Soft Set Based on IFSM
ZHANO Yan,WU Tao,QIAN Qing-qing,ZHAO Lan-tian.Group Decision Making Method of Improved Level Soft Set Based on IFSM[J].Journal of Hefei University :Natural Sciences,2013(4):18-23.
Authors:ZHANO Yan  WU Tao  QIAN Qing-qing  ZHAO Lan-tian
Institution:(a. School of Mathematical Sciences, Anhui University, Hefei 230601, b. Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education, Anhui University, Hefei 230039, China)
Abstract:Group decision making method of improved level soft set under intuitionistic fuzzy soft matrix environment is studied. Firstly, giving an aggregation method of IFSM which the expert' s weight is unknown , and the λmed(E) level soft set is proposed based on the λmed(E) level soft set; meanwhile, three average level soft set is presented based on the λmed(E) level soft set. Then calculate the choice value of every alternatives by use of the level soft set to obtain the optimal decision. Finally, a practical example has been demonstrated the reasonability and feasibility of the methods.
Keywords:IFSM  the λmed(E) level soft set  three average level soft set  aggregation method  group decision making method
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