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直觉模糊序决策信息系统的分配约简
引用本文:桑彬彬,徐伟华.直觉模糊序决策信息系统的分配约简[J].计算机科学,2017,44(Z6):75-79.
作者姓名:桑彬彬  徐伟华
作者单位:重庆理工大学理学院 重庆400054,重庆理工大学理学院 重庆400054
基金项目:本文受国家自然科学基金(61105041,61472463,61402064),重庆理工大学研究生创新基金(YCX2015227,YCX2016227),重庆市研究生科研创新基金(CYS16217)资助
摘    要:在直觉模糊集概念的基础上,通过对直觉模糊数加权的方法建立一种新的序关系。利用传统的序关系和新的序关系分别建立直觉模糊序决策信息系统。然后在定义的分配函数和分配协调集的基础上,给出对应的分配约简的判定定理和辨识矩阵,进而建立直觉模糊序决策信息系统的分配约简的具体方法。最后通过实例验证该方法的有效性。

关 键 词:分配约简  直觉模糊集  序信息系统  粗糙集

Assignment Reduction of Intuitionistic Fuzzy Ordered Decision Information System
SANG Bin-bin and XU Wei-hua.Assignment Reduction of Intuitionistic Fuzzy Ordered Decision Information System[J].Computer Science,2017,44(Z6):75-79.
Authors:SANG Bin-bin and XU Wei-hua
Affiliation:School of Science,Chongqing University of Technology,Chongqing 400054,China and School of Science,Chongqing University of Technology,Chongqing 400054,China
Abstract:Based on intuitionistic fuzzy sets,a new order relation was established by weighting the intuitionistic fuzzy numbers.The intuitionistic fuzzy order decision information system was established by the traditional order relation and the new order relation respectively.Then,on the basis of the definition of assignment function and assignment of coordination sets,judgement theorem for the assignment reduction and discernibility matrixare was given in the system.Furthermore,the specific method of assignment reduction was established in an intuitionistic fuzzy ordered decision information system.Finally the effectiveness of the method is verified by an example.
Keywords:Assignment reduction  Intuitionistic fuzzy set  Ordered information system  Rough set
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