| 集值模糊目标信息系统的近似分配约简 |
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| 引用本文： | 陈子春,秦克云.集值模糊目标信息系统的近似分配约简[J].四川师范大学学报(自然科学版),2011,34(1). |
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| 作者姓名： | 陈子春 秦克云 |
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| 作者单位： | 1. 西华大学数学与计算机学院,四川,成都,610039;西南交通大学,数学学院,四川,成都,610031
2. 西南交通大学,数学学院,四川,成都,610031 |
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| 基金项目： | 国家自然科学基金(60474022); 四川省教育厅科研基金(10ZC058)资助项目; 西华大学重点实验室基金(XZD0818-09)对本文给予了资助 |
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| 摘 要： | 基于集值信息系统上的变精度相容关系,定义了集值模糊目标信息系统的模糊目标在给定相容水平下的上近似与下近似,提出了一定截集水平下的上近似分配约简与下近似分配约简概念,这种约简是单值目标模糊信息系统上精度约简概念的推广,同时也是经典目标信息系统上近似分配约简概念的推广.进一步,在集值模糊目标信息系统引入区分矩阵与区分函数,给出了计算上近似分配约简与下近似分配约简的方法.
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| 关 键 词： | 集值模糊目标信息系统 变精度相容关系 近似分配约简 区分矩阵 |
Approximate Assignment Reduction in Set-valued Fuzzy Decision Information System |
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| CHEN Zi-chun,QIN Ke-yun.Approximate Assignment Reduction in Set-valued Fuzzy Decision Information System[J].Journal of Sichuan Normal University(Natural Science),2011,34(1). |
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| Authors: | CHEN Zi-chun QIN Ke-yun |
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| Institution: | CHEN Zi-chun1,2,QIN Ke-yun2(1.School of Mathematics and Computer,Xihua University,Chengdu 610039,Sichuan,2.Department of Mathematics,Southwest Jiaotong University,Chengdu 610031,Sichuan) |
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| Abstract: | In this paper,we first define fuzzy upper and fuzzy lower approximates of fuzzy decision attribute based on variable precision tolerance relation in set-valued information system,a concept of upper approximate and lower approximate assignment reductions under cut-level is proposed.This reduction is an extension of the precision reduction in single-valued fuzzy decision information systems as well as the assignment reduction in classical decision information systems.Furthermore,we discuss upper approximate a... |
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| Keywords: | set-valued fuzzy decision information systems variable precision tolerance relation approximate assignment reduction discernibility matrix |
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