[1]SHI Derong,XU Weihua.Partially consistent reduction in interval-valued fuzzy ordered decision information system[J].CAAI Transactions on Intelligent Systems,2016,11(4):469-474.[doi:10.11992/tis.201606013]
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Partially consistent reduction in interval-valued fuzzy ordered decision information system

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 11 Number of periods: 2016 4 Page number: 469-474 Column: 学术论文—智能系统 Public date: 2016-07-25
Title:
Partially consistent reduction in interval-valued fuzzy ordered decision information system
Author(s):
SHI Derong;  XU Weihua
School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, China
Keywords:
rough set; ordered information system; partially consistent reduction; recognizable matrix; interval-valued
CLC:
TP18
DOI:
10.11992/tis.201606013
Abstract:
In practical problems, some attribute-values of things are within a certain range and this is often used to describe uncertainties in an information system. The attribute-value is often expressed by a fuzzy interval, and the information system in this case is then called an interval-valued fuzzy information system. This paper establishes an interval-valued fuzzy decision ordered information system by introducing dominance relationships. This partially consistent function was built to simplify knowledge expression. A judgment theorem for partially consistent reduction was obtained, and from the recognizable attribute set and recognizable matrix, a partially consistent reduction method for an inconsistent interval-valued fuzzy ordered information system was derived. Furthermore, by combination with a specific case study on venture investment, the significance of partially consistent reduction is explained. This experiment enriches the rough set method for interval-valued fuzzy ordered decision information systems.
References:
[1] PAWLAK Z. Rough sets:theoretical aspects of reasoning about data[M]. Boston:Kluwer Academic Publishers, 1991.
[2] PAWLAK Z, GRZYMALA-BUSSE J, SLOWINSKI R, et al. Rough sets[J]. Communications of the ACM, 1995, 38(11):89-95.
[3] 王珏, 苗夺谦, 周育健. 关于Rough Set理论与应用的综述[J]. 模式识别与人工智能, 1996, 9(4):337-344.WANG Jue, MIAO Duoqian, ZHOU Yujian. Rough set theory and its application:a survey[J]. Pattern recognition and artificial intelligence, 1996, 9(4):337-344.
[4] 苗夺谦, 王珏. 基于粗糙集的多变量决策树构造方法[J]. 软件学报, 1997, 8(6):425-431.MIAO Duoqian, WANG Jue. Rough sets based approach for multivariate decision tree construction[J]. Journal of software, 1997, 8(6):425-431.
[5] 张小红, 裴道武, 代建华. 模糊数学与Rough集理论[M]. 北京:清华大学出版社, 2013. ZHANG Xiaohong, PEI Daowu, DAI Jianhua. Fuzzy mathematics and the rough set theory[M]. Beijing:Tsinghua University Press, 2013.
[6] 徐伟华, 张先韬, 王巧荣. 序信息系统中变精度粗糙集属性约简的MATLAB实现[J]. 重庆理工大学学报:自然科学版, 2013, 27(1):107-115.XU Weihua, ZHANG Xiantao, WANG Qiaorong. Experimental computing on attribute reduction by Matlab in dominance-based variable precision rough set[J]. Journal of Chongqing university of technology:natural science, 2013, 27(1):107-115.
[7] 张文修, 米据生, 吴伟志. 不协调目标信息系统的知识约简[J]. 计算机学报, 2003, 26(1):12-18. ZHANG Wenxiu, MI Jusheng, WU Weizhi. Knowledge reductions in inconsistent information systems[J]. Chinese journal of computers, 2003, 26(1):12-18.
[8] 徐伟华, 张文修. 基于优势关系下不协调目标信息系统的知识约简[J]. 计算机科学, 2006, 33(2):182-184.XU Weihua, ZHANG Wenxiu. Knowledge reductions in inconsistent information systems based on dominance relations[J]. Computer science, 2006, 33(2):182-184.
[9] 韦碧鹏, 吕跃进, 李金海. 优势关系下粗糙集模型的属性约简[J]. 智能系统学报, 2014, 9(2):251-258. WEI Bipeng, LV Yuejin, LI Jinhai. attribute reduction based on the rough set model under α dominance relation[J]. CAAI transactions on intelligent systems, 2014, 9(2):251-258.
[10] 张文修, 梁怡, 吴伟志. 信息系统与知识发现[M]. 北京:科学出版社, 2003. ZHANG Wenxiu, LIANG Yi, WU Weizhi. Information system and knowledge discovery[M]. Beijing:Science Press, 2003.
[11] 张楠, 苗夺谦, 岳晓冬. 区间值信息系统的知识约简[J]. 计算机研究与发展, 2010, 47(8):1362-1371. ZHANG Nan, MIAO Duoqian, YUE Xiaodong. Approaches to knowledge reduction in interval-valued information system[J]. Journal of computer research and development, 2010, 47(8):1362-1371.
[12] 于莹莹, 曾雪兰, 孙兴星. 优势关系下的区间值信息系统及其属性约简[J]. 计算机工程与应用, 2011, 47(35):122-124.YU Yingying, ZENG Xuelan, SUN Xingxing. Interval-valued information system based on dominance relation and its attribute reduction[J]. Computer engineering and applications, 2011, 47(35):122-124.
[13] GRECO S, MATARAZZO B, SLOWINSKI R. Rough approximation of a preference relation by dominance relations[J]. European journal of operational research, 1999, 117(1):63-83.
[14] 徐伟华, 张文修. 基于优势关系下的协调近似空间[J]. 计算机科学, 2005, 32(9):164-165.XU Weihua, ZHANG Wenxiu. Consistent approximation spaces based on dominance relations[J]. Computer science, 2005, 32(9):164-165.
[15] 徐伟华. 序信息系统与粗糙集[M]. 北京:科学出版社, 2013. XU Weihua. Ordered information systems and rough sets theory[M]. Beijing:Science Press, 2013.
[16] 徐伟华, 张晓燕, 张文修. 优势关系下不协调目标信息系统的部分一致约简[J]. 模糊系统与数学, 2009, 23(6):155-161. XU Weihua, ZHANG Xiaoyan, ZHANG Wenxiu. Partially consistent reduction in inconsistent information systems based on dominance relations[J]. Fuzzy systems and mathemATics, 2009, 23(6):155-161.
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