• 智能信息处理 •

### 模糊信息系统中基于OWA算子的模糊粗糙集模型

1. 四川师范大学基础教学学院 成都610068,西南交通大学数学学院 成都610031
• 出版日期:2018-12-01 发布日期:2018-12-01
• 基金资助:
本文受国家青年科学基金项目(61203285),四川省教育厅科研项目(11ZB068),四川师范大学重点研究课题资助

### Fuzzy Rough Set Model Based on OWA Operator in Fuzzy Information System

YANG Ji-lin and QIN Ke-yun

• Online:2018-12-01 Published:2018-12-01

Abstract: In the fuzzy information system,attribute value is not an uncertain value,it is a membership function.Therefore,differences between objects are aggregated by the ordered weighted averaging (OWA) operator for all the attri-butes,which characterizes the similarity of objects.Then similar degree of objects was defined and the related properties were discussed.According to the similar degree of objects,the membership degree of an object which belongs to lower and upper approximations was given by logic relations and function operations.Finally,experimental results show that the similarity of objects can be accurately characterized by the similar degree of objects.Moreover,every object belonging to the lower and upper approximation sets can be more visually and reasonably described by membership degrees of every object for lower and upper approximations.Meanwhile,the description of the rough set can be more reasonable.

 [1] Pawlak Z.Rough set [J].International Journal of Computer and Information Sciences,1982,11:341-356 [2] Zhang Wen-xiu,Liang Yi,Wu Wei-zhi.Information system and knowledge discovery [M].Beijin:Science press,2003(in Chinese) 张文修,梁怡,吴伟志.信息系统与知识发现[M].北京:科学出社,2003 [3] Hu Shou-song,He Ya-qun.Theory and application of rough decision [M].Beijin:Beihang University Press,2006:232-239(in Chinese) 胡寿松,何亚群.粗糙决策理论与应用[M].北京:北京航空航天大学出版社,2006:232-239 [4] Dubois D,Prade H.Rough fuzzy sets and fuzzy rough sets [J].International Journal of General Systems,1990,17(2/3):191-209 [5] Miao Duo-qian,Li De-yi,Yao Yi-yu,et al.Uncertainty and granular computing [M].Beijin:Science press,2011(in Chinese) 苗夺谦,李德毅,姚一豫,等.不确定性与粒计算[M].北京:科学出社,2011 [6] Zhang Qing-hua,Wang Guo-yin,Xiao Yu.Approximation Sets of Rough Sets[J].Journal of Software,2012,3(7):1745-1759(in Chinese) 张清华,王国胤,肖雨.粗糙集的近似集[J].软件学报,2012,23(7):1745-1759 [7] Zhang Qing-hua,Wang Jin,Wang Guo-yin.The approximate re-presentation of rough-fuzzy sets[J].Chinese Journal of Computers,2015,38(7):1484-1496(in Chinese) 张清华,王进,王国胤,粗糙模糊集的近似表示[J].计算机学报,2015,38(7):1484-1496 [8] Feng Nan-ping,Zhou Lei.One method of fuzzy attribute reduction based on similarity degree comparison [J].Fuzzy Systems and Mathematics,2014,28(4),64-170(in Chinese) 冯楠坪,周磊.一种基于相似度比较的模糊属性约简方法[J].模糊系统与数学,2014,28(4):164-170 [9] Yang Ji-lin,Qin Ke-yun.Improved fuzzy tolerance relation in the fuzzy information system [J].Journal of Chinese Computer Systems,2014,35(9):2131-2135(in Chinese) 杨霁琳,秦克云.模糊信息系统中一种改进的模糊相容关系[J].小型微型计算机系统,2014,35(9):2131-2135 [10] Yager R R.Generalized OWA aggregation operators [J].Fuzzy Optimization and Decision Making,2004,3(1):93-107
 No related articles found!
Viewed
Full text

Abstract

Cited

Shared
Discussed