Computer Science ›› 2017, Vol. 44 ›› Issue (Z6): 75-79.doi: 10.11896/j.issn.1002-137X.2017.6A.015

Previous Articles     Next Articles

Assignment Reduction of Intuitionistic Fuzzy Ordered Decision Information System

SANG Bin-bin and XU Wei-hua   

  • Online:2017-12-01 Published:2018-12-01

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.

Key words: Assignment reduction,Intuitionistic fuzzy set,Ordered information system,Rough set

[1] VLACHOS L K,SERGIADIS G D.Intuitionistic fuzzy information:Applications to pattern recognition [J].Pattern Recognition Letters,2007,28(2):180-210.
[2] ATANASSOV K T.Intuitionistic fuzzy sets[J].Fuzzy Sets & Systems,1986,20(1):87-96.
[3] OKER,DOGAN.Fuzzy rough sets are intuitionistic L-fuzzysets [J].Fuzzy Sets & Systems,1998,96(3):381-383.
[4] NANDA S,MAJUMDAR S.Fuzzy rough sets[J].Fuzzy Sets &Systems,1992,45(2):157-160.
[5] JENSEN R,SHEN Q.Fuzzy-rough attribute reduction with application to web categorization[J].Fuzzy Sets & Systems,2004,141(3):469-485.
[6] JENSEN R,SHEN Q.Fuzzy-rough data reduction with ant colony optimization[J].Fuzzy Sets & Systems,2005,149(1):5-20.
[7] ZHOU L,WU W,ZHANG W.On characterization of intuitionistic fuzzy rough sets based on intuitionistic fuzzy implicators [J].Information Sciences,2009,179(7):883-898.
[8] 徐伟华.序信息系统与粗糙集[M].北京:科学出版社,2013.
[9] 袁修久,张文修.模糊目标信息系统的属性约简[J].系统工程理论与实践,2004,24(5):116-120.
[10] 徐伟华,柴昱洲,李坚,等.优势关系下分配约简矩阵算法的程序实现[J].重庆理工大学学报(自然科学版),2011,25(4):117-122.
[11] 张晓燕,徐伟华,张文修.序目标信息系统中分布约简的矩阵算法[J].重庆理工大学学报(自然科学版),2010,24(3):56-61.
[12] 苟光磊,王国胤.基于不协调置信优势原理关系的知识约简[J].计算机科学,2016,43(6):204-207.
[13] 刘芳,李天瑞.基于边界域的不完备信息系统属性约简方法[J].计算机科学,2016,43(3):242-245.
[14] 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.
[15] JING Y,LI T,HUANG J,et al.An incremental attribute reduction approach based on knowledge granularity under the attribute generalization[J].International Journal of Approximate Reasoning,2016,76:80-95.
[16] 鞠恒荣,杨习贝,戚湧,等.量化粗糙集的单调性属性约简方法[J].计算机科学,2015,42(8):36-39.

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!