Computer Science ›› 2016, Vol. 43 ›› Issue (1): 44-48.doi: 10.11896/j.issn.1002-137X.2016.01.010

Previous Articles     Next Articles

Study on Model of Covering-based Rough Intuitionistic Fuzzy Sets

XUE Zhan-ao, SI Xiao-meng, ZHU Tai-long and WANG Nan   

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

Abstract: It is a hot research topic for the combination of rough sets and intuitionistic fuzzy sets.In this paper,the concept of fuzzy covering-based rough membership and non-membership were defined based on the rough sets theory,intuitionistic fuzzy sets theory and covering theory.The relationships between the memberships and non-memberships of the elements themselves and the minimal descriptions of elements w ere taken into full account.Then two new models were established,which are covering-based rough intuitionistic fuzzy sets model and covering-based rough interval-valued intuitionistic fuzzy sets model.And their properties were proved.At the same time,a new similarity measure formula was proposed in the intuitionistic fuzzy sets,and we used an example to illustrate its application.

Key words: Intuitionistic fuzzy sets,Rough sets,Fuzzy covering-based rough membership,Similarity measure formula of the intuitionistic fuzzy sets

[1] Pawlak Z.Rough sets[J].International Journal of Computer and Information Sciences,1982,11(5):341-356
[2] Zadeh L A.Fuzzy sets[J].Information and Control,1965,8(3):338-353
[3] Atanassov K T.Intuitionistic fuzzy Sets[J].Fuzzy Sets and Systems,1986,20(1):87-96
[4] Atanassov K T.New operations defined over the intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1994,61(2):137-142
[5] Atanassov K T.More on intuitionistic fuzzy sets[J].Fuzzy sets and systems,1989,3(1):37-45
[6] Zhang Qing-hua,Wang Jin,Wang Guo-yin.The approximation representation of rough-fuzzy sets[J].Chinese Journal of Computer,2014,38(7):1-13(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,2014,38(7):1-13
[7] Xue Zhan-ao,Cheng Hui-ru,Huang Hai-song,et al.Rough approximations of intuition fuzzy sets in fuzzy approximation space[J].Computer Science,2013,40(4):221-226(in Chinese)薛占熬,程惠茹,黄海松,等.模糊空间中的直觉模糊粗糙近似[J].计算机科学,2013,40(4):221-226
[8] Xia M,Xu Z.Entropy/cross entropy-based group decision ma-king under intuitionistic fuzzy environment[J].Information Fusion,2012,13(1):31-47
[9] Xu Z,Hu H.Projection models for intuitionistic fuzzy multiple attribute decision making[J].International Journal of Information Technology & Decision Making,2010,9(2):267-280
[10] Zhou L,Wu W Z.On generalized intuitionistic fuzzy rough approximation operators[J].Information Sciences,2008,8(11):2448-2465
[11] Szmidt E,Kacprzyk J.Distance between intuitionistic fuzzy sets and their applications in reasoning[M]∥Studies in Computational Intelligence.2005:101-116
[12] Lin Meng-lei.A Characterization for Intuitionistic Fuzzy SetsBased on the Assistant Sets Generated by S-Rough Set[M]∥Advances in Soft Computing.2009:627-637
[13] Jena S P,Ghosh S K.Inituitionistic fuzzy rough sets[J].Notes on Inituitionistic Fuzzy Sets,2002,8(1):1-18
[14] Zhu W.Relationship between generalized rough sets based onbinary relation and covering[J].Information Sciences,2009,179(3):210-225
[15] Wei Lai,Miao Duo-qian,Xu Fei-fei,et al.Research on a covering rough fuzzy set model[J].Journal of Computer Research and Development,2006,43(10):1719-1723(in Chinese)魏莱,苗夺谦,徐菲菲,等.基于覆盖的粗糙模糊集模型研究[J].计算机研究与发展,2006,43(10):1719-1723
[16] Hu Jun,Wang Guo-yin,Zhang Qing-hua.Covering Based Generalized Rough Fuzzy Set Model[J].Journal of Software,2010,21(5):968-977(in Chinese)胡军,王国胤,张清华.一种覆盖粗糙模糊集模型[J].软件学报,2010,21(5):968-977
[17] Tang Jian-guo,She Kun,Zhu Feng.A new type of overing-based rough fuzzy set model[J].Control and Decision,2012,27(11):1652-1662(in Chinese)汤建国,佘堃,祝峰.一种新的覆盖粗糙模糊集模型[J].控制与决策,2012,27(11):1652-1662
[18] Zhang Zhi-ming,Bai Yun-chao,Tian Jing-feng.Intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings[J].Control and Decision,2010,25(9):1369-1373(in Chinese)张植明,白云超,田景峰.基于覆盖的直觉模糊粗糙集[J].控制与决策,2010,25(9):1369-1373
[19] Bonikowski Z,Bryniarski E,Wybraniec-Skardowska U.Extensions and intentions in the rough set theory[J].Information Sciences,1998,107(1):149-167
[20] Wang Yan-ping,Sun Jing,Chen Mei-wei.Interval-valued intui-tionistic fuzzy rough sets based on coverings [J].Computer Engineering and Applications,2013,49(2):155-156(in Chinese)王艳平,孙静,陈美巍.基于覆盖的区间直觉模糊粗糙集[J].计算机工程与应用,2013,49(2):155-156
[21] Atanassov K T.Operators over interval valued intuitionisticfuzzy Sets[J].Fuzzy Sets and Systems,1994,64(2):159-174
[22] Pawlak Z.Rough sets:Theoretical aspects of reasoning about data[M].Boston:Kluwer Academic Publishers,1991:1-79

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!