Computer Science ›› 2017, Vol. 44 ›› Issue (1): 90-94.doi: 10.11896/j.issn.1002-137X.2017.01.017

Previous Articles     Next Articles

Multigranulation Covering Rough Intuitionistic Fuzzy Sets Model Based on Minimal and Maximal Descriptions

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

  • Online:2018-11-13 Published:2018-11-13

Abstract: Covering rough sets and intuitionistic fuzzy sets,which have strong complementary,are the basic theories of dealing with uncertainty.It is a hot research topic to combine covering rough sets and intuitionistic fuzzy sets.In this paper,the combination of multigranularity covering rough sets and intuitionistic fuzzy sets was studied.Firstly,minimal and maximal descriptions,which are extended from single granulation to multigranulation,were proposed based on multigranulation,and the fusion of multigranularity was discussed.Secondly,the concept of fuzzy covering rough membership and non-membership was defined on minimal and maximal descriptions respectively.Then,two new models were structured,which are multigranulation covering rough intuitionistic fuzzy sets based on minimal description and multigranulation covering rough intuitionistic fuzzy sets based on maximal description,and their properties were discussed and illustrated with examples.Finally,the relationships of the two models were researched.This study provides a new method for the combination of multigranulation covering rough sets and intuitionistic fuzzy sets.

Key words: Multigranulation covering rough sets,Intuitionistic fuzzy sets,Minimal description,Maximal description,Fusion

[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] ATANSSOV K T.Intuitionistic fuzzy sets [J].Fuzzy Sets and Systems,1986,20(1):87-96.
[4] ATANSSOV K T.New operations defined over the intuitionistic fuzzy sets [J].Fuzzy Sets and Systems,1994,61(2):137-142.
[5] ATANSSOV K T.More on intuitionistic fuzzy sets [J].Fuzzy Sets and Systems,1989,3(1):37-45.
[6] YU H,LIU Z G,WANG G Y.An automatic method to determine the number of clusters using decision-theoretic rough set [J].International Journal of Approximate Reasoning,2014,55(1):101-115.
[7] WANG S P,ZHU Q X,ZHU W,et al.Graph and matrix ap-proaches to rough sets through matroids [J].Information Sciences,2014,288:1-11.
[8] MEI J P,CHEN L H.Fuzzy clustering with weighted Medoids for relational data [J].Pattern Recognition,2010,43(5):1964-1974.
[9] YAO Y Q,MI J S,LI Z J.A novel variable precision (θ,σ)-fuzzy rough set model based on fuzzy granules [J].Fuzzy Sets and Systems,2014,236(1):58-72.
[10] LIN Y.Intuitionistic fuzzy rough set model based on conflict distance and applications [J].Applied Soft Computing,2015,31(2):266-273.
[11] ZHANG X H,BING Z,PENG L.A general frame for intuitionistic fuzzy rough sets [J].Information Sciences,2012,216(24):34-49.
[12] ZHANG Z M.A rough set approach to intuitionistic fuzzy soft set based decision making [J].Applied Mathematical Modelling,2012,36(10):4605-4633.
[13] HUANG B,LI H X,WEI D K.Dominance-based rough setmodel in intuitionistic fuzzy information systems [J].Know-ledge-Based Systems,2012,28(28):115-123.
[14] WEI Lai,MIAO Duo-qian,XU Fei-fei,et al.Research on a co-vering 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.
[15] HU Jun,WANG Guo-yin,ZHANG Qing-hua.Covering basedgeneralized 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.
[16] 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.
[17] 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.
[18] QIAN Y H,LIANG J Y,YAO Y Y,et al.MGRS:A multi-gra-nulation rough set [J].Information Sciences,2010,180(6):949-970.
[19] QIAN Y H,LIANG J Y,DANG C Y.Incomplete multi-granulation rough set [J].IEEE Transactions on Systems,Man and Cybernetics,Part A:Systems and Humans,2010,40(2):420-431.
[20] QIAN Y H,LIANG J Y,WEI W.Pessimistic rough decision[J].Zhejiang Ocean University (Natural Science),2010,0(5):440-449.
[21] ZHANG Ming,TANG Zhen-ming,XU Wei-yan,et al.Variable multigranulation rough set model [J].Pattern Recognition and Artificial Intelligence,2012,25(4):709-720.(in Chinese) 张明,唐振民,徐维艳,等.可变多粒度粗糙集模型[J].模式识别与人工智能,2012,5(4):709-720.
[22] LUI Cai-hui.Covering-based multigranulation rough set model based on minimal description of elements [J].Computer Scien-ce,2013,40(12):64-67.(in Chinese) 刘财辉.一种元素最大描述下的多粒度覆盖粗糙集模型[J].计算机科学,2013,40(12):64-67.
[23] HUANG Jing,LI Jin-jin.Covering rough sets model based on multi-granulation of minimal description [J].Computer engineering and Application,2013,49(9):134-149.(in Chinese) 黄婧,李进金.最小描述的多粒度覆盖粗糙集模型[J].计算机工程与应用,2013,49(9):134-149.
[24] GUO Yu-ting,LI Jin-jin,LI Ke-dian,et al.Multi- granulationcovering rough-intuitionistic fuzzy set model [J].Journal of Nanjing University (Natural Sciences),2015,51(2):438-446.(in Chinese) 郭郁婷,李进金,李克典,等.多粒度覆盖粗糙直觉模糊集模型[J].南京大学学报(自然科学版),2015,51(2):438-446.
[25] BONIKOWSKI Z,BRYNIARSKI E,WYBRANIEC-SKARDO-WSKA U.Extensions and intentions in the rough set theory [J].Information Sciences,1998,107(1):149-167.
[26] ZHU W,WANG F Y.Reduction and axiomization of covering generalized rough sets [J].Information Sciences,2003,152(1):217-230.
[27] 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   
[1] LEI Li-hui and WANG Jing. Parallelization of LTL Model Checking Based on Possibility Measure[J]. Computer Science, 2018, 45(4): 71 -75, 88 .
[2] XIA Qing-xun and ZHUANG Yi. Remote Attestation Mechanism Based on Locality Principle[J]. Computer Science, 2018, 45(4): 148 -151, 162 .
[3] LI Bai-shen, LI Ling-zhi, SUN Yong and ZHU Yan-qin. Intranet Defense Algorithm Based on Pseudo Boosting Decision Tree[J]. Computer Science, 2018, 45(4): 157 -162 .
[4] WANG Huan, ZHANG Yun-feng and ZHANG Yan. Rapid Decision Method for Repairing Sequence Based on CFDs[J]. Computer Science, 2018, 45(3): 311 -316 .
[5] SUN Qi, JIN Yan, HE Kun and XU Ling-xuan. Hybrid Evolutionary Algorithm for Solving Mixed Capacitated General Routing Problem[J]. Computer Science, 2018, 45(4): 76 -82 .
[6] ZHANG Jia-nan and XIAO Ming-yu. Approximation Algorithm for Weighted Mixed Domination Problem[J]. Computer Science, 2018, 45(4): 83 -88 .
[7] WU Jian-hui, HUANG Zhong-xiang, LI Wu, WU Jian-hui, PENG Xin and ZHANG Sheng. Robustness Optimization of Sequence Decision in Urban Road Construction[J]. Computer Science, 2018, 45(4): 89 -93 .
[8] LIU Qin. Study on Data Quality Based on Constraint in Computer Forensics[J]. Computer Science, 2018, 45(4): 169 -172 .
[9] ZHONG Fei and YANG Bin. License Plate Detection Based on Principal Component Analysis Network[J]. Computer Science, 2018, 45(3): 268 -273 .
[10] SHI Wen-jun, WU Ji-gang and LUO Yu-chun. Fast and Efficient Scheduling Algorithms for Mobile Cloud Offloading[J]. Computer Science, 2018, 45(4): 94 -99, 116 .