Survey on granularity clustering
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Abstract
With the rapid development of uncertain artificial intelligent and the arrival of big data era, conventional clustering analysis and granular computing fail to satisfy the requirements of intelligent information processing in this new case. There is the essential relationship between granular computing and clustering analysis, so some researchers try to combine granular computing with clustering analysis. In the idea of granularity, the researchers expand the researches in clustering analysis and look for the best clustering results with the help of the basic theories and methods of granular computing. Granularity clustering method which is proposed and studied has attracted more and more attention. This paper firstly summarizes the background of granularity clustering and the intrinsic connection between granular computing and clustering analysis, and then mainly reviews the research status and various methods of granularity clustering. Finally, we analyze existing problem and propose further research.
Keywords
Granular computing Clustering analysis Granularity clusteringNotes
Acknowledgments
This work is supported by the National Natural Science Foundation of China (No. 61379101).
References
- Ahmad A, Dey L (2011) A k-means type clustering algorithm for subspace clustering of mixed numeric and categorical datasets. Pattern Recogn Lett 32(7):1062–1069CrossRefGoogle Scholar
- An QS, Shen JY, Wang GY (2003) A clustering method based on information granularity and rough sets. Pattern Recog Artif Intell 6(4):412–417Google Scholar
- Bai L, Liang JY, Cao FY (2009) Improved K-Modes Clustering Algorithm Based on Rough Sets. Comput Sci 36(1):162–176Google Scholar
- Bai L, Liang JY, Dang CY, Cao FY (2011) A novel attribute weighting algorithm for clustering high-dimensional categorical data. Pattern Recogn 44(12):2843–2861CrossRefGoogle Scholar
- Bargiela A, Pedrycz W (2003a) Granular computing: an introduction. Kluwer Academic Publishers, BostonCrossRefGoogle Scholar
- Bargiela A, Pedrycz W (2003b) Recursive information granulation: aggregation and interpretation issues. IEEE Trans Syst Man Cybern B Cybern 33(1):96–112CrossRefPubMedGoogle Scholar
- Boongoen T, Shang CJ, Iam-On N, Shen Q (2011) Extending Data Reliability Measure to a Filter Approach for Soft Subspace Clustering. IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics 41(6):1705–1714CrossRefGoogle Scholar
- Bu DB, Bai S, Li G (2002) Principle of granularity in clustering and classification. Chin J Comput Chin Edition- 25(8):810–816Google Scholar
- Celikyilmaz A. Soft-Link Spectral Clustering for Information Extraction. 2009 IEEE Third International Conference on Semantic Computing (ICSC 2009), 2009: 434-441Google Scholar
- Chen M, Miao DQ (2011) Interval set clustering. Expert Syst Appl 38(4):2923–2932CrossRefGoogle Scholar
- Chen Y H, Yao Y Y. Multiview intelligent data analysis based on granular computing. In: proceedings of 2006 IEEE international conference on granular computing. Shanghai, 2006Google Scholar
- Chen J, Zhang YP, Zhang L (2007) Analysis and Application of Clustering Based on Information Granularity. J Image Graphics 12(1):87–91Google Scholar
- Chen XJ, Ye YM, Xu XF, Huang JZ (2012) A feature group weighting method for subspace clustering of high-dimensional data. Pattern Recogn 45(1):434–446CrossRefGoogle Scholar
- Deng ZH, Choi KS, Chung FL, Wang ST (2010) Enhanced soft subspace clustering integrating within-cluster and between-cluster information. Pattern Recogn 43(3):767–781CrossRefGoogle Scholar
- Ding SF, Xu L, Zhu H, Zhang LW (2010) Research and Progress of Cluster Algorithms Based on Granular Computing. Int J Digital Content Technol Appl 4(5):96–104CrossRefGoogle Scholar
- Feng X, Ling Z, Wang LW (2004) The Approach of the Fuzzy Granular Computing Based on the Theory of Quotient Space. Pattern Recog Artif Intell 17(4):425–429Google Scholar
- Fukushima Y, Tsukada M, Tsuda I et al (2007) Spatial clustering property and its self-similarity in membrane potentials of hippocampal CA1 pyramidal neurons for a spatio-temporal input sequence. Cogn Neurodyn 1(4):305–316PubMedCentralCrossRefPubMedGoogle Scholar
- Gang Y, Miao DQ (2009) Duan Q G New rough leader clustering algorithm. Comput Sci 36(5):203–205Google Scholar
- Han JW, Micheline K (2006) Data Mining: Concepts and Techniques (Second Edition). Morgan Kaufmann Publishers, MassachusettsGoogle Scholar
- Hao XL, Xie KM (2007) Parallel artificial immune clustering algorithm based on dynamic granulation. Comput Eng 33(23):194–196Google Scholar
- He L, Wu L, Cai Y (2007) Survey of Clustering Algorithms in Data Mining. Appl Res Comput 24(1):10–13Google Scholar
- Herawan T, Deris MM, Abawajy JH (2010) A rough set approach for selecting clustering attribute. Knowl Based Syst 23(3):220–231CrossRefGoogle Scholar
- Leslie V (1984) A theory of the learnable. Commun ACM 27(11):1134–1142CrossRefGoogle Scholar
- Li H, Ding SF (2013) Research of individual neural network generation and ensemble algorithm based on quotient space granularity clustering. Appl Math Informat Sci 7(2):701–708CrossRefGoogle Scholar
- Li D, Meng H, Shi XS (1995) Membership Clouds and Membership Cloud Generators. J Comput Res Dev 32(6):16–21Google Scholar
- Liu YC, Li DY (2011) Granular Computing Based on Cloud Model. In: Miao DQ (ed) Uncertainty and Granular Computing. Science Press, BeijingGoogle Scholar
- Liu Y, Lue YJ, Li YJ (2004a) Application of Rough Set and K-means Clustering in Image Segmentation. Infrared Laser Eng 33(3):300–302Google Scholar
- Liu SH, Hu F, Jia ZY, Shi ZZ (2004b) A Rough Set Based Hierarchical Clustering Algorithm. J Comput Res Dev 41(4):552–557Google Scholar
- Liu Q, Sun H, Wang H (2008) The present studying state of granular computing and studying of granular computing based on the semantics of rough logic. Chin J Comput Chin Edition- 31(4):543CrossRefGoogle Scholar
- Maji P (2011) Fuzzy-Rough Supervised Attribute Clustering Algorithm and Classification of Microarray Data. IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics 41(1):222–233CrossRefGoogle Scholar
- Malyszko D, Stepaniuk J (2010) Adaptive multilevel rough entropy evolutionary thresholding. Inf Sci 180(7):1138–1158CrossRefGoogle Scholar
- Malyszko D, Stepaniuk J (2011) Rough Entropy Hierarchical Agglomerative Clustering in Image Segmentation. Trans Rough Sets XIII 6499:89–103CrossRefGoogle Scholar
- Miao DQ (2011) Uncertainty and granular computing. Science Press, BeijingGoogle Scholar
- Miao DQ, Wang GY, Liu Q et al (2007) Granular computing: past, present, future. Science Press, BeijingGoogle Scholar
- Mirkin B, Nascimento S (2012) Additive spectral method for fuzzy clustering analysis of similarity data including community structure and affinity matrices. Inf Sci 183(1):16–34CrossRefGoogle Scholar
- Mitra S, Pedrycz W, Barman B (2010) Shadowed c-means: integrating fuzzy and rough clustering. Pattern Recogn 43(4):1282–1291CrossRefGoogle Scholar
- Pawlak Z (1982) Rough sets. Int J Informat Comput Sci 11(5):145–172CrossRefGoogle Scholar
- Pedrycz W (2013) Granular computing: analysis and design of intelligent systems. CRC Press, Boca RatonCrossRefGoogle Scholar
- Pedrycz W, Bargiela A (2012) An optimization of allocation of information granularity in the interpretation of data structures: toward granular fuzzy clustering. Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on 42(3):582–590CrossRefGoogle Scholar
- Pedrycz W, Keun KC (2006) Boosting of granular models. Fuzzy Sets Syst 157(22):2934–2953CrossRefGoogle Scholar
- Pedrycz W, Bassis S, Malchiodi D (2008) The puzzle of granular computing. Springer, HeidelbergCrossRefGoogle Scholar
- Pedrycz W, Loia V, Senatore S (2010) Fuzzy Clustering With Viewpoints. IEEE Trans Fuzzy Syst 18(2):274–284Google Scholar
- Peng LQ, Zhang JY (2011) An entropy weighting mixture model for subspace clustering of high-dimensional data. Pattern Recogn Lett 32(8):1154–1161CrossRefGoogle Scholar
- Posner MI (ed) (1989) Foundations of cognitive science. The MIT Press, CambridgeGoogle Scholar
- Su CT, Chen LS, Yih Y (2006) Knowledge acquisition through information granulation for imbalanced data. Expert Syst Appl 31(3):531–541CrossRefGoogle Scholar
- Tang XQ, Zhu P, Cheng JX (2008) Clustering analysis Based on Fuzzy Quotient Space. J Softw 19(4):861–868CrossRefGoogle Scholar
- Wang LW (2006) Study of granular analysis in clustering. Comput Eng Appl 42(5):29–31Google Scholar
- Wang G, Yao Y, Yu H (2009) A survey on rough set theory and applications. Chin J Comput 32(7):1229–1246CrossRefGoogle Scholar
- Wang GY, Zhong QH, Ma XA et al (2011) Granular computing models for knowledge uncertainty. J. Softw 22(4):679–694Google Scholar
- White BS, Shalloway D (2009) Efficient uncertainty minimization for fuzzy spectral clustering. Phys Rev E 80(5):056705CrossRefGoogle Scholar
- Xie Y, Raghavan VV, Dhatric P, Zhao XQ (2005) A new fuzzy clustering algorithm for optimally finding granular prototypes. Int J Approximate Reasoning 40(1–2):109–124CrossRefGoogle Scholar
- Xue ZX, Shang YL, Feng AF (2010) Semi-supervised outlier detection based on fuzzy rough C-means clustering. Math Comput Simul 80(9):1911–1921CrossRefGoogle Scholar
- Yan LL, Zhang YP, Hu BY (2008) Covering Clustering Algorithm Based on Quotient Space Granularity. Appl Res Comput 25(1):47–49Google Scholar
- Yang T, Li LS (2004) A Data Reduction Algorithm Using Clustering Based on Rough Set Theory. J Syst Simul 16(10):2195–2197Google Scholar
- Yanto ITR, Herawan T, Deris MM (2011) Data clustering using variable precision rough set. Intell Data Anal 15(4):465–482Google Scholar
- Yao YY (2006) Three perspectives of granular computing. J Nanchang Inst Technol 25(2):16–21Google Scholar
- Yao YY (2007) The art of granular computing. Rough sets and intelligent systems paradigms. Springer, Berlin, pp 101–112CrossRefGoogle Scholar
- Yao Y Y (2008) Granular computing: past, present and future. In: 2008 IEEE international conference on granular compting. Beijing.Google Scholar
- Yao YY (2009) Interpreting concept learning in cognitive informatics and granular computing. Syst Man Cybern Part B 39(4):855–866CrossRefGoogle Scholar
- Yao Y Y (2000) Granular computing: basic issues and possible solutions. In: proceedings of the 5th Joint conference on information sciences. Elsevier Publishing Company, USA, 186–189Google Scholar
- Yong C, Hong M, Min Z et al (2005) An Overview of Granular Computing. Comput Sci 32(9):1–12Google Scholar
- Zadeh LA (1996) Fuzzy logic: computing with words. IEEE Trans Fuzzy Syst 1(2):103–111CrossRefGoogle Scholar
- Zadeh LA (1997) Towards a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst 19:111–127CrossRefGoogle Scholar
- Zhang L, Zhang B. Quotient space based clustering analysis. In Proceedings of Foundations and Novel Approaches in Data Mining, 2006: 259-269Google Scholar
- Zhang X, Yin Y X, Xu M Z. Research of Text Clustering Based on Fuzzy Granular Computing. In: 2009 Second IEEE International Conference on Computer Science and Informational Tecnology, 2009:288-291Google Scholar
- Zhang B, Zhang L (1992) Theory and applications of problem solving. Elsevier, North-HollandGoogle Scholar
- Zhang L, Zhang B (2003) Theory of fuzzy quotient space (methods of fuzzy granular computing). J Softw 14(4):770–776Google Scholar
- Zhang L, Zhang B, Yin H (1999) An alternative covering design algorithm of multi-layer neural networks. J Softw 10(7):737–742Google Scholar
- Zhang WX, Hao WZ, Liang JY, Li DY (2001a) Rough set theory and method. Science Press, BeijingGoogle Scholar
- Zhang JS, Leung Y, Xu ZB (2001b) Clustering methods by simulating visual systems. Chin J Comput Chin Edit 24(5):496–501Google Scholar
- Zhang LJ, Li ZJ, Chen HW (2005) Granular computing and its application in data mining. Comput Sci 32(12):178–180Google Scholar
- Zhang C, Xia SX, Liu B (2013a) A robust fuzzy kernel clustering algorithm. Appl Math Inf Sci 7(2):1005–1012Google Scholar
- Zhang JH, Peng XD, Liu H et al (2013b) Classifying human operator functional state based on electrophysiological and performance measures and fuzzy clustering method. Cogn Neurodyn 7(6):477–494PubMedCentralCrossRefPubMedGoogle Scholar
- Zhao S, Zhang Y, Zhang L et al (2005) Covering clustering algorithm. J Anhui Univ (Nat Sci) 29(2):28–32Google Scholar
- Zhao F, Liu HQ, Jiao LC (2011) Spectral clustering with fuzzy similarity measure. Digit Signal Process 21(6):701–709CrossRefGoogle Scholar
- Zheng S Z, Zhao X L, Zhang B Q (2009) Web document clustering research based on granular computing. In: 2009 2nd international symposium on electronic commerce and security, pp 446–450Google Scholar
- Zhong MS (2004) Fuzzy clustering of web page. J East China Jiaotong Univ 21(5):59–62Google Scholar
- Zhou J, Pedrycz W, Miao DQ (2011) Shadowed sets in the characterization of rough-fuzzy clustering. Pattern Recognit 44(8):1738–1749CrossRefGoogle Scholar
- Zhu H, Ding SF, Xu L, Zhang LW (2011) Research and development of granularity clustering. Commun Comput Inf Sci 159(5):253–258CrossRefGoogle Scholar
- Zhu H, Ding SF, Xu XZ (2012) An AP clustering algorithm of fine-grain parallelism based on improved attribute reduction. J Comput Res Dev 49(12):2638–2644Google Scholar