Fuzzy similarity-based nearest-neighbour classification as alternatives to their fuzzy-rough parallels

International Journal of Approximate Reasoning

Volumn 54, Issue 1, 2013, Pages 184-195

  Qu, Yanpeng ^a,b   Shen, Qiang ^b   Parthaláin, Neil Mac ^b   Shang, Changjing ^b   Wu, Wei ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b ABERYSTWYTH UNIVERSITY   (United Kingdom)

Author keywords

Classification; Fuzzy rough sets; Nearest neighbour; Similarity function

Indexed keywords

CLASSIFICATION PERFORMANCE; EMPIRICAL EVALUATIONS; EXPERIMENTAL EVALUATION; FUZZY SIMILARITY; FUZZY-ROUGH SETS; MATHEMATICAL FOUNDATIONS; NEAREST NEIGHBOUR; NOVEL METHODS; REAL-VALUED DATA; ROUGH SET; SIMILARITY FUNCTIONS; UNDERLYING MECHANISM;

CLASSIFICATION (OF INFORMATION); FUZZY LOGIC;

ROUGH SET THEORY;

EID: 84870065937     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2012.06.008     Document Type: Article

References (39)

1. J. Basak, R.K. De, and S.K. Pal Unsupervised feature selection using neuro-fuzzy approach Pattern Recognition Letters 19 13 1998 997 1006
2. J.R. Beck, and E.K. Schultz The use of relative operating characteristic (roc) curves in test performance evaluation Archives of Pathology & Laboratory Medicine 110 1986 13 20
3. H. Bian, L. Mazlack, Fuzzy-rough nearest-neighbor classification approach, in: Proceeding of the 22nd International Conference of the North American Fuzzy Information Processing Society, 2003, pp. 500-505.
4. C.L. Blake, and C.J. Merz UCI repository of machine learning databases 1998 University of California, Irvine, School of Information and Computer Sciences
5. T. Boongoen, and Q. Shen Nearest-neighbor guided evaluation of data reliability and its applications IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 40 6 2010 1622 1633
6. T. Boongoen, C. Shang, N. Iam-On, and Q. Shen Extending data reliability measure to a filter approach for soft subspace clustering IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 41 6 2011 1705 1714
7. L. Borkowski Selected Works by Jan Ł ukasiewicz 1970 North-Holland Pub. Co., Amsterdam 87 88
8. M. De Cock, C. Cornelis, and E.E. Kerre Fuzzy rough sets: The forgotten step IEEE Transactions on Fuzzy Systems 15 1 2007 121 130
9. C. Cornelis, M. De Cock, and A.M. Radzikowska Vaguely quantified rough sets Lecture Notes in Artificial Intelligence 4482 2007 87 94
10. M. Das, M.K. Chakraborty, and T.K. Ghoshal Fuzzy tolerance relation, fuzzy tolerance space and basis Fuzzy Sets and Systems 97 1998 361 369
11. S.P. Dienes On an implication function in many-valued systems of logic Journal of Symbolic Logic 14 2 1949 95 97
12. D. Dubois, and H. Prade Putting rough sets and fuzzy sets together Intelligent Decision Support 1992 203 232
13. R.O. Duda, P.E. Hart, and D.G. Stork Pattern Classification 2nd ed. 2001 John Wiley and Sons New York
14. D. Hand, and R. Till A simple generalisation of the area under the roc curve for multiple class classification problems Machine Learning 45 2001 171 186
15. Q. Hu, D. Yu, Z. Xie, and J. Liu Fuzzy probabilistic approximation spaces and their information measures IEEE Transactions on Fuzzy Systems 14 2 2006 191 201
16. J. Huang, and C. Ling Using auc and accuracy in evaluating learning algorithms IEEE Transactions on Knowledge and Data Engineering 17 3 2005 299 310
17. R. Jensen, C. Cornelis, Fuzzy-rough instance selection, in: Proceedings of the 19th International Conference on Fuzzy Systems, 2010, pp. 1776-1782.
18. R. Jensen, and C. Cornelis Fuzzy Rough Nearest Neighbour Classification and Prediction Theoretical Computer Science 412 42 2011 5871 5884
19. R. Jensen, and Q. Shen Computational Intelligence and Feature Selection: Rough and Fuzzy Approaches 2008 IEEE Press and Wiley & Sons
20. R. Jensen, and Q. Shen New approaches to fuzzy-rough feature selection IEEE Transactions on Fuzzy Systems 17 4 2009 824 838
21. J.M. Keller, M.R. Gray, and J.A. Givens A fuzzy k-nearest neighbor algorithm IEEE Transactions on Systems, Man, and Cybernetics 15 4 1985 580 585
22. S.C. Kleene Introduction to Metamathematics 1952 Van Nostrand New York
23. S. Lanteria, C. Armanino, R. Leardia, and G. Modi Chemometric analysis of tuscan olive oil Chemometrics and Intelligent Laboratory Systems 5 4 1989 343 354
24. P. Maji, and S.K. Pal Fuzzy-rough sets for information measures and selection of relevant genes from microarray data IEEE Transactions on System, Man and Cybernetics, Part B, Cybernetics 40 3 2010 741 752
25. P. Maji, and S.K. Pal Feature selection using f-information measures in fuzzy approximation space IEEE Transactions on Knowledge and Data Engineering 22 6 2010 854 867
26. S.J. Mason, and N.E. Graham Areas beneath the relative operating characteristics (roc) and relative operating levels (rol) curves: Statistical significance and interpretation Quarterly Journal of the Royal Meteorological Society 128 2002 2145 2166
27. S. Mitra, and S.K. Pal Fuzzy sets in pattern recognition and machine intelligence Fuzzy Sets and Systems 156 3 2005 381 386
28. Z. Pawlak Rough Sets: Theoretical Aspects of Reasoning About Data 1991 Kluwer Academic Publishing
29. Y. Qu, C. Shang, W. Wu, and Q. Shen Evolutionary fuzzy extreme learning machine for mammographic risk analysis International Journal of Fuzzy Systems 13 4 2011 282 291
30. A.M. Radzikowska, and E.E. Kerre A comparative study of fuzzy rough sets Fuzzy Sets and Systems 126 2 2002 137 155
31. M. Sarkar Fuzzy-rough nearest neighbors algorithm Fuzzy Sets and Systems 158 2007 2123 2152
32. D. Sen, S.K. Pal, and Generalized rough sets entropy and image ambiguity measures IEEE Transactions on System, Man and Cybernetics, Part B, Cybernetics 39 1 2009 117 128
33. C. Shang, D. Barnes, and Q. Shen Facilitating efficient mars terrain image classification with fuzzy-rough feature selection International Journal of Hybrid Intelligent Systems 8 1 2011 3 13
34. I.H. Witten, and E. Frank Data Mining: Practical machine learning tools with Java implementations 2000 Morgan Kaufmann San Francisco
35. Y.Y. Yao Two views of the theory of rough sets in finite universes International Journal of Approximation Reasoning 15 4 1996 291 317
36. Y.Y. Yao A comparative study of fuzzy sets and rough sets Information Sciences 109 1-4 1998 227 242
37. Y.Y. Yao Relational interpretations of neighborhood operators and rough set approximation operators Information Sciences 111 1-4 1998 239 259
38. Y.Y. Yao, and Y. Zhao Attribute reduction in decision-theoretic rough set models Information Sciences 178 17 2008 3356 3373
39. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 353