On the Mitchell similarity measure and its application to pattern recognition

Pattern Recognition Letters

Volumn 33, Issue 9, 2012, Pages 1219-1223

  Julian, Peterson ^a   Hung, Kuo Chen ^b   Lin, Shu Jen ^c  

^a CENTRAL POLICE UNIVERSITY   (Taiwan)

^b NATIONAL DEFENSE UNIVERSITY   (Taiwan)

^c TOKO UNIVERSITY   (Taiwan)

Author keywords

Intuitionistic fuzzy sets; Pattern recognition; Similarity measures

Indexed keywords

INTUITIONISTIC FUZZY SETS; PATTERN RECOGNITION PROBLEMS; SIMILARITY MEASURE;

FUZZY SETS;

PATTERN RECOGNITION;

EID: 84859364034     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patrec.2012.01.008     Document Type: Article

References (55)

1. K.T. Atanassov Intuitionistic fuzzy sets Fuzzy Sets Systems 20 1986 87 96
2. K.T. Atanassov More on intuitionistic fuzzy sets Fuzzy Sets Systems 33 1989 37 46
3. K.T. Atanassov Intuitionistic Fuzzy Sets 1999 Physica-Verlag Heidelberg
4. Baccour, L., Alimi, A.M., 2009. A comparison of some intuitionistic fuzzy similarity measures applied to handwritten Arabic sentences recognition. In: IEEE Internat. Conf. on Fuzzy Systems, Art. no. 5276877, 1389-1392.
5. Burduk, R., 2009. Interval-valued fuzzy observations in Bayes classifier. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) LNCS 5788, pp. 672-678.
6. T.Y. Chen A comparative analysis of score functions for multiple criteria decision making in intuitionistic fuzzy settings Inform. Sci. 181 17 2011 3652 3676
7. Chen, T.Y., Li, Y.W., Choi, C.W., 2009. Exploring the effects of intuitionistic fuzzy separation measures on TOPSIS rankings. In: IEEE Internat. Conf. on Fuzzy Systems, Art. no. 5277384, 1779-1784.
8. Hao, Y.J., Yang, C., Quan, S.Y., Li, J.P., 2008. Distance measure between vague sets. In: 2008 Internat. Conf. on Apperceiving Computing and Intelligence Analysis, Art. no. 4769997, 168-172.
9. D.H. Hong, and C. Kim A note on similarity measures between vague sets and between elements Inform. Sci. 115 1999 83 96
10. Huang, G.S., 2007. A new fuzzy entropy for intuitionistic fuzzy sets. In: Proc. Fourth Internat. Conf. on Fuzzy Systems and Knowledge Discovery 1, Art. no. 4405888, 57-61.
11. W.L. Hung, and M.S. Yang Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance Pattern Recognition Lett. 25 14 2004 1603 1611
12. W.L. Hung, and M.S. Yang Similarity measures of intuitionistic fuzzy sets based on Lp metric Int. J. Approximate Reasoning 46 1 2007 120 136
13. W.L. Hung, and M.S. Yang On the J-divergence of intuitionistic fuzzy sets with its application to pattern recognition Inform. Sci. 178 6 2008 1641 1650
14. Khatibi, V., Montazer, G.A., 2009a. Intuitionistic fuzzy set application in bacteria recognition. In: 2009 14th Internat. CSI Computer Conf., Art. no. 5349609, 373-378.
15. V. Khatibi, and G.A. Montazer Intuitionistic fuzzy set vs. fuzzy set application in medical pattern recognition. Artif. Intell. Med. 47 1 2009 43 52
16. D.F. Li, and C.T. Cheng New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions Pattern Recognition Lett. 23 2002 221 225
17. Li, N.L., Li, Z.G., Zhao, Q.M., Zhang, H.J., 2006. An algorithm of general closeness degree based on evidence theory and its applications in fuzzy pattern recognition. In: Ninth Internat. Conf. on Control, Automation, Robotics and Vision, Art. no. 4150199.
18. Y. Li, D.L. Olson, and Z. Qin Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis Pattern Recognition Lett. 28 2 2007 278 285 (Pubitemid 44716411)
19. Lv, Z., Chen, C., Li, W., 2007a. A new method for measuring similarity between intuitionistic fuzzy sets based on normal distribution functions. In: Proc. Fourth Internat. Conf. on Fuzzy Systems and Knowledge Discovery 2, Art. no. 4406055, 108-113. (Pubitemid 351710723)
20. Z. Lv, C. Chen, and W. Li Normal distribution fuzzy sets Adv. Soft Computing 40 2007 280 289
21. Lv, Z., Jin, H., Yuan, P., 2009. The similarity measure between interval type-2 fuzzy sets based on triangles. In: 2009 IEEE Internat. Conf. on Information and Automation, Art. no. 5205131, 1374-1379.
22. Maghrebi, W., Baccour, L., Khabou, M.A., Alimi, A.M., 2007. An indexing and retrieval system of historic art images based on fuzzy shape similarity. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) LNAI 4827, 623-633.
23. Meng, Y., Li, H., Wang, D., 2009. Fuzzy set-valued similarity measure and its application to pattern recognition. In: Sixth Internat. Conf. on Fuzzy Systems and Knowledge Discovery 6, Art. no. 5359841, 257-262.
24. H.B. Mitchell On the Dengfend-Chuntian similarity measure and its application to pattern recognition Pattern Recognition Lett. 24 2003 3101 3104 (Pubitemid 37293337)
25. H.B. Mitchell Ranking-intuitionistic fuzzy numbers Internat. J. Uncertainty Fuzziness Knowl Based Systems 12 3 2004 377 386
26. H.B. Mitchell An intuitionistic OWA operator Internat. J. Uncertainty Fuzziness Knowl Based Systems 12 6 2004 843 860 (Pubitemid 40493400)
27. H.B. Mitchell Pattern recognition using type-II fuzzy sets Inform. Sci. 170 2-4 2005 409 418 (Pubitemid 40183416)
28. Ning, Y., Xiangqian, D., Xiaodong, L., Yuan, F., 2008. General similarity measure for efficient query in large scale restricted floating sensor network. In: 2008 IEEE Internat. Symposium on Knowledge Acquisition and Modeling Workshop Proc., Art. no. 4810709, 355-358.
29. C.M. Own Switching between type-2 fuzzy sets and intuitionistic fuzzy sets: An application in medical diagnosis Appl. Intell. 31 3 2009 283 291
30. J.H. Park, J.S. Park, Y.C. Kwun, and K.M. Lim New similarity measures on intuitionistic fuzzy sets Adv. Soft Computing 40 2007 22 30
31. N. Pelekis, D.K. Lakovidis, E.E. Kotsifakos, and I. Kopanakis Fuzzy clustering of intuitionistic fuzzy data Internat. J. Business Intell. Data Mining 3 1 2008 45 65
32. N. Pelekis, I. Kopanakis, E.E. Kotsifakos, E. Frentzos, and Y. Theodoridis Clustering uncertain trajectories Knowl. Inform. Systems 28 1 2011 117 147
33. Quanming, Z., Lingling, L., Zhigang, L., Zhaohui, G., Jiannan, W., 2006. A calculating method of similarity degree for fuzzy pattern recognition. In: Proc. World Congress on Intelligent Control and Automation 1, Art. no. 1713003, 3420-3424. (Pubitemid 46533423)
34. E. Szmidt, and J. Kacprzyk A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning Lect. Notes Artificial Intell. 3070 2004 388 393 (Pubitemid 38835852)
35. I.K. Vlachos, and G.D. Sergiadis Intuitionistic fuzzy information - Applications to pattern recognition Pattern Recognition Lett. 28 2 2007 197 206 (Pubitemid 44716402)
36. W. Wang, and X. Xin Distance measure between intuitionistic fuzzy sets Pattern Recognition Lett. 26 13 2005 2063 2069 (Pubitemid 41252212)
37. C.P. Wei, P. Wang, and Y.Z. Zhang Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications Inform. Sci. 181 19 2011 4273 4286
38. M. Xia, and Z. Xu Some new similarity measures for intuitionistic fuzzy values and their application in group decision making J. Syst. Sci. Syst. Eng. 19 4 2010 430 452
39. Z.S. Xu Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making Fuzzy Optimiz. Decision Making 6 2 2007 109 121
40. Z.S. Xu Intuitionistic fuzzy hierarchical clustering algorithms J. Systems Eng. Electron. 20 1 2009 90 97
41. Z.S. Xu, and J. Chen An overview of distance and similarity measures of intuitionistic fuzzy sets Internat. J. Uncertainty Fuzziness Knowl. Based Systems 16 4 2008 529 555
42. Z.S. Xu, J. Chen, and J. Wu Clustering algorithm for intuitionistic fuzzy sets Inform. Sci. 178 19 2008 3775 3790
43. Z.S. Xu, and M. Xia Distance and similarity measures for hesitant fuzzy sets Inform. Sci. 181 11 2011 2128 2138
44. Z.S. Xu, and R.R. Yager Intuitionistic and interval-valued intuitionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group Fuzzy Optimiz. Decision Making 8 2 2009 123 139
45. Yang, T., Yang, J., Bi, F., 2009. Emotion statuses recognition of speech signal using intuitionistic fuzzy set. In: 2009 WRI World Congress on Software Engineering 1, Art. no. 5319087, 204-207.
46. J. Ye Cosine similarity measures for intuitionistic fuzzy sets and their applications Math. Comput. Modell. 53 1-2 2011 91 97
47. Yuan, F., Xiaodong, L., Xiangqian, D., 2009. New similarity measure for restricted floating sensor networks. In: Proceedings-2009 Internat. Conf. on Computer Engineering and Technology 1, Art. no. 4769480, 321-325.
48. Z. Yue, Y. Jia, and G. Ye An approach for multiple attribute group decision making based on intuitionistic fuzzy information Int. J. Uncertainty Fuzziness Knowl. Based Systems 17 3 2009 317 332
49. B. Yusoff, I. Taib, L. Abdullah, and A.F. Wahab A new similarity measure on intuitionistic fuzzy sets Internat. J. Comput. Math. Sci. 5 2 2011 70 74
50. W. Zeng, F. Yu, X. Yu, H. Chen, and S. Wu Entropy of intuitionistic fuzzy set based on similarity measure Internat. J. Innovative Comput. Inform. Control 5 12 2009 4737 4744
51. Q. Zhang, H. Yao, and Z. Zhang Some similarity measures of interval-valued intuitionistic fuzzy sets and application to pattern recognition Appl. Mech. Mater. 2011 3888 3892
52. Q.S. Zhang, S. Jiang, B. Jia, and S. Luo Some information measures for interval-valued intuitionistic fuzzy sets Inform. Sci. 180 24 2010 5130 5145
53. Q.S. Zhang, and S.Y. Jiang A note on information entropy measures for vague sets and its applications Inform. Sci. 178 21 2008 4184 4191
54. Zhang, Y., Ma, P., Su, X., 2009. Pattern recognition using interval-valued intuitionistic fuzzy set and its similarity degree. In: Proc. 2009 IEEE Internat. Conf. on Intelligent Computing and Intelligent Systems 4, Art. no. 5357670, 361-365.
55. Zhou, Z., Wu, Q.Z., 2007. Similarity measures on intuitionistic fuzzy sets. In: Proc. Fourth Internat. Conf. on Fuzzy Systems and Knowledge Discover 1, Art. no. 4405923, 228-235. (Pubitemid 351710599)