Analysis of similarity measures for Atanassov's intuitionistic fuzzy sets

2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings

Volumn , Issue , 2009, Pages 1416-1421

  Szmidt, Eulalia ^a   Kacprzyk, Janusz ^a  

^a SYSTEMS RESEARCH INSTITUTE   (Poland)

Author keywords

Atanassov's intuitionistic fuzzy sets; Similarity measures

Indexed keywords

INTERVAL VALUE; INTUITIONISTIC FUZZY SETS; SIMILARITY MEASURE;

FUZZY LOGIC; FUZZY SYSTEMS;

FUZZY SETS;

EID: 78751507415     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (48)

1. Atanassov K. (1983), Intuitionistic Fuzzy Sets. VII ITKR Session. Sofia (Centr. Sci.-Techn. Libr. of Bulg. Acad. of Sci., 1697/84) (in Bulgarian).
2. Atanassov K. (1986) Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 20, 87-96.
3. Atanassov K. (1999), Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag.
4. Atanassov K. and Gargov G. (1989), Interval-valued intuition-istic fuzzy sets. Fuzzy sets and Systems, 31 (3), 343-349.
5. Bustince H., Burillo P. (1996) Vague sets are intuitionistic fuzzy sets. Fuzzy Sets and Systems 67, 403-405.
6. Chen S. M. (1995) Measures of similarity between vague sets. Fuzzy Sets and Systems 74(2), 217-223.
7. Chen S. M. (1997) Similarity measures between vague sets and between elements. IEEE Trans. Syst. Mn Cybernet. 27(1), 153-158.
8. Cross V. and Sudkamp T. (2002) Similarity and Compatibility in Fuzzy Set Theory. Physica-Verlag.
9. Dubois D. On degrees of truth, partial ignorance and contradiction. Magdalena L., Ojeda-Aciego M., Verdegay J.M. (eds): Proc. IPMU08, pp. 31-38.
10. Gau W.L., Buehrer D.J. (1993) Vague sets. IEEE Trans. Systems Man Cybernet 23, 610-614.
11. Hong D.H. and Kim C. (1999) A note on similarity measures between vague sets and between elements. Inform Science 115, 83-96.
12. Hung W-L. and Yang M-S. (2004) Similarity measures of intu-itionistic fuzzy sets based on Hausdorff distance. Pattern recognition Letters 25, 1603-1611.
13. Hung W.L and Yang M.S. (2008) On similarity measures between intuitionistic fuzzy sets. International Journal of Intelligent Systems 23 (3): 364-383.
14. Kahneman D. (2002) Maps of bounded rationality: a perspective on intuitive judgment and choice. Nobel Prize Lecture.
15. Li D.F, Cheng C.T. (2002) New similarity measures of intu-itionistic fuzzy sets and application to pattern recognitions. Pattern Recognition Letters 23, 221-225.
16. Li Y., Zhongxian C., Degin Y. (2002) Similarity measures between vague sets and vague entropy. J. Computer Sci. 29(12), 129-132.
17. Liang Z. and Shi P. (2003) Similarity measures on intuitionistic fuzzy sets. Pattern Recognition Lett. 24, 2687-2693.
18. Mitchell H.B. (2003) On the Dengfeng-Chuntian similarity measure and its application to pattern recognition. Pattern Recognition Lett. 24, 3101-3104.
19. Montero J., Gómez D. and Bustince H. (2007): On the relevance of some families of fuzzy sets. Fuzzy Sets and Systems 158, 2429-2442.
20. Pappis C. P. and Karacapilidis N. (1993) A comparative assessment of measures of similarity of fuzzy values. Fuzzy Sets and Systems 56, 171-174.
21. Sutherland S. (1994) Irrationality. The Enemy Within. Penguin Books.
22. Szmidt E. (2006) On a problem with the distances based on the Hausdorff metric. Report RB/52/2006, IBS PAN.
23. Szmidt E. and Baldwin J. (2003) New Similarity Measure for Intuitionistic Fuzzy Set Theory and Mass Assignment Theory. Notes on IFSs, 9 (3), 60-76.
24. Szmidt E. and Baldwin J. (2004) Entropy for Intuitionistic Fuzzy Set Theory and Mass Assignment Theory. Notes on IFSs, 10(3), 15-28.
25. Szmidt E. and Kacprzyk J. (1996c) Remarks on some applications of intuitionistic fuzzy sets in decision making, Notes on IF, 2(3), 22-31.
26. Szmidt E. and Kacprzyk J. (1997) On measuring distances between intuitionistic fuzzy sets, Notes on IF, 3(4), 1-13.
27. Szmidt E. and Kacprzyk J. (1998a) Group Decision Making under Intuitionistic Fuzzy Preference Relations. IPMU'98, 172-178.
28. Szmidt E. and Kacprzyk J. (1998b) Applications of Intuition-istic Fuzzy Sets in Decision Making. EUSFLAT'99, 150-158.
29. Szmidt E. and Kacprzyk J. (2000) Distances between intuition-istic fuzzy sets, Fuzzy Sets and Systems, 114(3), 505-518.
30. Szmidt E. and Kacprzyk J. (2000) On Measures on Consensus Under Intuitionistic Fuzzy Relations. IPMU 2000, 1454-1461.
31. Szmidt E., Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, 118 (3), 467-477.
32. Szmidt E. and Kacprzyk J. (2001) Analysis of Consensus under Intuitionistic Fuzzy Preferences. Proc. Int. Conf. in Fuzzy Logic and Technology. Leicester, UK, 79-82.
33. Szmidt E. and Kacprzyk J. (2002) An Intuitionistic Fuzzy Set Based Approach to Intelligent Data Analysis (an application to medical diagnosis). In A. Abraham, L. Jain, Kacprzyk (Eds.) Recent Advances in Intelligent Paradigms and Applications. Springer-Verlag, 57-70.
34. Szmidt E. and Kacprzyk J. (2002) Analysis of Agreement in a Group of Experts via Distances Between Intuitionistic Fuzzy Preferences. IPMU 2002, Annecy, France, 1859-1865.
35. Szmidt E. and J. Kacprzyk J. (2002b) An Intuitionistic Fuzzy Set Based Approach to Intelligent Data Analysis (an application to medical diagnosis). In A. Abraham, L. Jain, J. Kacprzyk (Eds.): Recent Advances in Intelligent Paradigms and Applications. Springer-Verlag, 57-70.
36. Szmidt E. and Kacprzyk J. (2004) Similarity of intuitionistic fuzzy sets and the Jaccard coefficient. IPMU 2004, 1405-1412.
37. Szmidt E., Kacprzyk J. (2004) A Concept of Similarity for Intuitionistic Fuzzy Sets and its use in Group Decision Making. 2004 IEEE Conf. on Fuzzy Systems, Budapest, 1129-1134.
38. Szmidt E. and Kacprzyk J. (2006) An Application of Intuition-istic Fuzzy Set Similarity Measures to a Multi-criteria Decision Making Problem. ICAISC 2006, LNAI 4029, Springer-Verlag, 314-323.
39. Szmidt E. and Kacprzyk J. (2006) Distances Between Intu-itionistic Fuzzy Sets: Straightforward Approaches may not work. 3rd Int. IEEE Conf. Intelligent Systems IS06, 716-721.
40. Szmidt E. and Kacprzyk J. (2007). Some problems with entropy measures for the Atanassov intuitionistic fuzzy sets. Applications of Fuzzy Sets Theory. LNAI 4578, 291-297. Springer-Verlag.
41. Szmidt E. and Kacprzyk J. (2007a). A New Similarity Measure for Intuitionistic Fuzzy Sets: Straightforward Approaches may not work. 2007 IEEE Conf. on Fuzzy Systems, 481-486.
42. Szmidt E. and Kukier M. (2006). Classification of Imbalanced and Overlapping Classes using Intuitionistic Fuzzy Sets. 3rd International IEEE Conference on Intelligent Systems IS'06, London, 2006, 722-727.
43. Szmidt E. and Kukier M. (2008) A New Approach to Classification of Imbalanced Classes via Atanassov's Intuitionistic Fuzzy Sets. In: Hsiao-Fan Wang (Ed.): Intelligent Data Analysis: Developing New Methodologies Through Pattern Discovery and Recovery. Idea Group, 85-101.
44. Tversky A. (1977). Features of similarity. Psychol. Rev., 84, 327-352.
45. Veltkamp R.C. (2001) Shape matching: similarity measures and algorithms. Proc. Shape Modelling International, Genova, Italy, IEEE Press, 188-197.
46. Wang W.J. (1997) New similarity measures on fuzzy sets and on elements. Fuzzy Sets and Systems, 85, 305-309.
47. Wang X., De Baets B., and Kerre E. (1995). A comparative study of similarity measures. Fuzzy Sets and Systems, 73 (2), 259-268.
48. Zadeh L.A. (1965). Fuzzy sets. Information and Control, 8, 338-353.