The Spearman rank correlation coefficient between intuitionistic fuzzy sets

2010 IEEE International Conference on Intelligent Systems, IS 2010 - Proceedings

Volumn , Issue , 2010, Pages 276-280

  Szmidt, Eulalia ^a   Kacprzyk, Janusz ^a  

^a SYSTEMS RESEARCH INSTITUTE   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

DATA DISTRIBUTION; DEGREE OF ASSOCIATION; INTUITIONISTIC FUZZY SETS; SPEARMAN CORRELATION; SPEARMAN RANK CORRELATION;

INTELLIGENT SYSTEMS;

FUZZY SETS;

EID: 77957837283     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IS.2010.5548399     Document Type: Conference Paper

References (40)

1. Aczel A. D. (1998), Complete business statistics. Richard D. Irvin, Inc.
2. Atanassov K. (1983), Intuitionistic Fuzzy Sets. VII ITKR Session. Sofia (in Bulgarian).
3. (Centr. Sci.-Techn. Libr. of Bulg. Acad. of Sci., 1697/84)
4. Atanassov K. (1999), Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag.
5. Bustince H. and Burillo P. (1995) Correlation of interval-valued intu-itionistic fuzzy sets. Fuzzy Sets and Systems, 74, 237-244.
6. Chiang D-A and Lin N. P. (1999) Correlation of fuzzy sets. Fuzzy Sets and Systems, 102, 221-226.
7. Gersternkorn T. and Manko J. (1991), Correlation of intuitionistic fuzzy sets. Fuzzy Sets and Systems 44, 39-43.
8. Helgason C. M. and Jobe T. H. (2003), Perception based reasoning and fuzzy cardinality provide direct measures of causality sensitive to initial conditions in the individual patient. International Journal of Computational Cognition, 1, 79-104.
9. Helgason C. M., Watkins F. A. and Jobe T. H. (2002), Measurable differences between sequential and parallel diagnostic decision processes for determining stroke subtype: A representation of interacting pathologies. Thromb Haemost, 88, 210-212.
10. Henrysson S. (1971), Gathering, analyzing, and using data on test items. In: Educational Measurement, ed. Thorndike R. L., Washington D.C. American Council on Education, 130-159.
11. Hong D.H. and Hwang S. Y. (1995), Correlation of intuitionistic fuzzy sets in probability spaces. Fuzzy Sets and Systems 75, 77-81.
12. Hong D.H. and Hwang S. Y. (1996), A note on the correlation of fuzzy numbers. Fuzzy Sets and Systems 79, 401-402.
13. Hung W. L. (2001) Using statistical viewpoint in developing correlation of intuitionistic fuzzy sets. Int. Journal of Uncertainty, Fuzziness and Knowledge-Based systems, 9(4), 509-516.
14. Hung W.L. and Wu J. W. (2002) Correlation of intuitionistic fuzzy sets by centroid method. Information Sciences 144, 219-225. (Pubitemid 34759687)
15. Kenneth S. Kendler, Josef Parnas (2008) Philosophical Issues in Psychiatry: Explanation, Phenomenology, and Nosology. Johns Hopkins University Press.
16. Liu S-T. and Kao Ch. (2002) Fuzzy measures for correlation coefficient of fuzzy numbers. Fuzzy Sets and Systems 128, 267-275.
17. Myers, J. L. and Well A. W. (2003) Research Design and Statistical Analysis (second edition ed.). Lawrence Erlbaum.
18. Rodgers J. L. and W. Alan Nicewander W. A. (1988) Thirteen Ways to Look at the Correlation Coefficient. The American Statistician, 42(1), 59-66.
19. Szmidt E. and Kacprzyk J. (1996c) Remarks on some applications of intuitionistic fuzzy sets in decision making, Notes on IFS, 2(3), 22-31.
20. Szmidt E. and Kacprzyk J. (1997) On measuring distances between intuitionistic fuzzy sets, Notes on IFS, 3(4), 1-13.
21. Szmidt E. and Kacprzyk J. (1998) Group Decision Making under Intuitionistic Fuzzy Preference Relations. IPMU'98, 172-178.
22. Szmidt E. and Kacprzyk J. (2000) Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, 114(3), 505-518.
23. Szmidt E. and Kacprzyk J. (2000) On Measures on Consensus Under Intuitionistic Fuzzy Relations. IPMU 2000, 1454-1461.
24. Szmidt E., Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, 118 (3), 467-477. (Pubitemid 32070574)
25. Szmidt E. and Kacprzyk J. (2001) Analysis of Consensus under In-tuitionistic Fuzzy Preferences. Proc. Int. Conf. in Fuzzy Logic and Technology. De Montfort Univ. Leicester, UK, 79-82.
26. Szmidt E. and Kacprzyk J. (2002a) Analysis of Agreement in a Group of Experts via Distances Between Intuitionistic Fuzzy Preferences. Proc. 9th Int. Conf. IPMU 2002, 1859-1865.
27. Szmidt E. and 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.
28. Szmidt E. and J. Kacprzyk J. (2002c) 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.
29. Szmidt E. and Kacprzyk J. (2006) Distances Between Intuitionistic Fuzzy Sets: Straightforward Approaches may not work. IEEE IS'06, 716-721.
30. Szmidt E. and Kacprzyk J. (2006) An Application of Intuitionistic Fuzzy Set Similarity Measures to a Multi-criteria Decision Making Problem. ICAISC 2006, LNAI 4029, Springer-Verlag, 314-323. (Pubitemid 44089820)
31. 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. (Pubitemid 350270291)
32. 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.
33. Szmidt E. and Kacprzyk J. (2008) A new approach to ranking alternatives expressed via intuitionistic fuzzy sets. In: D. Ruan et al. (Eds.) Computational Intelligence in Decision and Control. World Scientific, 265-270.
34. Szmidt E. and Kacprzyk J. (2009). Amount of information and its reliability in the ranking of Atanassov's intuitionistic fuzzy alternatives. In: Recent Advances in decision Making, SCI 222. E. Rakus-Andersson, R. Yager, N. Ichalkaranje, L.C. Jain (Eds.), Springer-Verlag, 7-19.
35. Szmidt E., Kacprzyk J.: Ranking of Intuitionistic Fuzzy Alternatives in a Multi-criteria Decision Making Problem. In: Proceedings of the conference: NAFIPS 2009, Cincinnati, USA, June 14-17, 2009, IEEE, ISBN: 978-1-4244-4577-6.
36. Szmidt E. and Kacprzyk J. (2010) Correlation between intuitionistic fuzzy sets. Submitted.
37. Szmidt E. and Kukier M. (2006). Classification of Imbalanced and Overlapping Classes using Intuitionistic Fuzzy Sets. IEEE IS'06, London, 722-727. (Pubitemid 46948988)
38. 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.
39. Zadeh L.A. (1965) Fuzzy sets. Information and Control, 8, 338-353.
40. Zeng W and Li H. (2007) Correlation coefficient of intuitionistic fuzzy sets. Journal of Industrial Engineering International, 3(5), 33-40.