New Similarity Measures of Intuitionistic Fuzzy Sets

Journal of Advanced Computational Intelligence and Intelligent Informatics

Volumn 11, Issue 2, 2007, Pages 202-209

  Rezaei, Hassan ^a,b   Mukaidono, Masao ^a  

^a MEIJI UNIVERSITY   (Japan)

^b UNIVERSITY OF SISTAN AND BALUCHESTAN   (Iran)

Author keywords

dissimilarity measure; fuzzy set; intuitionistic fuzzy set; similarity measure

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTATIONAL METHODS;

DISSIMILARITY MEASURES; HUMAN THINKING; INTUITIONISTIC FUZZY SETS; PROPERTY-BASED; SIMILARITY MEASURE; THINKING PROCESS;

FUZZY SETS;

EID: 71949129843     PISSN: 13430130     EISSN: 18838014     Source Type: Journal    
DOI: 10.20965/jaciii.2007.p0202     Document Type: Article

References (24)

1. D. Li and C. Cheng, “New Similarity Measures of Intuionistic Fuzzy Sets and Application to Pattern Recognition,” Pattern Recognition Letters, 23, pp. 221-225, 2002.
2. H. B. Mitchell, “On the Dengfeng-Chuntian Similarity Measures and its Application to Pattern Recognition,” Pattern Recognition Letters, 24, pp. 3101-3104, 2003.
3. Z. Liang and P. Shi, “Similarity Measures on Intuitionistic Fuzzy Sets,” Pattern Recognition Letters, 24, pp. 2686-2693, 2003.
4. W. L. Hung and M. S. Yang, “Similarity Measures of Intuitionistic Fuzzy Sets based on Hausdorff Distance,” Pattern Recognition Letters, 25, pp. 1603-1611, 2004.
5. W. Wang and X. Xin, “Distance Measure between Intuitionistic Fuzzy Sets,” Pattern Recognition Letters, 26, pp. 2063-2069, 2005.
6. P. Grzeogorzewski, “Distances between Intuitionistic Fuzzy Sets and/or Interval-Valued Fuzzy Sets based on the Hausdorff metric,” Fuzzy Sets and Systems, 148, pp. 319-328, 2004.
7. K. T. Atarassov, “Intuitionistic Fuzzy Set,” Fuzzy Sets and Systems, 20, pp. 87-96, 1986.
8. W. L. Gau and D. J. Buchere, “Vague Sets,” IEEE Trans. System Man Cybernet, 23, pp. 610-614, 1993.
9. H. Bustince and P. Burillo, “Vague Sets are Intuisionistic Fuzzy Sets,” Fuzzy Sets and Systems, 79, pp. 403-405, 1996.
10. th International Conference on Concepual Modeling (ER 2005), Klagenfurt, Austria, October 24-28, pp. 401-416, 2005.
11. K. T. Atarassov, “New Operations defined over the Intuitionistic Fuzzy Sets,” Fuzzy Sets and Systems, 61, pp. 137-142, 1994.
12. K. T. Atarassov, “Intuitionistic Fuzzy Sets: Theory and Applications,” Physica-Verlag, Heidelberg, New York, 1999.
13. E. Szmidt and J. Kacprzyk, “On Measuring Distances between Intuitionistic Fuzzy Sets,” Notes IFS, 3, pp. 1-13, 1997.
14. E. Szmidt and J. Kacprzyk, “Distances between Intuitionistic Fuzzy Sets,” Fuzzy Sets and Systems, 114, pp. 505-518, 1997.
15. R. Zwick, E. Carlstein, and D. Budescu, “Measures of Similarity among Fuzzy Sets: A Comparative Analysis,” Int. J. Approximate Reasoning, 1, pp. 221-242, 1987.
16. S. M. Chen, “A New Approach to Handling Fuzzy Decision Making Problems,” IEEE Trans. Systems, Man Cybernet, 18, pp. 1012-1016, 1988.
17. L. Xuecheng, “Entropy, Distance Measure and Similarity Measure of Fuzzy Sets and their relations,” Fuzzy Sets and Systems, 52, pp. 305-318, 1992.
18. C. P. Pappis and N. I. Karacapilidis, “A Comparative Assessment of Measures of Similarity of Fuzzy Values,” Fuzzy Sets and Systems, 56, pp. 171-174, 1993.
19. L. K. Hyung, Y. S. Song, and K. M. Lee, “Similarity Measures between Fuzzy Sets and between Elements,” Fuzzy Sets and Systems, 62, pp. 291-293, 1994.
20. S. M. Chen, M. S. Yeh, and P. Y. Hsiao, “A Comparison of Similarity Measures of Fuzzy Values,” Fuzzy Sets and Systems, 72, pp. 79-89, 1995.
21. W. J. Wang, “New Similarity Measures on Fuzzy Sets and on Elements,” Fuzzy Sets and Systems, 85, pp. 305-309, 1997.
22. H. Rezaei, M. Emoto, and M. Mukaidono, “New Similarity Measure Between Two Fuzzy Sets,” Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.10, No.6, pp. 946-953, 2006.
23. J. Kacprzyk, “Multistage Fuzzy Control,” Wiely, Chichester, 1997.
24. L. A. Zadeh, “Fuzzy Sets,” Inform. Control, pp. 338-353, 1965.