Paper:

# New Similarity Measures of Intuitionistic Fuzzy Sets

## Hassan Rezaei and Masao Mukaidono

Department of Computer Science, Meiji University, 1-1-1 Higashi-Mita, Tama-Ku, Kawasaki-shi 214-8571, Japan

*J. Adv. Comput. Intell. Intell. Inform.*, Vol.11 No.2, pp. 202-209, 2007.

- [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] A. Lu and W. Ng, “Vague Sets on Intuitionnistic Fuzzy Sets for Handling Vague Data: Which On Is Better?” 24
^{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.

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