A Dynamic Fuzzy Sets Method and its Application to Pattern Recognition

Abstract:

We present a novel dynamic fuzzy sets (DFS) method, which is the generalization of fuzzy sets (FS) and the dynamization of interval-valued intuitionistic fuzzy sets (IVIFS). First, by analyzing the degree of hesitancy, we propose a DFS model from IVIFS. Second, we introduce the distance measure of DFS. Finally, a pattern recognition example is given to demonstrate the application of DFS, and the experimental results show that the DFS method is more effective than some IVIFS methods.

• Periodical: Applied Mechanics and Materials (Volumes 263-266)
• Pages: 2602-2605
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.263-266.2602
• Online since: December 2012
• Authors: Zhen Hua Zhang, Yong Hu, Xiao Hua Ke
• Keywords: Dynamic Fuzzy Sets, Interval-Valued Intuitionistic Fuzzy Sets, Pattern Recognition

References

[1] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-353.

[2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986) 235-246.

DOI: 10.1016/s0165-0114(86)80034-3

[3] K. Atanassov, Gargov G., Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31 (1989) 343-349.

DOI: 10.1016/0165-0114(89)90205-4

[4] D. F. Li, C.T. Cheng, New similarity measures of intuitionistic fuzzy sets and applications to pattern recognitions, Pattern Recognition Letters 23 (2002) 221-225.

DOI: 10.1016/s0167-8655(01)00110-6

[5] W.Q. Wang, X.L. Xin, Distances measure between intuitionistic fuzzy sets, Pattern Recognition Letters 26 (2005) 2063-2069.

DOI: 10.1016/j.patrec.2005.03.018

[6] Z.S. Xu, On similarity measures of interval-valued intuitionistic fuzzy sets and their application to Pattern recognitions, Joumal of Southeast University (English Edition) 23 (2007) 139-143.

[7] C.P. Wei, P. Wang, Y.Z. Zhang, Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications, Information Sciences 181 (2011) 4273-4286.

DOI: 10.1016/j.ins.2011.06.001

[8] S.P. Wan, Applying interval-value vague set for multi-sensor target recognition, International Journal of Innovative Computing, Information and Control 7 (2011) 955- 963.

[9] Z.S. Xu, A method based on distance measure for interval-valued intuitionistic fuzzy group decision making, Information Sciences 180 (2010) 181-190.

DOI: 10.1016/j.ins.2009.09.005

[10] Z.S. Xu, 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 Optim Decis Making 8 (2009) 123-139.

DOI: 10.1007/s10700-009-9056-3

[11] Q.S. Zhang, S.Y. Jiang, B.G. Jia and S.H. Luo, Some information measures for interval-valued intuitionistic fuzzy sets, Information Sciences 180 (2010) 5130-5145.

DOI: 10.1016/j.ins.2010.08.038

[12] Q.S. Zhang, H.X. Yao, Z.H. Zhang, Some similarity measures of interval-Valued intuitionistic fuzzy sets and application to pattern recognition, Applied Mechanics and Materials 44~47 (2011) 3888-3892.

DOI: 10.4028/www.scientific.net/amm.44-47.3888

[13] Z.S. Xu, Dynamic intuitionistic fuzzy multiple attribute decision making, International Journal of Approximate Reasoning 28 (2008) 246-262.

DOI: 10.1016/j.ijar.2007.08.008

[14] G.W. Wei, Some geometric aggregation functions and their application to dynamic attribute decision making in intuitionistic fuzzy setting, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17 (2009) 251-267.

DOI: 10.1142/s0218488509005802

[15] Z.X. Su, M.Y. Chen, G.P. Xia, L. Wang, An interactive method for dynamic intuitionistic fuzzy multi-attribute group decision making, Expert Systems with Applications 38 (2011) 15286-15295.

DOI: 10.1016/j.eswa.2011.06.022