论文信息 - Distance measure between intuitionistic fuzzy sets

Distance measure between intuitionistic fuzzy sets

The axiom definition of distance measure between intuitionistic fuzzy sets (IFSs) is introduced. Some distance measures are proposed and corresponding proofs are given. The relations between similarity measure and distance measure of IFSs are analyzed. Finally, the distance measures of IFSs are applied to pattern recognitions.

Weiqiong Wang | Xiaolong Xin | X. Xin | Weiqiong Wang

[1] W.-L. Gau,et al. Vague sets , 1993, IEEE Trans. Syst. Man Cybern..

[2] Li Dengfeng,et al. New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions , 2002, Pattern Recognit. Lett..

[3] Humberto Bustince,et al. Vague sets are intuitionistic fuzzy sets , 1996, Fuzzy Sets Syst..

[4] Shyi-Ming Chen,et al. Measures of similarity between vague sets , 1995, Fuzzy Sets Syst..

[5] Janusz Kacprzyk,et al. Distances between intuitionistic fuzzy sets , 2000, Fuzzy Sets Syst..

[6] Shyi-Ming Chen,et al. A weighted fuzzy reasoning algorithm for medical diagnosis , 1994, Decis. Support Syst..

[7] Pengfei Shi,et al. Similarity measures on intuitionistic fuzzy sets , 2003, Pattern Recognit. Lett..

[8] Krassimir T. Atanassov,et al. Intuitionistic fuzzy sets , 1986 .

[9] Lotfi A. Zadeh,et al. Fuzzy Sets , 1996, Inf. Control..

[10] Shyi-Ming Chen,et al. Similarity measures between vague sets and between elements , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[11] Shyi-Ming Chen,et al. Handling multicriteria fuzzy decision-making problems based on vague set theory , 1994 .

[12] H. B. Mitchell,et al. On the Dengfeng-Chuntian similarity measure and its application to pattern recognition , 2003, Pattern Recognit. Lett..