Similarity Measure of Vague Set Based on Uncertainty

Article Preview

Abstract:

According to the experimental analysis, this work found out the defect of the formula for similarity measure between current Vague values, and redefined the similarity measure between Vague values. Therefore, a new formula subject to the new definition was put forward according to data mining and uncertainty of Vague value.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

3850-3853

Citation:

Online since:

August 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Gao W L, Buehrer D J. Vague sets [J]. IEEE. Tran. Syst. Man. Cybern. 1993, 23(2): 610-614.

DOI: 10.1109/21.229476

Google Scholar

[2] Atanassov k T. Intuitionistic fuzzy sets [J]. Fuzzy Sets and Systems, 1986, 20(1): 87-96.

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

Google Scholar

[3] Bustince H, Burilbo P. Vague sets are intuitionistic fuzzy sets [J]. Fuzzy Sets and Systems, 1996, 79(3): 403-405.

DOI: 10.1016/0165-0114(95)00154-9

Google Scholar

[4] Zadeh L A. Fuzzy sets [J]. Information and control, 1965 8(3): 338-353.

Google Scholar

[5] Li Deng-feng, Cheng Chun-tian. New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions [J]. Pattern Recognition Letters, 2002, 23: 221-225.

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

Google Scholar

[6] S.M. Chen. Measures of similarity between vague sets [J]. Fuzzy Sets and Systems, 1995, 74: 217-223.

DOI: 10.1016/0165-0114(94)00339-9

Google Scholar

[7] Hong D H, C Kim. A note similarity measures between vague sets and between elements. [J]. Information Sciences, 1999, 115: 83-96.

DOI: 10.1016/s0020-0255(98)10083-x

Google Scholar

[8] Li Deng-feng, Cheng Chun-tian. New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions [J]. Pattern Recognition Letters, 2002, 23: 221-225.

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

Google Scholar

[9] Zhizhen Liang, Pengfei. Shi . Similarity measures on intuitionistic fuzzy sets [J]. Pattern Recognition Letters, 2003, 24: 2687-269.

DOI: 10.1016/s0167-8655(03)00111-9

Google Scholar

[10] Liu H W. New similarity measures between intuitionistic fuzzy sets and between elements [J]. Mathematical and Computer Modeling, 2005, 42: 61-70.

DOI: 10.1016/j.mcm.2005.04.002

Google Scholar