Abstract
Based on the dynamic tendency of vague sets and the three-dimension of element membership to a vague set, a method of comparing the two vague sets by means of set pair analysis (SPA) is put forward. First, according to the positive, negative and uncertain membership of vague sets, the IDC(Identical Discrepancy Contrary) and weight IDC membership of vague set are defined; then, the IDC and weight IDC membership distance between vague sets are defined; last, the IDC membership distances between vague sets are applied to pattern recognition, which testifies the validity and simplicity of this method.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Gau, W.L., Buehrer, D.J.: Vague sets. IEEE. Trans. Syst. Man Cybern. 23(2), 610–614 (1993)
Zadeh, L.: A Fuzzy sets. Inform. and Control 8, 338–356 (1965)
Zhao, K.: Set Pair Analysis and Its Preliminary Application. ZheJiang Science and Technology Press, HangZhou (2000) (Chinese)
Liu, H.: Similarity Measurement between Vague Sets and Its Application in Pattern Recognition. ShanDong University Academic Journal (Engineering Science Edition) 34(1), 110–114 (2004)
Li, F., Xu, Z.: Similarity Measurement between Vague Sets. Software Academic Journal 12(6), 922–927 (2001) (Chinese)
Zhang, C., Xu, G., Liu, B.: Set Pair Analysis Based on Rough Sets Theory. Hebei Polytechnic University Academic Journal 28(1), 97–100 (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhang, Cy., Liu, Fc., Zhou, Ry. (2009). The IDC Membership Distance between Vague Sets and Its Application. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_79
Download citation
DOI: https://doi.org/10.1007/978-3-540-88914-4_79
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88913-7
Online ISBN: 978-3-540-88914-4
eBook Packages: EngineeringEngineering (R0)