Abstract
In this paper, we give a definition of n – frustum pyramid fuzzy numbers (a kind of n – dimensional fuzzy numbers which is easy to be used). And we define two fuzzy binary relations on n – frustum pyramid fuzzy number space according to the characteristics of the special fuzzy numbers, study its properties. And then, we infer the computational formula which is easy to be programmed. At last we give a practical example to show the application in classification which is based on fuzzy approximation relation on n – frustum pyramid fuzzy numbers space.
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
Zadeh, L.A.: Fuzzy Sets. Information Control, 338–353 (1965)
Chang, S.S.L., Zadeh, L.A.: On fuzzy mappings and control. IEEE Trans. Syst. Man Cybernet. 2, 30–34 (1972)
Wang, G.X., Wu, C.X.: Fuzzy n-cell Numbers and the Differential of Fuzzy n-cell Value Mappings. Fuzzy Sets and System 130, 367–381 (2003)
Wang, G.X., Li, Y.M., Wen, C.L.: On Fuzzy n-cell Numbers and n-dimension Fuzzy Vectors. Fuzzy Sets and system 158, 71–84 (2007)
Wang, G.X., Shi, P., Messenger, P.: Representation of uncertain Multi-Channel Digital Signal Spaces and Study of Pattern Recognition Based on Metrics and Difference Values on Fuzzy n-cell Number Spaces. IEEE Trans. on Fuzzy systems 17(2), 421–439 (2009)
Wang, G.X., Shi, P., Wen, C.L.: Fuzzy approximation relations on fuzzy n-cell number space and their applications in classification. Information Sciences 181, 3846–3860 (2011)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhang, J., Wang, G., Du, J. (2011). The Fuzzy Binary Relations on n- Frustum Pyramid Fuzzy Number Space and Its Application. In: Yang, D. (eds) Informatics in Control, Automation and Robotics. Lecture Notes in Electrical Engineering, vol 133. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25992-0_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-25992-0_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25991-3
Online ISBN: 978-3-642-25992-0
eBook Packages: EngineeringEngineering (R0)