A New Fuzzy System Based on Rectangular Pyramid
Joint Authors
Yuan, Xuehai
Jiang, Mingzuo
Li, Hongxing
Wang, Jiaxia
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-19
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A new fuzzy system is proposed in this paper.
The novelty of the proposed system is mainly in the compound of the antecedents, which is based on the proposed rectangular pyramid membership function instead of t-norm.
It is proved that the system is capable of approximating any continuous function of two variables to arbitrary degree on a compact domain.
Moreover, this paper provides one sufficient condition of approximating function so that the new fuzzy system can approximate any continuous function of two variables with bounded partial derivatives.
Finally, simulation examples are given to show how the proposed fuzzy system can be effectively used for function approximation.
American Psychological Association (APA)
Jiang, Mingzuo& Yuan, Xuehai& Li, Hongxing& Wang, Jiaxia. 2015. A New Fuzzy System Based on Rectangular Pyramid. The Scientific World Journal،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1078975
Modern Language Association (MLA)
Jiang, Mingzuo…[et al.]. A New Fuzzy System Based on Rectangular Pyramid. The Scientific World Journal No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1078975
American Medical Association (AMA)
Jiang, Mingzuo& Yuan, Xuehai& Li, Hongxing& Wang, Jiaxia. A New Fuzzy System Based on Rectangular Pyramid. The Scientific World Journal. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1078975
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1078975