Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2015-07-01

Journal: TheScientificWorldJournal

Included Journals: PubMed、Scopus

Volume: 2015

Page Number: 682989

ISSN: 1537-744X

Abstract: 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.