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Indexed by:期刊论文

Date of Publication:2011-05-01

Journal:COMPUTERS & MATHEMATICS WITH APPLICATIONS

Included Journals:Scopus、SCIE、EI

Volume:61

Issue:9

Page Number:2879-2898

ISSN No.:0898-1221

Key Words:Fuzzy systems; Non-singleton fuzzifier; Adaptive universe; Normal implication; Center-of-gravity defuzzifier; Universal approximation

Abstract:In this paper, the construction and approximation problem of a single input and single output (SISO) fuzzy system with normal implication and center-of-gravity defuzzifier is discussed. First, the method of a non-singleton fuzzifier for the input variable and the concept of an adaptive universe for the output fuzzy set are proposed. Then, by using this method and this concept of an adaptive universe, SISO fuzzy systems based on center-of-gravity defuzzifier and normal implications such as the Kleene-Dienes implication or the Lukasiewicz implication are constructed. The constructed fuzzy systems have the general form (S) under bar (x) = A*(i)(x)f(x(i)) A*(i+1)(x)f(x(i+1)), with A*(i)(x) A*(i+1)(x) = 1, and, furthermore, they are universal approximators. The sufficient conditions for the proposed fuzzy systems to be universal approximators are also obtained. To illustrate the universal property, an example is also given. (C) 2011 Elsevier Ltd. All rights reserved.