Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473704 | Computers & Mathematics with Applications | 2011 | 9 Pages |
Abstract
This paper suggests an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. This approximation method involves the construction of Lipschitz fuzzy sets using the sup–min convolution of a compact fuzzy set with a fuzzy zero. Considering a similar procedure, we present the approximation of a trapezoidal type fuzzy interval by a sequence of differentiable fuzzy intervals. We show some important properties of both approximations and we give some numerical examples illustrating the results.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Y. Chalco-Cano, A.D. Báez-Sánchez, H. Román-Flores, M.A. Rojas-Medar,