We present a new methodology to approximate a trapezoidal fuzzy numbers set by using smoothing radial basis functions (RBFs). The methodology uses different error and similarity indices to determine and compare the accuracy of the approximation of the given trapezoidal fuzzy data. For the proposed approximation method a fuzzy radial basis functions type are defined, called fuzzy smoothing radial basis functions under tension. The computation of one of these approximation functions from a given trapezoidal fuzzy data set is described and some convergence results are proved. Finally, some examples in two-dimensions are given to compare the behavior of the presented method by using the proposed error and similarity indices for different configurations of the fuzzy smoothing radial basis functions under tension.

العنوان

Fuzzy Sets and Systems

الناشر

Elsiver

بلد الناشر

هولندا

Indexing

Thomson Reuters

معامل التأثير

3,343

نوع المنشور

Both (Printed and Online)

المجلد

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السنة

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الصفحات

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