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2018 | OriginalPaper | Chapter

Modified F-transform Based on B-splines

Authors : Martins Kokainis, Svetlana Asmuss

Published in: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations

Publisher: Springer International Publishing

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Abstract

The aim of this paper is to improve the F-transform technique based on B-splines. A modification of the F-transform of higher degree with respect to fuzzy partitions based on B-splines is done to extend the good approximation properties from the interval where the Ruspini condition is fulfilled to the whole interval under consideration. The effect of the proposed modification is characterized theoretically and illustrated numerically.

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previous chapter Lattice-Valued F-Transforms as Interior Operators of L-Fuzzy Pretopological Spaces

next chapter Collocation Method for Linear BVPs via B-spline Based Fuzzy Transform

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Title: Modified F-transform Based on B-splines
Authors: Martins Kokainis
Svetlana Asmuss
Publisher: Springer International Publishing
Book: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations
Print ISBN: 978-3-319-91475-6

Electronic ISBN: 978-3-319-91476-3

Copyright Year: 2018
DOI: https://doi.org/10.1007/978-3-319-91476-3_15

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