6533b85bfe1ef96bd12bbe24

RESEARCH PRODUCT

Modified F-transform Based on B-splines

Svetlana AsmussMartins Kokainis

subject

0209 industrial biotechnology020901 industrial engineering & automationDegree (graph theory)Approximation error0202 electrical engineering electronic engineering information engineeringExtrapolationApplied mathematicsInterval (graph theory)020201 artificial intelligence & image processing02 engineering and technologyFuzzy logicMathematics

description

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.

https://doi.org/10.1007/978-3-319-91476-3_15