6533b86ffe1ef96bd12ce65b

RESEARCH PRODUCT

Higher Degree F-transforms Based on B-splines of Two Variables

Svetlana AsmussMartins Kokainis

subject

0209 industrial biotechnologyPolynomialDegree (graph theory)Inverse02 engineering and technologyFuzzy partitionFuzzy logic020901 industrial engineering & automationQuality (physics)Approximation error0202 electrical engineering electronic engineering information engineeringApplied mathematics020201 artificial intelligence & image processingMathematics

description

The paper deals with the higher degree fuzzy transforms (F-transforms with polynomial components) for functions of two variables in the case when two-dimensional generalized fuzzy partition is given by B-splines of two variables. We investigate properties of the direct and inverse F-transform in this case and prove that using B-splines as basic functions of fuzzy partition allows us to improve the quality of approximation.

yearjournalcountryeditionlanguage
2016-01-01
https://doi.org/10.1007/978-3-319-40596-4_54