Paper Info
Title
Multi-dimensional fuzzy transform and projection.
Abstract
Fuzzy and inverse fuzzy transforms, introduced by I. Perfilieva, is an important tool for signal and image fuzzy representation. It led to several variants, as the natural least-squares minimization named fuzzy projection. We deal with this transform, proposing first to show its simplicity and its easy numerical implementation in any dimension of space. Secondly, we point out that a key parameter permits to control its numerical robustness. Thirdly, we show that this parameter also governs the stability of the representation by fuzzy projection, when choosing different partitions of the space. We conclude in discussing linear representation; especially triangular representation for signals and pyramidal representation for images.
Year
DOI
Venue
2017
10.1016/j.fss.2016.01.009
Fuzzy Sets and Systems
Keywords
Field
DocType
Fuzzy transform,Fuzzy projection,Signal representation,Image representation,Stability,Robustness
Discrete mathematics,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy logic,Robustness (computer science),Minification,Artificial intelligence,Fuzzy associative matrix,Fuzzy number,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
307
C
0165-0114
Citations 
PageRank 
References 
0
0.34
6
Authors
1
Name
Order
Citations
PageRank
Jean-Francois Crouzet140.79