Title :
Representation of Uncertain Multichannel Digital Signal Spaces and Study of Pattern Recognition Based on Metrics and Difference Values on Fuzzy
-Cell Number Spaces
Author :
Wang, Guixiang ; Shi, Peng ; Messenger, Paul
Author_Institution :
Inst. of Operational Res. & Cybern., Hangzhou Dianzi Univ., Hangzhou
fDate :
4/1/2009 12:00:00 AM
Abstract :
In this paper, we discuss the problem of characterization for uncertain multichannel digital signal spaces, propose using fuzzy n-cell number space to represent uncertain n-channel digital signal space, and put forward a method of constructing such fuzzy n-cell numbers. We introduce two new metrics and concepts of certain types of difference values on fuzzy n -cell number space and study their properties. Further, based on the metrics or difference values appropriately defined, we put forward an algorithmic version of pattern recognition in an imprecise or uncertain environment, and we also give practical examples to show the application and rationality of the proposed techniques.
Keywords :
fuzzy set theory; pattern recognition; fuzzy n-cell number spaces; pattern recognition; uncertain environment; uncertain multichannel digital signal spaces; $n$-dimensional fuzzy vectors; Difference values; fuzzy $n$ -cell numbers; metrics; pattern recognition; uncertain multichannel digital signals;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2008.2012352