DocumentCode
3164517
Title
Centroids of fuzzy sets when membership functions have spikes
Author
Aisbett, Janet ; Rickard, John T.
Author_Institution
Univ. of Newcastle, Callaghan, NSW, Australia
fYear
2013
fDate
24-28 June 2013
Firstpage
97
Lastpage
101
Abstract
Centroids are a common defuzzification method for fuzzy sets defined on the real line, and thus are practically important in type-1 and type-2 fuzzy logic systems. We propose a modified definition of the centroid that takes account of singleton spikes in membership. Such spikes are encountered in aggregates that combine fuzzy sets whose support is discrete with fuzzy sets whose support is defined on an interval. Our modified definition avoids a computational problem with the choice of discretization in the standard definition when spikes are present, and reduces to the usual one in the absence of spikes.
Keywords
fuzzy set theory; centroids; defuzzification method; fuzzy logic system; fuzzy sets; membership function; singleton spikes; Aggregates; Approximation methods; Finite element analysis; Fuzzy sets; Fuzzy systems; Length measurement; Position measurement;
fLanguage
English
Publisher
ieee
Conference_Titel
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location
Edmonton, AB
Type
conf
DOI
10.1109/IFSA-NAFIPS.2013.6608382
Filename
6608382
Link To Document