TY - JOUR
T1 - Fuzzy discriminant analysis in fuzzy groups
AU - Watada, Junzo
AU - Tanaka, Hideo
AU - Asai, Kiyoji
PY - 1986
Y1 - 1986
N2 - This paper deals with discriminant problems to classify samples with fuzzy multi-attribute into fuzzy groups. In this problem, the objective is to determine the linear discriminant function that provides the maximum separation of fuzzy groups in a real space. For this purpose, we define the fuzzy variance ratio and employ maximization of the fuzzy variance ratio as a criterion. Furthermore, a partial correlation coefficient in the fuzzy groups is defined to estimate the influence of each attribute itself on the discrimination between fuzzy groups.
AB - This paper deals with discriminant problems to classify samples with fuzzy multi-attribute into fuzzy groups. In this problem, the objective is to determine the linear discriminant function that provides the maximum separation of fuzzy groups in a real space. For this purpose, we define the fuzzy variance ratio and employ maximization of the fuzzy variance ratio as a criterion. Furthermore, a partial correlation coefficient in the fuzzy groups is defined to estimate the influence of each attribute itself on the discrimination between fuzzy groups.
KW - Classification
KW - Fuzzy discriminant analysis
KW - Fuzzy mean
KW - Fuzzy partial correlation coefficient
KW - Fuzzy variance
UR - http://www.scopus.com/inward/record.url?scp=0013435839&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0013435839&partnerID=8YFLogxK
U2 - 10.1016/0165-0114(86)90055-2
DO - 10.1016/0165-0114(86)90055-2
M3 - Article
AN - SCOPUS:0013435839
VL - 19
SP - 261
EP - 271
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
SN - 0165-0114
IS - 3
ER -