Fuzzy discriminant analysis in fuzzy groups
type: Item
instance of: scholarly article
title: Fuzzy discriminant analysis in fuzzy groups
zbMATH Open document ID: 0601.62084
DOI: 10.1016/0165-0114(86)90055-2
author: Hideo Tanaka
author: Kiyoji Asai
author: Junzo Watada
published in: Fuzzy Sets and Systems
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 62H30
zbMATH DE Number: 3969922
zbMATH Keywords: fuzzy discriminant analysis
zbMATH Keywords: maximum separation
zbMATH Keywords: fuzzy mean
zbMATH Keywords: samples with fuzzy multi-attribute
zbMATH Keywords: linear discriminant function
zbMATH Keywords: fuzzy variance ratio
zbMATH Keywords: partial correlation coefficient
zbMATH Keywords: discrimination
zbMATH Keywords: fuzzy groups
MaRDI profile type: Publication
full work available at URL: 0165-0114(86)90055-2
OpenAlex ID: W1965447235
cites work: Fuzzy sets and systems. Theory and applications
cites work: On the prediction of phenomena from qualitative data and the quantification of qualitative data from the mathematico-statistical point of view
cites work: A note on the extension principle for fuzzy sets
cites work: Q3915785
cites work: The concept of a linguistic variable and its application to approximate reasoning. I
Recommended article: Q3218946
Recommended article: Q5403531
Recommended article: Fuzzy group identification problems
Recommended article: Fuzzy Canonical Discriminant Analysis: Theory and Practice
Recommended article: Q3195812
Recommended article: Fuzzy discriminant analysis with kernel methods
Recommended article: Q4215274
Recommended article: Q4331872
Recommended article: Q3476288
description: scientific article; zbMATH DE number 3969922