# Fuzzy discriminant analysis in fuzzy groups

Junzo Watada, Hideo Tanaka, Kiyoji Asai

Research output: Contribution to journalArticle

23 Citations (Scopus)

### Abstract

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.

Original language English 261-271 11 Fuzzy Sets and Systems 19 3 https://doi.org/10.1016/0165-0114(86)90055-2 Published - 1986 Yes

### Fingerprint

Fuzzy Group
Discriminant analysis
Discriminant Analysis
Variance Ratio
Attribute
Linear Discriminant Function
Partial Correlation
Discriminant
Correlation coefficient
Discrimination
Classify
Estimate

### Keywords

• Classification
• Fuzzy discriminant analysis
• Fuzzy mean
• Fuzzy partial correlation coefficient
• Fuzzy variance

### ASJC Scopus subject areas

• Artificial Intelligence
• Computer Science Applications
• Computer Vision and Pattern Recognition
• Information Systems and Management
• Statistics, Probability and Uncertainty
• Electrical and Electronic Engineering
• Statistics and Probability

### Cite this

Fuzzy discriminant analysis in fuzzy groups. / Watada, Junzo; Tanaka, Hideo; Asai, Kiyoji.

In: Fuzzy Sets and Systems, Vol. 19, No. 3, 1986, p. 261-271.

Research output: Contribution to journalArticle

Watada, Junzo ; Tanaka, Hideo ; Asai, Kiyoji. / Fuzzy discriminant analysis in fuzzy groups. In: Fuzzy Sets and Systems. 1986 ; Vol. 19, No. 3. pp. 261-271.
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