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 languageEnglish
Pages (from-to)261-271
Number of pages11
JournalFuzzy Sets and Systems
Volume19
Issue number3
DOIs
Publication statusPublished - 1986
Externally publishedYes

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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