Possibilistic linear systems and their application to the linear regression model

H. Tanaka, J. Watada

Research output: Contribution to journalArticle

336 Citations (Scopus)

Abstract

It is the purpose of this paper to illustrate possibilistic linear systems based on possibility measure and to formulate a linear regression analysis by possibilistic linear models. Linear regression by a possibilistic model is called possibilistic linear regression. This is a new interpretation of fuzzy linear regression and also includes a new method by which interval analysis can be done in fuzzy numbers.

Original languageEnglish
Pages (from-to)275-289
Number of pages15
JournalFuzzy Sets and Systems
Volume27
Issue number3
DOIs
Publication statusPublished - 1988
Externally publishedYes

Fingerprint

Linear Regression Model
Linear regression
Linear systems
Linear Systems
Fuzzy Linear Regression
Possibility Measure
Interval Analysis
Fuzzy numbers
Regression Analysis
Linear Model
Regression analysis
Linear regression model
Model

Keywords

  • Fuzzy system equations
  • Linear regression model
  • Possibilistic linear systems

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

Possibilistic linear systems and their application to the linear regression model. / Tanaka, H.; Watada, J.

In: Fuzzy Sets and Systems, Vol. 27, No. 3, 1988, p. 275-289.

Research output: Contribution to journalArticle

Tanaka, H. ; Watada, J. / Possibilistic linear systems and their application to the linear regression model. In: Fuzzy Sets and Systems. 1988 ; Vol. 27, No. 3. pp. 275-289.
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