Estimation of Fuzzy Measures Using Covariance Matrices in Gaussian Mixtures
Author
Source
Applied Computational Intelligence and Soft Computing
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-03
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Information Technology and Computer Science
Abstract EN
This paper presents a novel computational approach for estimating fuzzy measures directly from Gaussian mixtures model (GMM).
The mixture components of GMM provide the membership functions for the input-output fuzzy sets.
By treating consequent part as a function of fuzzy measures, we derived its coefficients from the covariance matrices found directly from GMM and the defuzzified output constructed from both the premise and consequent parts of the nonadditive fuzzy rules that takes the form of Choquet integral.
The computational burden involved with the solution of λ-measure is minimized using Q-measure.
The fuzzy model whose fuzzy measures were computed using covariance matrices found in GMM has been successfully applied on two benchmark problems and one real-time electric load data of Indian utility.
The performance of the resulting model for many experimental studies including the above-mentioned application is found to be better and comparable to recent available fuzzy models.
The main contribution of this paper is the estimation of fuzzy measures efficiently and directly from covariance matrices found in GMM, avoiding the computational burden greatly while learning them iteratively and solving polynomial equations of order of the number of input-output variables.
American Psychological Association (APA)
Verma, Nishchal K.. 2012. Estimation of Fuzzy Measures Using Covariance Matrices in Gaussian Mixtures. Applied Computational Intelligence and Soft Computing،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-469197
Modern Language Association (MLA)
Verma, Nishchal K.. Estimation of Fuzzy Measures Using Covariance Matrices in Gaussian Mixtures. Applied Computational Intelligence and Soft Computing No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-469197
American Medical Association (AMA)
Verma, Nishchal K.. Estimation of Fuzzy Measures Using Covariance Matrices in Gaussian Mixtures. Applied Computational Intelligence and Soft Computing. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-469197
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469197