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Estimation of Confidence Level ‘h’ in Fuzzy Linear Regression Analysis using Shape Preserving Operations

by B. Pushpa, R. Vasuki
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 68 - Number 17
Year of Publication: 2013
Authors: B. Pushpa, R. Vasuki
10.5120/11671-7279

B. Pushpa, R. Vasuki . Estimation of Confidence Level ‘h’ in Fuzzy Linear Regression Analysis using Shape Preserving Operations. International Journal of Computer Applications. 68, 17 ( April 2013), 19-25. DOI=10.5120/11671-7279

@article{ 10.5120/11671-7279,
author = { B. Pushpa, R. Vasuki },
title = { Estimation of Confidence Level ‘h’ in Fuzzy Linear Regression Analysis using Shape Preserving Operations },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 68 },
number = { 17 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 19-25 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume68/number17/11671-7279/ },
doi = { 10.5120/11671-7279 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:28:07.661199+05:30
%A B. Pushpa
%A R. Vasuki
%T Estimation of Confidence Level ‘h’ in Fuzzy Linear Regression Analysis using Shape Preserving Operations
%J International Journal of Computer Applications
%@ 0975-8887
%V 68
%N 17
%P 19-25
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The aim of this discussion is to introduce a new fuzzy regression model, based on the distance between the outputs of the model in terms of its measurements along with the optimal confidence level 'h' using the shape preserving operations. Simple fuzzy regression models with fuzzy input- fuzzy outputs are also considered in which the coefficients of the models are themselves triangular fuzzy numbers. In the proposed method, the arithmetic operations are based on Tw norm, which preserves the shape during multiplication of two fuzzy numbers and it also satisfies the scale independent property. The numerical examples indicate that the proposed method has effective performance, especially when the data set includes some outliers.

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Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy linear regression Tw norm based arithmetic operations Fuzzy input and fuzzy output

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