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On Intuitionistic Fuzzy Entropy as Cost Function in Image Denoising

by Rajeev Kaushik, Rakesh K Bajaj
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International Journal of Applied Information Systems
Foundation of Computer Science (FCS), NY, USA
Volume 7 - Number 5
Year of Publication: 2014
Authors: Rajeev Kaushik, Rakesh K Bajaj
10.5120/ijais14-451198

Rajeev Kaushik, Rakesh K Bajaj . On Intuitionistic Fuzzy Entropy as Cost Function in Image Denoising. International Journal of Applied Information Systems. 7, 5 ( July 2014), 1-5. DOI=10.5120/ijais14-451198

@article{ 10.5120/ijais14-451198,
author = { Rajeev Kaushik, Rakesh K Bajaj },
title = { On Intuitionistic Fuzzy Entropy as Cost Function in Image Denoising },
journal = { International Journal of Applied Information Systems },
issue_date = { July 2014 },
volume = { 7 },
number = { 5 },
month = { July },
year = { 2014 },
issn = { 2249-0868 },
pages = { 1-5 },
numpages = {9},
url = { https://www.ijais.org/archives/volume7/number5/653-1198/ },
doi = { 10.5120/ijais14-451198 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-07-05T18:55:01.211121+05:30
%A Rajeev Kaushik
%A Rakesh K Bajaj
%T On Intuitionistic Fuzzy Entropy as Cost Function in Image Denoising
%J International Journal of Applied Information Systems
%@ 2249-0868
%V 7
%N 5
%P 1-5
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we proposed an algorithm to find the optimal threshold value for denoising an image. A new cost function is designed to find the optimal threshold in every image. The cost function is based on the intuitionistic fuzzy divergence measure of the denoised image and original image. In addition, the intuitionistic fuzzy entropy of denoised image is added to the cost function. This is necessary, because when the algorithm threshold value is decreased, the denoised image is blurred, although its divergence of original image is decreased. When the value of intutionistic fuzzy entropy and intutionistic fuzzy divergence measure are minimum, the sum that is the cost value will also minimum. The threshold for image denoising with a minimum cost value will be the optimal threshold for image denoising. The implementation and applicability of the proposed algorithm have been illustrated by taking different sample images. The obtained results have been finally analyzed and found to be better than the existing ones.

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Index Terms

Computer Science
Information Sciences

Keywords

Intuitionistic Fuzzy sets Intuitionistic Fuzzy Entropy Intuitionistic Divergence measure Intuitionistic Cost function Image denoising.

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