Solution of second order linear homogeneous fuzzy difference equation with constant coefficients by geometric approach

In this article, we have solved an initial valued second order linear homogeneous fuzzy difference equation with constant coefficient using geometric approach. General fuzzy solution structures for the three cases are established depending on the auxiliary roots of the corresponding homogeneous difference equation. Finally, we have taken the numerical examples and solved them using the theoretical results and depicted the graphical scenarios to realize the deviation of the uncertain solution from the exact solution as well as the vagueness of the initial values.

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Publication Details

Journal
Journal of Decision Analytics and Intelligent Computing
Published
2024-12-21
DOI
https://doi.org/10.31181/jdaic10021122024a
Citations
3
Primary Topic
Fuzzy Systems and Optimization
Type
article
Field-Weighted Citation Impact
2.13
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article

Solution of second order linear homogeneous fuzzy difference equation with constant coefficients by geometric approach

Sankar Prasad Mondal, Kamal Hossain Gazi, Abdul Alamin
3 citations
Journal of Decision Analytics and Intelligent Computing
Fuzzy Systems and Optimization
2.13
article

Solution of second order linear homogeneous fuzzy difference equation with constant coefficients by geometric approach

Sankar Prasad Mondal, Kamal Hossain Gazi, Abdul Alamin
article en
3 citations

Abstract

In this article, we have solved an initial valued second order linear homogeneous fuzzy difference equation with constant coefficient using geometric approach. General fuzzy solution structures for the three cases are established depending on the auxiliary roots of the corresponding homogeneous difference equation. Finally, we have taken the numerical examples and solved them using the theoretical results and depicted the graphical scenarios to realize the deviation of the uncertain solution from the exact solution as well as the vagueness of the initial values.

Journal of Decision Analytics and Intelligent ComputingVol. 4(1)
Maulana Abul Kalam Azad University of Technology, West Bengal (IN)
Openalex Percentile: Top 11%
Fuzzy Systems and Optimization
2.13
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