A Cramer Method for Solving Fully Fuzzy Linear Systems Based on Transmission Average

Babakordi, Fatemeh; Allahviranloo, Tofigh

doi:10.30473/coam.2022.62157.1186

Document Type : Research Article

Authors

¹ Department of Mathematics and Statistics‎, ‎Gonbad Kavous University‎, ‎Gonbad Kavous‎, ‎Iran.

² Faculty of Humanities and Social Sciences‎, ‎Istinye University‎, ‎Istanbul‎, ‎Turkey‎.

https://doi.org/10.30473/coam.2022.62157.1186

Abstract

Solving fuzzy linear systems has been widely studied during the last decades‎. ‎However‎, ‎there are still many challenges to solving fuzzy linear equations‎, ‎as most of the studies have used the principle of extension‎, ‎which suffers from shortcomings such as the lack of solution‎, ‎achieving solutions under very strong conditions‎, ‎large support of the obtained solutions‎, ‎inaccurate or even incorrect solutions due to not utilizing all the available information‎, complicated process and high computational load‎. ‎These problems motivated us to present a fuzzy Cramer method for solving fuzzy linear equations‎, ‎which uses arithmetic operations based on the Transmission Average (TA)‎. ‎In this study‎, ‎fully fuzzy linear systems in the form of $ \tilde{A}\tilde{X}=\tilde{B} $‎, ‎and dual fuzzy linear systems in the form of $ \tilde{A}\tilde{X}+\tilde{B}=\tilde{C}\tilde{X}+\tilde{D} $ are solved using the proposed fuzzy Cramer method‎, ‎and numerical examples are provided to confirm the effectiveness and applicability of the proposed method.

Keywords

References

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Control and Optimization in Applied Mathematics

A Cramer Method for Solving Fully Fuzzy Linear Systems Based on Transmission Average

References

References

Volume 7, Issue 2
Open Access Policy
Summer-Autumn 2022
December 2022
Pages 115-130

A Cramer Method for Solving Fully Fuzzy Linear Systems Based on Transmission Average

References

References

Volume 7, Issue 2 Open Access PolicySummer-Autumn 2022December 2022Pages 115-130

Volume 7, Issue 2
Open Access Policy
Summer-Autumn 2022
December 2022
Pages 115-130