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A Cramer Method for Solving Fully Fuzzy Linear Systems Based on Transmission Average | ||
| Control and Optimization in Applied Mathematics | ||
| مقاله 6، دوره 7، شماره 2، اسفند 2022، صفحه 115-130 اصل مقاله (568.08 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2022.62157.1186 | ||
| نویسندگان | ||
| Fatemeh Babakordi* 1؛ Tofigh Allahviranloo2 | ||
| 1Department of Mathematics and Statistics, Gonbad Kavous University, Gonbad Kavous, Iran. | ||
| 2Faculty of Humanities and Social Sciences, Istinye University, Istanbul, Turkey. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Transmission average؛ Fuzzy arithmetic؛ Fuzzy approximation؛ Fuzzy Cramer method | ||
| مراجع | ||
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