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Finding a generalized positive solution equation for a trapezoidal fully fuzzy sylvester matrix | ||
| Journal of Hyperstructures | ||
| دوره 14، شماره 2، اسفند 2025، صفحه 167-175 اصل مقاله (1.56 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.15376.1024 | ||
| نویسنده | ||
| Ram Milan Singh* | ||
| Institute for Excellence in Higher Education, Bhopal, India | ||
| چکیده | ||
| The solvability of Sylvester matrix equations is relevant to many issues in control theory and systems theory. Fuzzy numbers should be used to represent at least some of the system’s parameters in many applications instead of crisp ones. The solutions to the fuzzy Sylvester matrix problem are only given with triangular fuzzy numbers in the majority of the earlier literature. Two analytical approaches to the solution of the Positive Trapezoidal Fully Fuzzy Sylvester Matrix Equation are presented in this study. The Positive Trapezoidal Fully Fuzzy Sylvester Matrix Equation is transformed utilising the current arithmetic fuzzy multiplication operations into an analogous system of crisp Sylvester Matrix Equations. We look into the uniqueness and necessary and sufficient circumstances for the existence of the positive fuzzy solutions to the Positive Trapezoidal Fully Fuzzy Sylvester Matrix Equation. We look into the uniqueness and necessary and sufficient circumstances for the existence of the positive fuzzy solutions to the Positive Trapezoidal Fully Fuzzy Sylvester Matrix Equation. Furthermore, the equivalency between the Positive Trapezoidal Fully Fuzzy Sylvester Matrix Equation and the solution to the Sylvester Matrix Equation system is examined. One example problem is solved to demonstrate the suggested methods. | ||
| کلیدواژهها | ||
| Schur decomposition؛ trapezoidal fuzzy numbers؛ Kronecker product؛ totally fuzzy Sylvester matrix equations؛ and Bartels Stewart | ||
| مراجع | ||
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