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Solving LR fuzzy linear matrix equation† | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 5، دوره 16، شماره 5، آذر و دی 2019، صفحه 33-44 اصل مقاله (166.79 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2019.4905 | ||
نویسندگان | ||
X. Guo* 1؛ D. Shang2 | ||
1College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China | ||
2Public Health College, Gansu University of Traditional Chinese Medicine, Lanzhou 730000, China | ||
چکیده | ||
In this paper, the fuzzy matrix equation $A\widetilde{X}B=\widetilde{C}$ in which $A,B$ are $n \times n$ crisp matrices respectively and $\widetilde{C}$ is an $n \times n$ arbitrary LR fuzzy numbers matrix, is investigated. A new numerical procedure for calculating the fuzzy solution is designed and a sufficient condition for the existence of strong fuzzy solution is derived. Some examples are given to illustrate the proposed method. | ||
کلیدواژهها | ||
Fuzzy numbers؛ matrix analysis؛ fuzzy matrix equation؛ fuzzy approximate solutions | ||
مراجع | ||
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