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Miler Jerkovic, V., Mihailovic, B., Malesevic, B.. (1402). The general algebraic solution of fuzzy linear systems based on a block representation of {1}-inverses. نشریه علمی دانشگاه سیستان و بلوچستان, 20(3), 115-126. doi: 10.22111/ijfs.2023.7642
V. Miler Jerkovic; B. Mihailovic; B. Malesevic. "The general algebraic solution of fuzzy linear systems based on a block representation of {1}-inverses". نشریه علمی دانشگاه سیستان و بلوچستان, 20, 3, 1402, 115-126. doi: 10.22111/ijfs.2023.7642
Miler Jerkovic, V., Mihailovic, B., Malesevic, B.. (1402). 'The general algebraic solution of fuzzy linear systems based on a block representation of {1}-inverses', نشریه علمی دانشگاه سیستان و بلوچستان, 20(3), pp. 115-126. doi: 10.22111/ijfs.2023.7642
Miler Jerkovic, V., Mihailovic, B., Malesevic, B.. The general algebraic solution of fuzzy linear systems based on a block representation of {1}-inverses. نشریه علمی دانشگاه سیستان و بلوچستان, 1402; 20(3): 115-126. doi: 10.22111/ijfs.2023.7642

The general algebraic solution of fuzzy linear systems based on a block representation of {1}-inverses

Iranian Journal of Fuzzy Systems
دوره 20، شماره 3، مرداد و شهریور 2023، صفحه 115-126    اصل مقاله (366.76 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7642
نویسندگان
V. Miler Jerkovic1؛ B. Mihailovic* 2؛ B. Malesevic3
1Innovation Center, School of Electrical Engineering, University of Belgrade, Belgrade, Serbia
2Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia
3School of Electrical Engineering, University of Belgrade, Belgrade, Serbia
چکیده
A new method for solving a fuzzy linear system (FLS), $A\tilde X=\tilde Y$, where the coefficient matrix $A$ is an arbitrary real matrix is obtained. A necessary and sufficient condition for the ${\cal R}$-consistency of the associated system of linear equations is obtained, related to its
representative solutions.  Moreover, the general form of representative solutions of such linear systems is presented. The straightforward method for solving $m\times n$ FLS based on an arbitrary $\{1\}$-inverse of $A$ is introduced. This method is illustrated by interesting examples.
کلیدواژه‌ها
Fuzzy linear systems؛ generalized inverses؛ singular matrix؛ general solution
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