دانشگاه سیستان و بلوچستان

  اخبار و اعلانات

 آمار

تعداد نشریات32
تعداد شماره‌ها744
تعداد مقالات7,240
تعداد مشاهده مقاله11,961,237
تعداد دریافت فایل اصل مقاله8,164,818
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
مراجع
[1] S. Abbasbandy, M. Otadi, M. Mosleh, Minimal solution of general dual fuzzy linear systems, Chaos, Solitons and
Fractals, 37 (2008), 1113-1124.

[2] T. Allahviranlo, A comment on fuzzy linear systems (Discussion), Fuzzy Sets and Systems, 140 (2003), 559.

[3] T. Allahviranlo, M. Ghanbari, A. A. Hosseinzadeh, E. Haghi, R. Nuraei, A note on fuzzy linear systems, Fuzzy
Sets and Systems, 177 (2011), 87-92.

[4] T. Allahviranlo, M. Ghanbari, On the algebraic solution of fuzzy linear systems based on interval theory, Applied
Mathematical Modelling, 36 (2012), 5360-5379.

[5] T. Allahviranlo, M. A. Kermani, Solution of a fuzzy system of linear equation, Applied Mathematics and Computation, 175 (2006), 519-531.

[6] B. Asady, S. Abbasbandy, M. Alavi, Fuzzy general linear systems, Applied Mathematics and Computation, 169
(2005), 34-40.

[7] A. Ben-Israel, T. N. E. Greville, Generalized inverses, theory and applications, Springer, New York, 2003.

[8] J. J. Buckley, Y. Qu, Solving systems of linear fuzzy equations, Fuzzy Sets and Systems, 43 (1991), 33-43.

[9] R. Das, F. Smarandache, B. C. Tripathy, Neutrosophic fuzzy matrices and some algebraic operation, Neutrosophic
Sets and Systems, 32 (2020), 401-409.

[10] D. Dubois, H. Prade (eds.), Fundamentals of fuzzy sets, The Handbooks of Fuzzy Sets Series, 1, Kluwer Academic
Publishers, Dordrecht, 2000.

[11] M. Friedman, M. Ming, A. Kandel, Fuzzy linear systems, Fuzzy Sets and Systems, 96 (1998), 201-209.

[12] M. Ghanbari, Fuzzy inclusion linear systems, Iranian Journal of Fuzzy Systems, 14(4) (2017), 117-137.

[13] M. Ghanbari, T. Allahviranloo, W. Pedrycz, A straightforward approach for solving dual fuzzy linear systems,
Fuzzy Sets and Systems, 435 (2022), 89-106.

[14] W. A. Lodwick, D. Dubois, Interval linear systems as a necessary step in fuzzy linear systems, Fuzzy Sets and
Systems, 281 (2015), 227-251.

[15] B. Mihailovi´c, V. Miler Jerkovi´c, B. Maleˇsevi´c, Solving fuzzy linear systems using a block representation of generalized inverses: The Moore-Penrose inverse, Fuzzy Sets and Systems, 353 (2018), 44-65.

[16] B. Mihailovi´c, V. Miler Jerkovi´c, B. Maleˇsevi´c, Solving fuzzy linear systems using a block representation of generalized inverses: The group inverse, Fuzzy Sets and Systems, 353 (2018), 66-85.

[17] V. Miler Jerkovi´c, B. Maleˇsevi´c, Block representation of generalized inverses of matrices, Proceedings of the fifth
Symposium “Mathematics and applications”, organized by Faculty of Mathematics, University of Belgrade and
Serbian Academy of Sciences and Arts, 1 (2014), 176-185, (available at https://www.researchgate.net/).

[18] V. Miler Jerkovi´c, B. Mihailovi´c, B. Maleˇsevi´c, A new method for solving square fuzzy linear systems, In: J.
Kacprzyk, E. Szmidt, S. Zadrozny, K. Atanassov, M. Krawczak (eds.) Advances in Fuzzy Logic and Technology
2017. IWIFSGN 2017, EUSFLAT 2017. Advances in Intelligent Systems and Computing, Springer, Cham., 642
(2017), 278-289.

[19] R. Penrose, A generalized inverses for matrices, Mathematical Proccedings of the Cambridge Philosophical Society,
51 (1955), 406-413.

[20] C. A. Rohde, Contribution of the theory, computation and application of generalized inverses (PhD dissertation), University of North Carolina at Releigh, 1964. (http://www.stat.ncsu.edu/information/library/mimeo.php / pdf
392.)

آمار
تعداد مشاهده مقاله: 269
تعداد دریافت فایل اصل مقاله: 378


سامانه مدیریت نشریات علمی. طراحی و پیاده سازی از سیناوب