اخبار و اعلانات
آمار
| تعداد نشریات | 27 |
| تعداد شماره‌ها | 565 |
| تعداد مقالات | 5,815 |
| تعداد مشاهده مقاله | 8,126,747 |
| تعداد دریافت فایل اصل مقاله | 5,442,742 |
FUZZY INCLUSION LINEAR SYSTEMS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 14، شماره 4، آبان 2017، صفحه 117-137 اصل مقاله (223.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3329 | ||
| نویسنده | ||
Mojtaba Ghanbari 
| ||
| Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran | ||
| چکیده | ||
| In this manuscript, we introduce a new class of fuzzy problems, namely ``fuzzy inclusion linear systems" and propose a fuzzy solution set for it. Then, we present a theoretical discussion about the relationship between the fuzzy solution set of a fuzzy inclusion linear system and the algebraic solution of a fuzzy linear system. New necessary and sufficient conditions are derived for obtaining the unique algebraic solution for a fuzzy linear system. Also, all new concepts are illustrated by numerical examples. | ||
| کلیدواژه‌ها | ||
| Fuzzy linear system؛ Fuzzy inclusion linear system؛ Fuzzy solution set؛ Lower $r$-boundary؛ Upper $r$-boundary | ||
| مراجع | ||
|
[1] T. Allahviranloo, Numerical methods for fuzzy system of linear equations, Applied Mathematics and Computation, 155 (2004), 493–502. [2] T. Allahviranloo and M. Ghanbari, On the algebraic solution of fuzzy linear systems based on interval theory, Applied Mathematical Modelling, 36 (2012), 5360–5379. [3] T. Allahviranloo and M. Ghanbari, Solving Fuzzy Linear Systems by Homotopy Perturbation Method, International Journal of Computational Cognition, 8(2) (2010), 24–30. [4] T.Allahviranloo, M. Ghanbari, A.A. Hosseinzadeh, E. Haghi and R. Nuraei, A note on “Fuzzy linear systems”, Fuzzy Sets and Systems, 177 (2011), 87–92. [5] T. Allahviranloo and M. Ghanbari, A new approach to obtain algebraic solution of interval linear systems, Soft Computing, 16 (2012), 121–133. [6] T. Allahviranloo, E. Haghi and M. Ghanbari, The nearest symmetric fuzzy solution for a symmetric fuzzy linear system, An. St. Univ. Ovidius Constanta, 20(1) (2012), 151–172. [7] T. Allahviranloo and S. Salahshour, Fuzzy symmetric solution of fuzzy linear systems, Journal of Computational and Applied Mathematics, 235(16) (2011), 4545–4553. [8] T. Allahviranloo, R. Nuraei, M. Ghanbari, E. Haghi and A. A. Hosseinzadeh, A new metric for L-R fuzzy numbers and its application in fuzzy linear systems, Soft Computing, 16 (2012), 1743-1754. [9] B. Bede and S. G. Gal, Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations, Fuzzy Sets and Systems, 151 (2005), 581–599. [10] R. Ezzati, Solving fuzzy linear systems, Soft Computing, 15(2010), 193-197. [11] M. Friedman, M. Ming and A. Kandel, Fuzzy linear systems, Fuzzy Sets and Systems, 96(1998), 201–209. [12] M. Ghanbari, T. Allahviranloo and E. Haghi, Estimation of algebraic solution by limiting the solution set of an interval linear system, Soft Computing, 16(12) (2012), 2135–2142. [13] M. Ghanbari and R. Nuraei, Convergence of a semi-analytical method on the fuzzy linear systems, Iranian Journal of Fuzzy Systems, 11(4) (2014), 45–60. [14] M. Ghanbari and R. Nuraei, Note on new solutions of LR fuzzy linear systems using ranking functions and ABS algorithms, Fuzzy Inf. Eng., 5(3) (2013), 317–326. [15] O. Kaleva and S. Seikkala, On fuzzy metric spaces, Fuzzy Sets and Systems, 12 (1984), 215–229. [16] R. Nuraei, T. Allahviranloo and M. Ghanbari, Finding an inner estimation of the solution set of a fuzzy linear system, Applied Mathematical Modelling, 37 (2013), 5148–5161. [17] C. Wu and M. Ming, On embedding problem of fuzzy number space: Part 1, Fuzzy Sets and Systems, 44 (1991), 33–38. | ||
|
آمار تعداد مشاهده مقاله: 470 تعداد دریافت فایل اصل مقاله: 523 |
||
