[1]崔建斌,张科.复模糊线性方程组及其应用[J].延边大学学报(自然科学版),2017,43(01):11-14,67.
　CUI Jianbin,ZHANG Ke.Complex fuzzy linear system of equations and its application[J].Journal of Yanbian University,2017,43(01):11-14,67.
点击复制

复模糊线性方程组及其应用

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第43卷 期数: 2017年01期 页码: 11-14,67 栏目: 其他 出版日期: 2017-04-20
Title:
Complex fuzzy linear system of equations and its application
作者:
崔建斌1;  张科2
1.陇东学院 数学与统计学院, 甘肃 庆阳 745000; 2.西北师范大学 数学与统计学院, 甘肃 兰州 730070
Author(s):
CUI Jianbin1;  ZHANG Ke2
1.Mathematics and Statistics Institute, Longdong University, Qingyang 745000, China; 2.College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
关键词:
模糊数;  复模糊线性系统;  复模糊数;  复模糊数中心;  模糊解
Keywords:
fuzzy number;  complex fuzzy linear system;  fuzzy complex number;  complex fuzzy number center;  fuzzy solution
分类号:
O29
文献标志码:
A
摘要:
讨论了复模糊线性方程组Az=w, 其中系数矩阵A是n×n阶实值矩阵, w是复模糊列向量, z是模糊复未知向量.通过使用复模糊数的中心获得了原复模糊线性方程组的模糊复解,并且分析了解的存在性条件,最后用2个数值算例验证了本文方法的可行性.
Abstract:
In this paper, we studied the complex fuzzy system of linear equation Az=w, in which the coefficient matrix A was a rank real valued matrix with n×n, w was a complex fuzzy column vector, and z was an unknown complex fuzzy vector. The fuzzy complex solution of the original complex fuzzy linear equation was expressed by the the complex fuzzy numbers center, and the existence condition of the solution was also discussed. Finally, the feasibility of the method was verified by two numerical examples.

参考文献/References:

[1] Zadeh L A. Fuzzy sets[J]. Inform Control, 1965,8:338-353.
[2] Friedman M, Ming M, Kandel A. Fuuzy linear systems[J]. Fuzzy Sets Syst, 1998,96:201-209.
[3] Asady B, Abbasbandy S, Alavi M. Fuzzy general linear systems[J]. Applied Mathematics and Computation, 2005, 169:34-40.
[4] Dehghan M, Hashemi B, Ghatee M. Computational methods for solving fully fuzzy linear systems[J]. Applied Mathematics and Computation, 2006,179:328-343.
[5] Dehghan M, Hashem B. Solution of the fully fuzzy linear systems using the decomposition procedure[J]. Applied Mathematics and Computation, 2006,182:1568-1580.
[6] Allahviranloo T. Numerical methods for fuzzy system of linear equation[J]. Appl Math, 2005,162:189-196.[7] Wu Cong-Xin, Ma Ming. Embedding problem of fuzzy number space: part I[J]. Fuzzy Sets and Systems, 1991,44:33-38.
[8] Filev D. Fuzzy modeling of complex systems[J]. Int J Approx Reason, 1991,5:281-290.
[9] Buckley J J. Fuzzy complex number[J]. Fuzzy Sets and Systems, 1989,33:333-345.
[10] Dubois D, Prade H. Operations on fuzzy numbers[J]. International Journal of Systems Science, 1978,9:613-626.
[11] Rahgooy T, Yazdi H S, Monsefi R. Fuzzy complex system of linear equation applied to circuit analysis[J]. Int J Comput Electr Eng, 2009,1:535-541.
[12] Jahantigh M A, Khezerloo S, Khezerloo M. Complex fuzzy linear systems[J]. Int J Indust Math, 2010,2:21-28.
[13] Behera D, Chakraverty S. A new method for solving real and complex fuzzy system of linear equation[J]. Comput Math Model, 2012,23(4):507-518.
[14] Behera D, Chakraverty S. Solving fuzzy complex system of linear equation[J]. Information Sciences, 2014,277:154-162.
[15] Guo X, Zhang K. Minimal solution of complex fuzzy linear systems[J]. Advances in Fuzzy Systems, 2016,1:1-9.
[16] Zhang K, Guo X. Solving complex fuzzy linear system of equations by using QR-decomposition method[J]. International Journal of Engineering Research and Science, 2016,2:54-63.
[17] Guo X, Zhang K. Solving fuzzy matrix equation of the form XA=B [J]. Journal of Intelligent & Fuzzy Systems, 2017,32:2771-2778.
[18] 张贤达.矩阵分析与应用[M].北京:清华大学出版社,2004:10-30.

备注/Memo

收稿日期: 2017-01-13 基金项目: 甘肃省科技计划资助项目(1606RJZM092)
作者简介: 崔建斌(1972—),男,副教授,研究方向为数值分析与数据处理.

更新日期/Last Update: 2017-04-20