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完全模糊线性系统的模糊近似解 被引量：2

Calculated fuzzy approximate solutions for fully fuzzy linear systems
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摘要 对完全模糊线性系统=,当为模糊方阵或模糊长方阵时进行了讨论.扩充了LR-模糊数的定义,讨论了完全模糊线性系统的模糊近似解和非负模糊近似解,并应用矩阵的广义逆阵A^-,讨论了广义完全模糊线性系统的模糊近似解和非负模糊近似解.最后给出了具体算例. The fully fuzzy linear system （shown as FFLS） ^~A ×^~x =^~ b whose coefficient matrix is a fuzzy or square fuzzy matrix, was discussed. The definition of the LR fuzzy number was extended, and the fuzzy approximate solutions and non-negative fuzzy approximate solutions to the FFLS were discussed. Through the generalized inverse matrix A^-, the fuzzy approximate solutions and non-negative fuzzy approximate solutions of the generalized FFLS were investigated. Finally, a test example was given.
作者 巩增泰 刘坤
机构地区 西北师范大学数学与信息科学学院 陇东学院数学系
出处 《兰州大学学报（自然科学版）》 CAS CSCD 北大核心 2009年第1期78-82,共5页 Journal of Lanzhou University(Natural Sciences)
基金 国家自然科学基金项目(10771171) 甘肃省教育厅科研基金项目(0601-20)
关键词 LR-模糊数 模糊近似解 完全模糊线性系统 LR-fuzzy number fuzzy approximate solution fully fuzzy linear system
分类号 O159 [理学—基础数学]
  • 相关文献

参考文献10

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二级参考文献12

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共引文献51

同被引文献16

  • 1巩增泰,吴冲,陈得刚.n维模糊数的序、距离、确界及其逼近问题[J].兰州大学学报（自然科学版）,2006,42(4):95-100. 被引量：7
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  • 6M. Dehghan, B. Hashemi, G. Mehdi. Solution of The Fully Fuzzy Linear Systems Using Iterative Teckniques[J]. Chaos, Solutions And Fractala, 2007,34(2) :316 -336.
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引证文献2

二级引证文献1

兰州大学学报（自然科学版）
2009年 第1期

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