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对偶完全模糊线性系统的模糊近似解

Fuzzy approximate solution of dual fully fuzzy linear systems
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摘要 讨论对偶完全模糊线性系统(DFFLS)~M^x+~a=~N^x+b^(其中^M、^N是由LR模糊数组成的n×n型模糊方阵,^x^、a、b^是由LR模糊数组成的n维模糊向量)的模糊近似解,给出其模糊近似解的直接算法和Cramer规则算法,并通过具体算例验证两种算法的可行性. The fuzzy approximate solution of the dual fully fuzzy linear system(DFFLS)~M^x+~a=~N^x+b~ was discussed, where ~M、~N and ~x、~a、b~ being n × n fuzzy square matrix and n-dimension fuzzy vector, composed of LR fuzzy number respectively. The direct method and the Cramer rule method for solving the dual fully fuzzy linear system were given. And a numerical example of the solution validated the feasibility of these two methods.
作者 巩增泰 刘坤
出处 《兰州理工大学学报》 CAS 北大核心 2009年第3期150-155,共6页 Journal of Lanzhou University of Technology
基金 国家自然科学基金(10771171) 甘肃省高校研究生导师科研基金(0803RJZA108)
关键词 LR模糊数 模糊近似解 对偶完全模糊线性系统(DFFLS) LR fuzzy number fuzzy approximate solutions dual fully fuzzy linear system(DFFLS)
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