| 无限Fuzzy关系方程的解集 |
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| 引用本文： | 岳芹,谭宜家.无限Fuzzy关系方程的解集[J].数学的实践与认识,2009,39(24). |
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| 作者姓名： | 岳芹 谭宜家 |
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| 作者单位： | 1. 皖西学院数理系,安徽六安,237012
2. 福州大学数学与计算机科学学院,福建,福州,350002 |
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| 摘 要： | 对(0,1)格上的无限Fuzzy关系方程,给出其可解的充要条件.利用可达解与不可达解的概念,给出方程存在可达解与不可达解的充要条件.进一步,在解集非空时,刻画了方程的解集的结构及性质.
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| 关 键 词： | 无限Fuzzy关系方程 充要条件 极小解 解集 |
The Solution Set of Fuzzy Relational Equation in Infinite Domains |
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| Abstract: | This paper deals with fuzzy relational equation in infinite domains.A necessary and sufficient condition for solvability of the equation is given.By the definitons of attainable solution and unattainable solution,a necessary and sufficient condition describing the attainable solution(resp.the unattainable solution) is given.Furthermore,when the solution set of the equation is not empty,the structure and propositons of the solution set is characterized. |
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| Keywords: | fuzzy relational equation necessary and sufficient condition minimal solution solution set |
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