| 非负整数格上Fuzzy关系方程的解集 |
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| 引用本文： | 屈小兵,麦麦提明阿不都克里木,王学平.非负整数格上Fuzzy关系方程的解集[J].四川师范大学学报(自然科学版),2004,27(6):559-563. |
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| 作者姓名： | 屈小兵 麦麦提明阿不都克里木 王学平 |
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| 作者单位： | 1. 四川师范大学,数学与软件科学学院,四川,成都,610066
2. 喀什师范学院,数理系,新疆,喀什,844007 |
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| 基金项目： | 四川省教育厅重点科研基金资助项目 |
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| 摘 要： | 在一种特殊的完备Brouwerian格即非负整数格上对Fuzzy关系方程的解集作了深入探讨．首先讨论了解存在的条件及解集的性质，然后在解集非空时给出了整个解集，最后讨论了不同系数方程的解集的关系。
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| 关 键 词： | 非负整数格 Fuzzy关系方程 解集 |
| 文章编号： | 1001-8395(2004)06-0559-05 |
| 修稿时间： | 2003年10月29 |
The Solution Sets of a Fuzzy Relational Equation in a Nonnegative Integer Lattice |
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| QU Xiao-bing,MAIMAITIMING Abudukelimu,WANG Xue-ping.The Solution Sets of a Fuzzy Relational Equation in a Nonnegative Integer Lattice[J].Journal of Sichuan Normal University(Natural Science),2004,27(6):559-563. |
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| Authors: | QU Xiao-bing MAIMAITIMING Abudukelimu WANG Xue-ping |
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| Institution: | QU Xiao-bing~1,MAIMAITIMING Abudukelimu~2,WANG Xue-ping~1 |
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| Abstract: | In this paper,the solution set of a finite fuzzy relational equation is incestigated in a nonnegative integer lattice which is a special complete Brouwerian lattice.First,a necessary and sufficient condition for existence of a solution and some properties of the solution set are shown.Then the solution set of the fuzzy relational equation is given in a nonnegative integer lattice when the solution set of the equation is nonempty. Finally, the relation of solution sets of some equations in which the coefficients are different is investigated. |
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| Keywords: | Nonnegative integers lattice Fuzzy relational equation Solution set |
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