| 关于一类有限格蕴涵代数方程的解法 |
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| 引用本文： | 潘小东,徐扬.关于一类有限格蕴涵代数方程的解法[J].模糊系统与数学,2006,20(6):51-57. |
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| 作者姓名： | 潘小东 徐扬 |
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| 作者单位： | 西南交通大学,数学系,四川,成都,610031 |
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| 基金项目： | 国家自然科学基金资助项目(60474022) |
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| 摘 要： | 研究一类含有有限个未知量且含有蕴涵算子的格蕴涵代数方程,给出方程有解的充分必要条件。在方程的解集非空时,讨论解集的一些结构性质。并刻画出方程在具有某种限制条件下的整个解集。最后,相关结论被应用到一个数值例子。
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| 关 键 词： | 格蕴涵代数 格蕴涵代数方程 最大解 解集 |
| 文章编号： | 1001-7402（2006）06-0051-07 |
| 收稿时间： | 2005-09-24 |
| 修稿时间： | 2005-11-20 |
On Method of a Class of Finite Lattice Implication Algebraic Equations |
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| Pan Xiao-dong,XU Yang.On Method of a Class of Finite Lattice Implication Algebraic Equations[J].Fuzzy Systems and Mathematics,2006,20(6):51-57. |
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| Authors: | Pan Xiao-dong XU Yang |
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| Institution: | Department of Mathematics,Southwest Jiaotong University,Chengdu 610031 ,China |
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| Abstract: | In this paper, a class of lattice implication algebraic equations, which contain finite unknown quantities and implication operator,is investigated,the sufficient and necessary conditions for existence of solution for the equations are given. When its solution set is nonempty, some structural properties of solution set is considered. Under some restricted conditions, the whole solution set of equations are represented. Finally, the corresponding results are applied to a numerical example. |
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| Keywords: | Lattice Implication Algebra Lattice Implication Algebraic Equation Maximal Solution Solution Set |
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