| 非负整数格上元素的性质及其在刻画@-Fuzzy关系方程解集中的作用 |
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| 引用本文： | 舒乾宇,夏嫦,王学平.非负整数格上元素的性质及其在刻画@-Fuzzy关系方程解集中的作用[J].模糊系统与数学,2008,22(6). |
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| 作者姓名： | 舒乾宇 夏嫦 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. 仰恩大学,数学系,福建,泉州,362014 |
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| 基金项目： | 国家自然科学基金资助项目
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| 摘 要： | 首先讨论了非负整数格上元素的性质. 从而完全地刻画了非负整数格上@-Fuzzy关系方程(其中@表示inf-α合成)的解集.
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| 关 键 词： | 非负整数格 @-Fuzzy关系方程 交既约元 完全交既约元 解集 |
Some Properties of Elements in Nonnegative Integer Lattice and Their Applications to Describe the Solution Sets of Relations @-Fuzzy Relational Equations |
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| SHU Qian-yu,XIA Chang,WANG Xue-ping.Some Properties of Elements in Nonnegative Integer Lattice and Their Applications to Describe the Solution Sets of Relations @-Fuzzy Relational Equations[J].Fuzzy Systems and Mathematics,2008,22(6). |
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| Authors: | SHU Qian-yu XIA Chang WANG Xue-ping |
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| Institution: | SHU Qian-yu,XIA Chang,WANG Xue-ping (Department of Mathematics,Sichuan Normal University,Chengdu 610066,China) |
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| Abstract: | In this paper,we frist discuss some properties of elements in nonnegative integer lattice.Further we discribe the solution sets of @-Fuzzy relational equation on finite and infinite domains. |
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| Keywords: | Nonnegative Integer Lattice @-Fuzzy Relational Equation Meet-irreducible Element Completely Meet-irreducible Element Solution Sets |
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