|
|||||
|
|
| 半群中的粗糙模糊理想及粗糙模糊素理想 | |
| 引用本文： | 刘文军,谷云东,李洪兴.半群中的粗糙模糊理想及粗糙模糊素理想[J].模糊系统与数学,2007,21(3):127-132. |
| 作者姓名： | 刘文军 谷云东 李洪兴 |
| 作者单位： | 1. 长沙理工大学,数学与计算科学学院,湖南,长沙,410076 2. 华北电力大学(北京)数理系,北京,102206 3. 北京师范大学,数学科学学院,北京,100875 |
| 基金项目： | Supported by National Natural Science Foundation of China(70501006)，Natural Science Foundation of Hunan Province(06JJ50419)，Science Research Fund of Hunan Provincial Education Department(06C097)，Research start Foundation of Changsha University of Science and Technology(52129905) |
| 摘 要： | 将粗糙集的理论方法用于模糊半群的研究。给出上(下)粗模糊子半群及上(下)粗模糊左(右)理想、粗糙模糊素理想等概念,研究它们的有关性质。证明上粗模糊子半群与上粗模糊理想是通常的模糊子半群与模糊理想概念的扩张。 |
| 关 键 词： | 同余关系 半群 粗糙模糊理想 粗糙模糊素理想 |
| 文章编号： | 1001-7402（2007）03-0127-06 |
| 收稿时间： | 2005-12-24 |
| 修稿时间： | 2005-12-24 |
Rough Fuzzy Ideals and Rough Fuzzy Prime Ideals in Semigroups |
|
| LIU Wen-jun,GU Yun-dong,LI Hong-xing.Rough Fuzzy Ideals and Rough Fuzzy Prime Ideals in Semigroups[J].Fuzzy Systems and Mathematics,2007,21(3):127-132. | |
| Authors: | LIU Wen-jun GU Yun-dong LI Hong-xing |
| Institution: | 1. School of Mathematics and Computing Science,Changsha University of Science and Technology, Changsha 410076,China; 2. Department of Mathematics and Phisics,North China Electirc Power University, Beijing 102206,China ; 3. Department of Mathematics,Beijing Normal University,Beijing 100875,China |
| Abstract: | Based on rough set theory,we study the mathematical structure on the fuzzy semigroup.First,the lower and upper rough fuzzy semigroup,the left and the right rough fuzzy ideal and the rough fuzzy prime ideal are defined.Then the properties of these mathematical structures are researched.We prove that the upper rough fuzzy semigroup and the left(right,two-side) ideal are the generalization of corresponding notions defined on the fuzzy semigroup. |
| Keywords: | Congruence Relation Semigroup Rough Fuzzy Ideal Rough Fuzzy Prime Ideal |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |