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| 二级传递性与二级传递模糊矩阵 | |
| 引用本文： | 赵峰,谷云东. 二级传递性与二级传递模糊矩阵[J]. 模糊系统与数学, 2006, 20(5): 59-64 |
| 作者姓名： | 赵峰 谷云东 |
| 作者单位： | 聊城大学,数学科学学院,山东,聊城,252059;北京师范大学,管理学院,北京,100875 |
| 基金项目： | 国家自然科学基金资助项目(60474023，60364001)，教育部博士点基金资助项目(20020027013)，教育部科学技术重点项目(03184)，中国博士后科学基金资助项目(2005037316)，973国家重大基础研究计划项目(2002CB312200) |
| 摘 要： | 推广传递性概念,给出二级传递性的定义;研究二级传递模糊矩阵的性质,给出其若干等价刻画;证明二级传递模糊矩阵或者收敛或者周期为2,指数不大于n 1;讨论二级传递与强传递、k-传递和泛传递等概念之间的关系,指出二级传递是传递性概念的一种新的推广形式。 |
| 关 键 词： | 模糊矩阵 传递性 二级传递 周期 指数 |
| 文章编号： | 1001-7402（2006）05-0059-06 |
| 收稿时间： | 2005-08-28 |
| 修稿时间： | 2005-08-28 |
2-degree Transitivity and 2-degree Transitive Fuzzy Matrix |
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| ZHAO Feng,GU Yun-dong. 2-degree Transitivity and 2-degree Transitive Fuzzy Matrix[J]. Fuzzy Systems and Mathematics, 2006, 20(5): 59-64 | |
| Authors: | ZHAO Feng GU Yun-dong |
| Affiliation: | 1. School of Mathematics Science,Liaocheng University, Liaocheng 252059,China; 2. School of Management,Beijing Normal University,Beijing 100875,China |
| Abstract: | A new kind of transitivity, the 2-degree transitivity, is introduced in this paper. The properties of 2-degree transitive fuzzy matrix, the necessary and sufficient conditions of 2-degree transitivity as well as the periodicity and index of this type fuzzy matrix are studied. Specially, the relations between 2-degree transitivity and some other transitive-related notions, such as, strongly- transitivity, k-transitivity and generalized transitivity etc., are discussed. It is proved that 2-degree transitivity is a new kind of generalization of transitivity conception. |
| Keywords: | Fuzzy Matrix Transitivity 2-degree Transitivity Periodicity and Index |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |