|
|||||
|
|
| 直觉模糊关系的截集性质 | |
| 引用本文： | 周磊,吴伟志,张文修.直觉模糊关系的截集性质[J].模糊系统与数学,2009,23(2). |
| 作者姓名： | 周磊 吴伟志 张文修 |
| 作者单位： | 1. 西安交通大学,理学院,信息与系统科学研究所,陕西,西安,710049;浙江海洋学院,数理与信息学院,浙江,舟山,316004 2. 浙江海洋学院,数理与信息学院,浙江,舟山,316004 3. 西安交通大学,理学院,信息与系统科学研究所,陕西,西安,710049 |
| 基金项目： | 国家自然科学基金，浙江省自然科学基金 |
| 摘 要： | 定义了直觉模糊关系的截集以及并给出了它们的基本性质,同时分别讨论了自反、对称、传递直觉模糊关系与经典二元关系之间的等价刻画;其次,提出直觉模糊关系的定义域与值域的概念;最后,分析了直觉模糊关系合成的截集性质. |
| 关 键 词： | 直觉模糊关系 截集 直觉模糊集 二元关系 |
On Properties of the Cut-sets of Intuitionistic Fuzzy Relations |
|
| ZHOU Lei,WU Wei-zhi,ZHANG Wen-xiu.On Properties of the Cut-sets of Intuitionistic Fuzzy Relations[J].Fuzzy Systems and Mathematics,2009,23(2). | |
| Authors: | ZHOU Lei WU Wei-zhi ZHANG Wen-xiu |
| Institution: | 1.Institute for Information and System Sciences;Facultyof Science;Xi'an Jiaotong University;Xi'an 710049;China;2.School of Mathematics;Physics and Information Science;Zhejiang Ocean University;Zhoushan 316004;China |
| Abstract: | In this paper,the cut-sets of intuitionistic fuzzy relations are first defined and their properties are examined.Connections between intuitionistic fuzzy relations and their induced crisp binary relations are also investigated.The concepts of domain and range of an intuitionistic fuzzy relation are then defined.Finally,a "max-min" compositions of intuitionistic fuzzy relations are introduced and their properties are discussed. |
| Keywords: | Intuitionistic Fuzzy Relation Cut-set Intuitionistic Fuzzy Set Binary relation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |