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| 蕴涵区间直觉模糊粗糙集及其性质 | |
| 引用本文： | 林梦雷,杨伟萍.蕴涵区间直觉模糊粗糙集及其性质[J].山东大学学报(理学版),2011,46(8):104-109. |
| 作者姓名： | 林梦雷 杨伟萍 |
| 作者单位： | 1.漳州师范学院计算机科学与工程系, 福建 漳州 363000; 2.漳州师范学院数学与信息科学系, 福建 漳州 363000 |
| 基金项目： | 国家自然科学基金资助项目(10971186);福建省自然科学基金资助项目(2009J01016) |
| 摘 要： | 在区间直觉模糊近似空间上,利用一对区间直觉模糊蕴涵算子(I,J),定义了蕴涵区间直觉模糊粗糙集的概念,并证明了相应的一些重要性质。最后,对区间直觉模糊关系的自反性,对称性和传递性进行了刻画。 |
| 关 键 词： | 区间直觉模糊近似算子 区间直觉模糊集 区间直觉模糊粗糙集 区间直觉模糊关系 蕴涵算子 |
| 收稿时间： | 2010-12-19 |
Properties of interval-valued intuitionistic fuzzy rough sets with implicators |
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| LIN Meng-lei,YANG Wei-ping.Properties of interval-valued intuitionistic fuzzy rough sets with implicators[J].Journal of Shandong University,2011,46(8):104-109. | |
| Authors: | LIN Meng-lei YANG Wei-ping |
| Institution: | 1. Department of Computer Science and Engineering, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China; 2. Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China |
| Abstract: | By employing two interval-valued intuitionistic fuzzy implicators I and J, interval-valued intuitionistic fuzzy rough sets with implicators are first defined in the interval valued intuitionistic fuzzy approximation space. Properties of interval-valued intuitionistic fuzzy rough sets with implicators are proved. Finally, the reflexivity, symmetry and transitivity of interval-valued intuitionistic fuzzy relations are characterized. |
| Keywords: | interval-valued intuitionistic fuzzy approximation operators interval-valued intuitionistic fuzzy sets inter-val-valued intuitionistic fuzzy rough sets interval-valued intuitionistic fuzzy relation implicator |
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