| 直觉模糊β-覆盖信息系统及其之间的同态 |
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| 引用本文： | 张利娟,杨海龙.直觉模糊β-覆盖信息系统及其之间的同态[J].吉林大学学报(理学版),2002,58(1):70-76. |
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| 作者姓名： | 张利娟 杨海龙 |
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| 作者单位： | 陕西师范大学 数学与信息科学学院, 西安 710119 |
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| 摘 要： | 首先给出直觉模糊映射的定义, 并考察直觉模糊β-覆盖在该映射下的不变性; 然后分别给出映射关于直觉模糊集和直觉模糊β-覆盖相容的概念, 并讨论相关性质; 最后提出直觉模糊β-覆盖信息系统及其同态的概念, 并研究直觉模糊β 覆盖信息系统间同态的性质.
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| 关 键 词： | 直觉模糊映射 直觉模糊β-覆盖 直觉模糊β-覆盖信息系统 同态 |
| 收稿时间： | 2019-04-09 |
Intuitionistic Fuzzy β-Coverings InformationSystems and Their Homomorphisms |
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| ZHANG Lijuan,YANG Hailong.Intuitionistic Fuzzy β-Coverings InformationSystems and Their Homomorphisms[J].Journal of Jilin University: Sci Ed,2002,58(1):70-76. |
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| Authors: | ZHANG Lijuan YANG Hailong |
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| Institution: | School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China
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| Abstract: | Firstly, we gave the definition of intuitionistic fuzzy mapping and investigated the invariable properties of intuitionistic fuzzy β-covering under the mapping. Secondly, we gave the concepts of the mapping about intuitionistic fuzzy sets and intuitionistic fuzzy β-coveringcompatibility, respectively, and discussed the related properties. Finally, we proposed the concepts of the intuitionistic fuzzy β-coveringinformation system and their homomorphism, and investigated properties of the homomorphism betweenthe intuitionistic fuzzy β-covering information systems. |
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| Keywords: | intuitionistic fuzzy mapping intuitionistic fuzzy β-covering intuitionistic fuzzy β-covering information system homomorphism
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