| R_0代数的直觉模糊子代数 |
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| 引用本文： | 许宏伟,张又林,刘卫锋.R_0代数的直觉模糊子代数[J].四川理工学院学报(自然科学版),2014(3):90-93. |
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| 作者姓名： | 许宏伟 张又林 刘卫锋 |
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| 作者单位： | 郑州航空工业管理学院数理系,郑州450015 |
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| 基金项目： | 中国航空工业集团基金项目（2013ZD55006）; 河南省教育厅项目（2013GGJS-142） |
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| 摘 要： | 将直觉模糊集与R0代数相结合,定义了R0代数的直觉模糊子代数的概念。讨论了R0代数的直觉模糊子代数与R0子代数之间的关系;证明了R0代数的直觉模糊子代数的交是R0代数的直觉模糊子代数;定义了R0代数的直觉模糊子代数的像与逆像,证明了R0代数的直觉模糊子代数的同态像和同态逆像也是R0代数的直觉模糊子代数。研究结果进一步丰富和完善了R0代数的模糊理论。
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| 关 键 词： | 模糊逻辑 R0代数 直觉模糊子代数 直觉模糊集 |
Intuitionistic Fuzzy Subalgebra of R_0 Algebra |
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| XU Hongwei,ZHANG Youlin,LIU Weifeng.Intuitionistic Fuzzy Subalgebra of R_0 Algebra[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2014(3):90-93. |
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| Authors: | XU Hongwei ZHANG Youlin LIU Weifeng |
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| Institution: | ( Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China) |
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| Abstract: | Based on the combination of intuitionistic fuzzy set and R0 algebra,the intuitionistic fuzzy subalgebra of R0 algebra is defined. The relation between intuitionistic fuzzy subalgebra of R0 algebra and subalgebra of R0 algebra is discussed. It is proved that the intersection of intuitionistic fuzzy subalgebra of R0 algebra is the intuitionistic fuzzy subalgebra of R0 algebra. The images and inverse images of intuitionistic fuzzy subalgebra of R0 algebra are defined,and it is proved that the images and inverse images under homomorphism of intuitionistic fuzzy subalgebra of R0 algebra are respectively intuitionistic fuzzy subalgebra of R0 algebra. The results further enrich and improve the fuzzy theory of R0 algebra. |
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| Keywords: | fuzzy logic R0 algebra intuitionistic fuzzy subalgebra intuitionistic fuzzy set |
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