| 广义直觉模糊软集的格结构 |
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| 引用本文： | 周小强,李庆国.广义直觉模糊软集的格结构[J].湖南大学学报(自然科学版),2014,41(3):113-116. |
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| 作者姓名： | 周小强 李庆国 |
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| 作者单位： | (1. 湖南大学 数学与计量经济学院, 湖南 长沙410082; 2.湖南理工学院 数学学院, 湖南 岳阳414006) |
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| 基金项目： | 国家自然科学基金资助项目(11101135,11071061,11371130) |
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| 摘 要： | 为推广软集理论的应用范围,研究了广义直觉模糊软集的格结构.介绍了广义直觉模糊软集的概念,给出了广义直觉模糊软集的一些算子及其性质.利用定义的4个交并算子,讨论了广义直觉模糊软集的格结构.最后得到了广义直觉模糊软集的两种格结构,并且证得这两种格都为有界分配格.
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| 关 键 词： | 软集 直觉模糊集 广义模糊软集 广义直觉模糊软集 格 |
Lattice Structures of Generalized Intuitionistic Fuzzy Soft Sets |
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| ZHOU Xiao-qiang,LI qing-guo.Lattice Structures of Generalized Intuitionistic Fuzzy Soft Sets[J].Journal of Hunan University(Naturnal Science),2014,41(3):113-116. |
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| Authors: | ZHOU Xiao-qiang LI qing-guo |
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| Institution: | (1 College of Mathematics and Econometrics, Hunan Univ, Changsha,Hunan410082, China;2. Department of Mathematics, Hunan Institute of Science and Technology, Yueyang,Hunan414006, China) |
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| Abstract: | In order to promote the application of soft sets theory, the lattice structures of generalized intuitionistic fuzzy soft sets were studied. Firstly, the concept of generalized intuitionistic fuzzy soft sets was introduced, and some operations and some of their algebraic properties of generalized intuitionistic fuzzy soft sets were given. Then, the lattice structures of generalized intuitionistic fuzzy soft sets were discussed with four intersections and union operations. Finally, two lattice structures of generalized intuitionistic fuzzy soft sets were obtained, and it is proved that the two lattices are bounded distributive lattices. |
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| Keywords: | soft set intuitionistic fuzzy set generalized fuzzy soft set generalized intuitionistic fuzzy soft set lattice |
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