| 直积群上几类直觉模糊子群及其投影 |
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| 引用本文： | 李晓萍,王贵君. 直积群上几类直觉模糊子群及其投影[J]. 纯粹数学与应用数学, 2009, 25(1): 1-7 |
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| 作者姓名： | 李晓萍 王贵君 |
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| 作者单位： | 天津师范大学管理学院,天津,300387;天津师范大学数学科学学院,天津,300387 |
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| 摘 要： | 给出了直觉模糊子群的性质及其等价命题,并通过定义直觉模糊集的直积与投影,获得了直觉模糊直积群及直觉模糊投影子群,进而在直觉模糊标准子群的条件下,分别讨论了直积群上的直觉模糊正规子群、直觉模糊特征子群、直觉模糊共轭与其直觉模糊投影子群的关系.
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| 关 键 词： | 直觉模糊子群 直觉模糊投影子群 直觉模糊标准子群 直觉模糊共轭 |
A few kinds of intuitionistic fuzzy groups on a direct product group and their projections |
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| LI Xiao-ping,WANG Gui-jun. A few kinds of intuitionistic fuzzy groups on a direct product group and their projections[J]. Pure and Applied Mathematics, 2009, 25(1): 1-7 |
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| Authors: | LI Xiao-ping WANG Gui-jun |
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| Affiliation: | 1.School of Management;Tianjin Normal University;Tianjin 300387;China;2.School of Mathematics;China |
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| Abstract: | In this paper,we give the properties and some equivalent propositions of intuitionistic fuzzy subgroups. By defining the direct product and projections of intuitionistic fuzzy sets,obtain the intuitionstic fuzzy product group and the intuitionistic fuzzy projective subgroups. Furthermore,when the condition of the intuitionistic fuzzy standard subgroup is satisfied,the realationships between the intuitionistic fuzzy normal subgroup,the intuitionistic fuzzy characteristic subgroup,the intuitionistic fuzzy con... |
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| Keywords: | intuitionistic fuzzy subgroups direct product intuitionistic fuzzy projective subgroups intuitionistic fuzzy standard subgroups intuitionistic fuzzy conjugate |
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