| 直觉模糊软群与直觉模糊正规软群 |
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| 引用本文： | 周锋,姚炳学.直觉模糊软群与直觉模糊正规软群[J].井冈山大学学报（自然科学版）,2015(2):1-5. |
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| 作者姓名： | 周锋 姚炳学 |
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| 作者单位： | 聊城大学数学科学学院, 山东, 聊城 252059,聊城大学数学科学学院, 山东, 聊城 252059 |
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| 基金项目： | 国家自然科学基金项目(11471152) |
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| 摘 要： | 在直觉模糊集理论的基础上,引入了直觉模糊软群的概念。讨论了其关于软集的交、并运算的性质,研究了直觉模糊软群的结构特征,提出了直觉模糊软映射下直觉模糊软集的像与原像的概念,最后研究了直觉模糊正规软群的概念及性质。
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| 关 键 词： | 直觉模糊集 直觉模糊子群 直觉模糊正规子群 直觉模糊软群 直觉模糊正规软群 |
| 收稿时间： | 2014/12/5 0:00:00 |
| 修稿时间： | 2/6/2015 12:00:00 AM |
INTUITIONISTIC FUZZY SOFT GROUPS AND INTUITIONISTIC FUZZY NORMAL SOFT GROUPS |
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| ZHOU Feng and YAO Bing-xue.INTUITIONISTIC FUZZY SOFT GROUPS AND INTUITIONISTIC FUZZY NORMAL SOFT GROUPS[J].Journal of Jinggangshan University(Natural Sciences Edition),2015(2):1-5. |
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| Authors: | ZHOU Feng and YAO Bing-xue |
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| Institution: | School of Mathematics Science, Liaocheng University, Liaocheng, Shangdong 252059, China and School of Mathematics Science, Liaocheng University, Liaocheng, Shangdong 252059, China |
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| Abstract: | On the basis of intuitionistic fuzzy set theory, we introduce the concept of intuitionistic fuzzy soft group and discuss relevant properties. We also study the structural characteristics of intuitionistic fuzzy soft group and propose the intuitionistic fuzzy soft mapping of intuitionistic fuzzy soft set like with the original concept. Finally we study the intuitionistic fuzzy normal soft group of concepts and properties. |
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| Keywords: | intuitionistic fuzzy sets intuitionistic fuzzy subgroups intuitionistic fuzzy normal subgroup intuitionistic fuzzy soft group intuitionistic fuzzy normal soft group |
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