| 直觉模糊粗糙集的公理化 |
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| 引用本文： | 杨勇,朱晓钟,李廉.直觉模糊粗糙集的公理化[J].合肥工业大学学报(自然科学版),2010,33(4). |
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| 作者姓名： | 杨勇 朱晓钟 李廉 |
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| 作者单位： | 1. 西北师范大学数学与信息科学学院,甘肃,兰州,730070
2. 合肥工业大学计算机与信息学院,安徽,合肥,230009 |
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| 基金项目： | 国家自然科学基金，兰州市科技计划资助项目 |
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| 摘 要： | 直觉模糊粗糙集的公理系统是直觉模糊粗糙集理论与应用的基础,文章定义了直觉模糊集的2种运算,基于这些运算和直觉模糊粗糙集公理化模型,给出直觉模糊粗糙集新的公理系统;该系统用一条简洁的公理描述了直觉模糊粗糙集,为直觉模糊粗糙集理论研究的深入和完善提供了有益的帮助。
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| 关 键 词： | 粗糙集 直觉模糊粗糙集 公理化 |
Axiomatization of intuitionistic fuzzy rough sets |
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| YANG Yong,ZHU Xiao-zhong,LI Lian.Axiomatization of intuitionistic fuzzy rough sets[J].Journal of Hefei University of Technology(Natural Science),2010,33(4). |
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| Authors: | YANG Yong ZHU Xiao-zhong LI Lian |
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| Abstract: | The axiomatic system of intuitionistic fuzzy rough sets is the foundation of the intuitionistic fuzzy rough set theory and its application.Two operations of intuitionistic fuzzy sets are defined in this paper,and a new axiomatic system of intuitionistic fuzzy rough sets is proposed based on the operations and the axiomatization model.The new system describes the intuitionistic fuzzy rough sets through a simple axiom which is helpful to further study of the theory in this respect. |
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| Keywords: | rough set intuitionistic fuzzy rough set axiom |
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