| 关于L-直觉模糊集截集性质的进一步研究 |
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| 引用本文： | 黄韩亮.关于L-直觉模糊集截集性质的进一步研究[J].海南师院学报,2013(4):355-358. |
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| 作者姓名： | 黄韩亮 |
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| 作者单位： | 闽南师范大学数学与统计学院,福建漳州363000 |
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| 基金项目： | 国家自然科学基金（61379021）;福建省自然科学基金（2011J05013）;漳州师范学院杰出青年培养计划（SJ1005） |
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| 摘 要： | 在L是完全分配格时,利用极大集与极小集所引入的L-直觉模糊集的截集,本文定义了L-直觉模糊凸集的概念,给出其与L-直觉模糊集截集的凸性之间的等价刻画.进一步研究了L-直觉模糊集的二元运算及其相关性质.
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| 关 键 词： | L-直觉模糊凸集 截集 二元运算 |
The Further Reseach on the Properties of the Cut Sets of L-Intuitionistic Fuzzy Sets |
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| HUANG Hanliang.The Further Reseach on the Properties of the Cut Sets of L-Intuitionistic Fuzzy Sets[J].Journal of Hainan Normal University(Humanities and Social Sciences),2013(4):355-358. |
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| Authors: | HUANG Hanliang |
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| Institution: | HUANG Hanliang (School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China) |
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| Abstract: | In this paper, the concepts of the L-intuitionistic fuzzy convex sets where L is a completely distributive lattice were introduced and the equivalent characterizations between L-intuitionistic fuzzy convex sets and the convexity of the cut sets of L-intuitionistic fuzzy sets were given. Finally, the binary operation between two L-intuitionistic fuzzy sets were defined and its relative properties were studied. |
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| Keywords: | L-intuitionistic fuzzy convex set Cut set Binary operation |
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