| 三参数直觉模糊集上的距离测度 |
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| 引用本文： | 王银军,李克典.三参数直觉模糊集上的距离测度[J].漳州师院学报,2013(3):16-24. |
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| 作者姓名： | 王银军 李克典 |
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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： | 国家自然基金项目（10971185,10971186,71140004）;福建省资助省属高校科研专项（JK2011031）;福建省自然科学基金指导性科技计划项目（2012D141） |
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| 摘 要： | 距离测度是直觉模糊集理论的重要研究内容之一。本文基于三参数区间值模糊集，提出了三参数直觉模糊数与三参数直觉模糊集的概念，给出了三种含隶属度重心点的距离测度，并针对不同决策背景对三参数权重的距离测度进行分析，最后结合实例说明它的有效性。
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| 关 键 词： | 距离测度 隶属度重心 三参数直觉模糊集 |
Distance Measure of Three Parameters Intuitionistic Fuzzy Sets |
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| WANG Yin-jun,LI Ke-dian.Distance Measure of Three Parameters Intuitionistic Fuzzy Sets[J].Journal of ZhangZhou Teachers College(Philosophy & Social Sciences),2013(3):16-24. |
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| Authors: | WANG Yin-jun LI Ke-dian |
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| Institution: | (College of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 36301111, China) |
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| Abstract: | Distance measure is an important research topic in intuitionistic fuzzy sets theory, This paper proposes the concept of three parameters intuitionistic fuzzy number and three parameters intuitionistic fuzzy sets based on three parameters interval-valued fuzzy set, and defines three kinds of distance measure containing the barycenter of membership degree. On the basis, we provides a detailed analysis about weight distance measure of three parameters intuitionistic fuzzy sets based on the different decision background. Finally, we validates the effectiveness of the method through numerical example. |
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| Keywords: | distance measure the barycenter of membership degree three parameters intuitionistic fuzzy sets |
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