| 区间犹豫模糊熵和区间犹豫模糊相似度 |
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| 引用本文： | 李香英.区间犹豫模糊熵和区间犹豫模糊相似度[J].计算机工程与应用,2014,50(19):227-231. |
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| 作者姓名： | 李香英 |
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| 作者单位： | 山东青年政治学院 信息工程学院，济南 250014 |
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| 摘 要： | 基于犹豫模糊熵的概念，提出了区间犹豫模糊熵和相似度的概念，同时研究了它们之间的相互关系。给出了区间犹豫模糊熵的公理化定义，在此基础上构造了两种形式的熵测度公式，并且证明了它们满足区间犹豫模糊熵的四条公理化准则；依据区间犹豫模糊熵引入了区间犹豫模糊加权熵的概念；提出了区间犹豫模糊相似度的概念，并且研究了区间犹豫模糊环境下的熵和相似度之间的关系。
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| 关 键 词： | 区间犹豫模糊集 熵 相似度 |
Interval-valued hesitant fuzzy entropy and interval-valued hesitant fuzzy similarity measures |
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| LI Xiangying.Interval-valued hesitant fuzzy entropy and interval-valued hesitant fuzzy similarity measures[J].Computer Engineering and Applications,2014,50(19):227-231. |
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| Authors: | LI Xiangying |
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| Affiliation: | College of Information Engineering, Shandong Youth University of Political Science, Ji’nan 250014, China |
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| Abstract: | Based on the concept of hesitant fuzzy entropy, this paper introduces the concepts of entropy and similarity measures for interval-valued hesitant fuzzy information, and discusses their relationships. Firstly, the axiomatic definition of entropy for interval-valued hesitant fuzzy sets is proposed. Two entropy measure formulas are further developed, and they satisfies four axiomatic requirements of interval-valued hesitant fuzzy entropy. Then, the paper presents the concept of the interval-valued hesitant fuzzy weighted entropy depending on the interval-valued hesitant fuzzy entropy. Finally,the concept of interval-valued hesitant fuzzy similarity measures is given, and it studies the relationships between interval-valued hesitant fuzzy similarity measures and interval-valued hesitant fuzzy entropy. |
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| Keywords: | Interval-Valued Hesitant Fuzzy Sets(IVHFS) entropy similarity measures |
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