| 基于区间数度量的区间值模糊集合的贴近度和模糊度的关系 |
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| 引用本文： | 曾文艺,赵宜宾. 基于区间数度量的区间值模糊集合的贴近度和模糊度的关系[J]. 模糊系统与数学, 2012, 26(1): 25-31 |
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| 作者姓名： | 曾文艺 赵宜宾 |
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| 作者单位： | 1. 北京师范大学信息科学与技术学院,北京,100875
2. 北京师范大学信息科学与技术学院,北京 100875;防灾科技学院基础部,北京东燕郊065201 |
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| 摘 要： | 给出了基于区间数度量的区间值模糊集合的贴近度和模糊度的概念,详细研究了区间值模糊集合的贴近度和模糊度之间的关系,并基于公理化定义,证明了它们二者之间的相互转化关系,最后,给出了若干公式来计算区间值模糊集合的贴近度和模糊度。
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| 关 键 词： | 区间值模糊集合 模糊集 贴近度 模糊度 区间数 |
Relationship between Similarity Measure and Entropy of Interval-valued Fuzzy Sets Based on Interval-number Measurement |
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| ZENG Wen-yi , ZHAO Yi-bin. Relationship between Similarity Measure and Entropy of Interval-valued Fuzzy Sets Based on Interval-number Measurement[J]. Fuzzy Systems and Mathematics, 2012, 26(1): 25-31 |
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| Authors: | ZENG Wen-yi ZHAO Yi-bin |
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| Affiliation: | 1,2(1.College of Information Science and Technology,Beijing Normal University,Beijing 100875,China;2.Departmentof Basic Course,Institute of Disaster Prevention Science and Technology,Yanjiao East of Beijing 065201,China) |
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| Abstract: | In this paper,we introduce the concepts of similarity measure and entropy of interval-valued fuzzy sets based on interval-number measurement,investigate the relationship between similarity measure and entropy of interval-valued fuzzy sets in detail and prove that they can be transformed by each other based on their axiomatic definitions.Finally,we propose some new formulas to calculate similarity measure and entropy of interval-valued fuzzy sets. |
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| Keywords: | Interval-valued Fuzzy Set Fuzzyset Similarity Measure Entropy Interval-number |
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