| 基于包含度的直觉模糊相似度量方法 |
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| 引用本文： | 王毅,雷英杰.基于包含度的直觉模糊相似度量方法[J].计算机工程与应用,2008,44(11):16-18. |
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| 作者姓名： | 王毅 雷英杰 |
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| 作者单位： | 空军工程大学,导弹学院,陕西,三原,713800 |
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| 基金项目： | 国家自然科学基金(the National Natural Science Foundation of China under Grant No.60773209)，陕西省自然科学基金(the NaturalScience Foundation of Shaanxi Province of China under Grant No.2006F18) |
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| 摘 要： | 针对现有文献中涉及到直觉模糊相似度量的计算公式大多是基于直觉模糊距离测度的现状,提出一种基于包含度的直觉模糊相似度量方法。借助模糊蕴涵算子和集合基数,建立了IFS包含度的一系列具体公式,揭示了IFS包含度与相似度的关系,提出了一种基于包含度的IFS相似度量方法,并以具体算例表明该方法不仅可以解决中部分存在的问题,而且为研究IFS相似度量理论开辟一个新的途径。
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| 关 键 词： | 直觉模糊集 包含度 相似度 模糊蕴涵算子 集合基数 |
| 文章编号： | 1002-8331(2008)11-0016-03 |
| 收稿时间： | 2007-12-25 |
| 修稿时间： | 2007年12月25 |
Intuitionistic fuzzy similarity measure approach based on inclusion degrees |
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| WANG Yi,LEI Ying-jie.Intuitionistic fuzzy similarity measure approach based on inclusion degrees[J].Computer Engineering and Applications,2008,44(11):16-18. |
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| Authors: | WANG Yi LEI Ying-jie |
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| Affiliation: | Missile Institute，Air Force Engineering University，Sanyuan，Shaanxi 713800，China |
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| Abstract: | To the status that intuitionistic fuzzy similarity measures exists in present references are mostly based on intuitionistic fuzzy distance measurement,an intuitionistic fuzzy similarity measure based on inclusion degrees is presented.This paper establishes a series of equations on IFS inclusion degrees by using fuzzy implication operators and set cardinal numbers,reveals the relationship between inclusion degrees and similarity measures and proposes an inclusion degree based IFS similarity measure.The instance indicates that the proposed method can not only resolve the problem,and that it provide a new approach for the research on theory of IFS similarity measurement as well. |
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| Keywords: | Intuitionistic Fuzzy Sets(IFS) inclusion degrees similarity measures fuzzy implication operators cardinal numbers set |
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