| 关于模糊集合的层次集函数的注记 |
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| 引用本文： | 周彩莲.关于模糊集合的层次集函数的注记[J].宁波大学学报(理工版),2008,21(1):94-95. |
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| 作者姓名： | 周彩莲 |
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| 作者单位： | 宁波大学理学院,浙江,宁波,315211 |
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| 摘 要： | 给出Wu Hsienchung文章中关于模糊集合层次集函数命题的一个反例,同时给出了模糊集合层次集函数有关性质的正确证明.
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| 关 键 词： | 模糊集合 上半连续 凸 分解定理 |
Notes on Level Function of Fuzzy Sets |
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| ZHOU Cai-lian.Notes on Level Function of Fuzzy Sets[J].Journal of Ningbo University(Natural Science and Engineering Edition),2008,21(1):94-95. |
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| Authors: | ZHOU Cai-lian |
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| Institution: | ZHOU Cai-lian ( Faculty of Science, Ningbo University, Ningbo 315211, China ) |
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| Abstract: | This short note presents a counterexample showing that a result from level function of fuzzy sets in Wu Hsienchung is incorrect,and a correct proof on the convexity of the given fuzzy set is given. |
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| Keywords: | fuzzy set upper semicontinuity convex resolution identity |
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