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The Constructional Research of Fuzzy Entropy of Vague Sets |
ZHU LiuBing, YANG Bin, CHEN JiDong |
School of Computer Science and Communication Engineering, Southwest Jiaotong University, Chengdu 610031 |
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Abstract In this paper, three existing constructional methods of fuzzy entropy of vague sets are analyzed and their deficiencies are pointed out. A new method is proposed through analyzing the basic properties of fuzzydegree of vague sets. In addition, a constructional method of probability fuzzy entropy of vague sets is also provided.
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Received: 20 October 2004
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[1] Li F, Lü Z H, Cai L J. The Entropy of Vague Sets Based on Fuzzy Sets. Journal of Huazhong University of Science and Technology (Nature Science), 2003, 31(1): 1-3 (in Chinese) (李 凡,吕泽华,蔡立晶. 基于Fuzzy集的Vague集的模糊熵.华中科技大学学报(自然科学版), 2003, 31(1): 1-3) [2] Li F, Lu A, Cai L J. Fuzzy Entropy of Vague Sets and Its Construction Method. Computer Applications and Software, 2002, 19(2): 10-12 (in Chinese) (李 凡,卢 安,蔡立晶.关于Vague集的模糊熵及其构造. 计算机应用与软件, 2002, 19(2): 10-12) [3] Zhang C Y, Dang P A, Li D Y. Note on “Fuzzy Entropy of Vague Sets and Its Construction Method”. Computer Applications and Software, 2004, 21(5): 27-28 (in Chinese) (张诚一,党平安,李东亚.“关于Vague集的模糊熵及其构造”的注记.计算机应用与软件,2004, 21(5): 27-28) [4] He Z X. Fuzzy Mathematics and Its Application. Tianjin, China: Tianjin Science and Technology Press, 1983 (in Chinese) (贺仲雄. 模糊数学及其应用. 天津:天津科学技术出版社, 1983) [5] Gau W L, Buehrer D J. Vague Sets. IEEE Trans on Systems, Man, and Cybemetics, 1993, 23(2): 610-614 [6] Wang W J, Chiu C H. Entropy and Information Energy for Fuzzy Sets. Fuzzy Sets and System, 1999, 108(3): 333-339 |
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