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基于区间二型模糊集合的语言动力系统稳定性

莫红 王飞跃 肖志权 陈茜

莫红, 王飞跃, 肖志权, 陈茜. 基于区间二型模糊集合的语言动力系统稳定性. 自动化学报, 2011, 37(8): 1018-1023. doi: 10.3724/SP.J.1004.2011.01018
引用本文: 莫红, 王飞跃, 肖志权, 陈茜. 基于区间二型模糊集合的语言动力系统稳定性. 自动化学报, 2011, 37(8): 1018-1023. doi: 10.3724/SP.J.1004.2011.01018
MO Hong, WANG Fei-Yue, XIAO Zhi-Quan, CHEN Qian. Stabilities of Linguistic Dynamic SystemsBased on Interval Type-2 Fuzzy Sets. ACTA AUTOMATICA SINICA, 2011, 37(8): 1018-1023. doi: 10.3724/SP.J.1004.2011.01018
Citation: MO Hong, WANG Fei-Yue, XIAO Zhi-Quan, CHEN Qian. Stabilities of Linguistic Dynamic SystemsBased on Interval Type-2 Fuzzy Sets. ACTA AUTOMATICA SINICA, 2011, 37(8): 1018-1023. doi: 10.3724/SP.J.1004.2011.01018

基于区间二型模糊集合的语言动力系统稳定性

doi: 10.3724/SP.J.1004.2011.01018
详细信息
    通讯作者:

    莫红 长沙理工大学电气与信息工程学院副教授.2004年获中国科学院研究生院工学博士学位.主要研究方向为语言动力系统与智能计算.本文通信作者. E-mail:mohong72@gmail.com

Stabilities of Linguistic Dynamic SystemsBased on Interval Type-2 Fuzzy Sets

  • 摘要: 运用区间二型模糊集合(Interval type-2 fuzzy sets, IT2 FSs) 的扩展原理将常规的数值函数转化为对应的区间二型模糊函数, 并给出了相应的词计算(Computing with words, CW)方法与算法,最后分析了严格单调情况下基于区间二型模糊集合的单输入单输出系统的语言动力系统(Linguistic dynamic systems, LDS)稳定性.
  • [1] Wang Fei-Yue. Fundamental issues in research of computing with words and linguistic dynamic systems. Acta Automatica Sinica, 2005, 31(6): 844-852(王飞跃. 词计算和语言动力学系统的基本问题和研究. 自动化学报, 2005, 31(6): 844-852)[2] Wang F Y. On the abstraction of conventional dynamic systems: from numerical analysis to linguistic analysis. Information Science, 2005, 171(1-3): 233-259[3] Mo H, Wang F Y. Linguistic dynamic systems based on computing with words and their stabilities. Science in China Series F: Information Sciences, 2009, 52(5): 780-796[4] Zadeh L A. Fuzzy logic = computing with words. IEEE Transactions on Fuzzy Systems, 1996, 4(2): 103-111[5] Zadeh L A. Outline of a new approach to the analysis of complex systems and decision processes. IEEE Transactions on Systems, Man, and Cybernetics, 1973, SMC-3(1): 28-44[6] Juang C F, Huang R B, Lin Y Y. A recurrent self-evolving interval type-2 fuzzy neural network for dynamic systems proceeding. IEEE Transactions on Fuzzy Systems, 2009, 17(5): 1092-1105[7] Du X Y, Ying H. Derivation and analysis of the analytical structures of the interval type-2 fuzzy-PI and PD controller. IEEE Transactions on Fuzzy Systems, 2010, 18(4): 802-814[8] Simon C, Robert J. Geometric type-1 and type-2 fuzzy logic systems. IEEE Transactions on Fuzzy Systems, 2007, 15(1): 3-15[9] Mendel J M. Advances in type-2 fuzzy sets and systems. Information Science, 2007, 177(1): 84-110[10] Niewiadomski A. On finity, countability, cardinalities, and cylindric extensions of type-2 fuzzy sets in linguistic summarization of database. IEEE Transactions on Fuzzy Systems, 2010, 18(3): 532-545[11] Mendel J M, John R I B. Type-2 fuzzy sets made simple. IEEE Transactions on Fuzzy Systems, 2002, 10(2): 117-127[12] Karnik N N, Mendel J M. Operation on type-2 fuzzy sets. Fuzzy Sets and Systems, 2001, 122(2): 327-348[13] Karnik N N, Mendel J M. Centroid of a type-2 fuzzy set. Information Science, 2001, 132(1-4): 195-220[14] Karnik N N, Mendel J M, Liang Q. Type-2 fuzzy logic systems. IEEE Transactions on Fuzzy System, 1999, 7(6): 643-658[15] Wu D R, Mendel J M. Uncertainty measures for intervaltype-2 fuzzy sets. Information Science, 2007, 177(23): 5378-5393[16] Liang Q, Karnik N N, Mendel J M. Connection admission control in ATM networks using survey-based type-2 fuzzy systems. IEEE Transactions on System, Man, and Cybernstics, Part C: Applications and Reviews, 2000, 30(3): 329-339[17] Wu K C. Fuzzy interval control of mobile robots. Computers and Electrical Engineering, 1996, 22(3): 211-229[18] Yager R R. Fuzzy subsets of type II in decisions. Cybernetics and Systems, 1980, 10(1-3): 137-159[19] Mendel J M. Uncertainty, fuzzy logic, and signal processing. Signal Processing, 2000, 80(6): 913-933[20] Aguero J R, Vargas A. Calculating functions of interval type-2 fuzzy numbers for fault current analysis. IEEE Transactions on Fuzzy Systems, 2007, 15(1): 31-40[21] Chen Wei, Sun Zeng-Qi. Research on of type-2 fuzzy logic systems and its application. Fuzzy Systems and Mathematics, 2005, 19(1): 126-135(陈薇, 孙增圻. 二型模糊系统研究与应用. 模糊系统与数学, 2005, 19(1): 126-135)[22] Mo H, Wang F Y, Xiao Z Q. Representation of type-2 fuzzy sets and their operations. In: Proceedings of the Chinese Intelligent Automation Conference. Nanjing, China: Jiangsu Electronic Video Press, 2009. 453-459[23] Zhao Liang. Computing with Words Study and Linguistic Dynamic Systems Research Based on Interval Type-2 Fuzzy Sets Method [Ph.D. dissertation], Institute of Automation, Chinese Academy of Sciences, China, 2009(赵亮. 基于区间二型模糊方法的词计算和语言动力学系统研究 [博士学位论文], 中国科学院自动化研究所, 中国, 2009)[24] Mo Hong, Wang Fei-Yue, Zhao Liang. LDS trajectories under one-to-one mappings in interval type-2 fuzzy sets. Pattern Recognition and Artificial Intelligence, 2010, 23(2): 144-147(莫红, 王飞跃, 赵亮. 一一映射下区间二型模糊集合的语言动力学轨迹. 模式识别与人工智能, 2010, 23(2): 144-147)[25] Li Cheng-Dong, Yi Jian-Qiang, Yu Yi, Zhao Dong-Bin. Inverse control of cable-driven parallel mechanism using type-2 fuzzy neural network. Acta Automatica Sinica, 2010, 36(3): 459-464[26] Zhang Wei-Bin, Hu Huai-Zhong, Liu Wen-Jiang. Traffic forecast of type-2 fuzzy logic and multilayer fuzzy control for intersections community. Systems Engineering —— Theory and Practice, 2008, 28(7): 111-118(张伟斌, 胡怀中, 刘文江. 路口群落交通流的区间二型模糊预测与多级模糊控制. 系统工程理论与实践, 2008, 28(7): 111-118)[27] Wang Fei-Yue. Computing with words and a framework for computational linguistic dynamic systems. Pattern Recognition and Artificial Intelligence, 2001, 14(4): 377-384(王飞跃. 词计算和语言动力学系统的计算理论框架. 模式识别与人工智能, 2001, 14(4): 377-384)
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  • 收稿日期:  2010-11-05
  • 修回日期:  2011-03-09
  • 刊出日期:  2011-08-20

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