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广义区间二型模糊集合的词计算

莫红 王涛

莫红, 王涛. 广义区间二型模糊集合的词计算. 自动化学报, 2012, 38(5): 707-715. doi: 10.3724/SP.J.1004.2012.00707
引用本文: 莫红, 王涛. 广义区间二型模糊集合的词计算. 自动化学报, 2012, 38(5): 707-715. doi: 10.3724/SP.J.1004.2012.00707
MO Hong, WANG Tao. Computing with Words in Generalized Interval Type-2 Fuzzy Sets. ACTA AUTOMATICA SINICA, 2012, 38(5): 707-715. doi: 10.3724/SP.J.1004.2012.00707
Citation: MO Hong, WANG Tao. Computing with Words in Generalized Interval Type-2 Fuzzy Sets. ACTA AUTOMATICA SINICA, 2012, 38(5): 707-715. doi: 10.3724/SP.J.1004.2012.00707

广义区间二型模糊集合的词计算

doi: 10.3724/SP.J.1004.2012.00707
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 年获得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, 智能计算.

Computing with Words in Generalized Interval Type-2 Fuzzy Sets

  • 摘要: 普通的模糊集合是点值为二维的一型模糊集合,二型模糊集合(Type-2 fuzzy sets, T2 FS)是点值为三维的模糊集合, T2 FS比相应的一型难以理解和计算. 为了让人们更好地理解T2 FS并推广其应用, 本文提出了广义区间二型模糊集合(Generalized interval type-2 fuzzy sets, GIT2 FS)的定义, 并将其分成三类:离散型、半离散型及连续型,分别给出相应的数学表达式与扩展原理公式,并得到了GIT2 FS在两种不同的模糊逻辑算子下的词计算.
  • [1] Zadeh L A. Fuzzy logic = computing with words. IEEE Transactions on Fuzzy Systems, 1996, 4(2): 103-111[2] Adolfo R de Soto. A hierarchical model of a linguistic variable. Information Sciences, 2011, 181(20): 4394-4408[3] Cao Y Z, Chen G Q. A fuzzy petri-nets model for computing with words. IEEE Transactions on Fuzzy Systems, 2010, 18(3): 486-499[4] Aisbett J, Rickard J T, Morgenthaler D. Multivariate modeling and type-2 fuzzy sets. Fuzzy Sets and Systems, 2011, 163(1): 78-95[5] Wu D R, Mendel J M. Computing with words for hierarchical decision making applied to evaluating a weapon system. IEEE Transactions on Fuzzy Systems, 2010, 18(3): 441-460[6] Herrera F, Alonso S, Chiclana F, Herrera-Viedma E. Computing with words in decision making: foundations, trends and prospects. Fuzzy Optimization and Decision Making, 2009, 8(4): 337-364[7] 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[8] Wang F Y. Outline of a computational theory for linguistic dynamic systems: toward computing with words. International Journal of Intelligent Control and Systems, 1998, 2(2): 211-224[9] 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)[10] Rubin S H. Computing with words. IEEE Transactions on Systems, Man, and Cybernetics — Part B: Cybernetics, 1999, 29(4): 518-524[11] 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, SCM-3(1): 28-44[12] Li Jia-Ning, Yi Jian-Qiang, Zhao Dong-Bin, Xi Guang-Cheng. A new fuzzy identification approach for complex systems based on neural-fuzzy inference network. Acta Automatica Sinica, 2006, 32(5): 695-703[13] Mendel J M. Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper-Saddle River, NJ: Prentice-Hall PTR, 2001[14] Wang F Y. Modeling, analysis and synthesis of linguistic dynamic systems: a computational theory. In: Proceedings of IEEE International Workshop on Architecture for Semiotic Modeling and Situation Control in Large Complex Systems. Monterey, CA: IEEE, 1995. 173-178[15] Mendel J M, John R I B. Type-2 fuzzy sets made simple. IEEE Transactions on Fuzzy Systems, 2002, 10(2): 117-127[16] Uncu O, Turksen I B. Discrete interval type 2 fuzzy system models using uncertainty in learning parameters. IEEE Transactions on Fuzzy Systems, 2007, 15(1): 90-106[17] Pan Yong-Ping, Huang Dao-Ping, Sun Zong-Hai. Overview of type-2 fuzzy logic control. Control Theory and Application, 2011, 28(1): 13-23 (潘永平, 黄道平, 孙宗海. Ⅱ型模糊控制综述. 控制理论与应用, 2011, 28(1): 13-23)[18] Zhang Wei-Bin, Hu Huai-Zhong, Liu Wen-Jiang. Traffic flow forecast based on type-2 fuzzy logic approach. Journal of Xi'an Jiaotong University, 2007, 41(10): 1160-1164 (张伟斌, 胡怀中, 刘文江. 基于二型模糊逻辑的交通流量预测. 西安交通大学学报, 2007, 41(10): 1160-1164)[19] 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 (李成栋, 易建强, 余意, 赵冬斌. 柔索驱动并联机构的二型模糊神经逆控制. 自动化学报, 2010, 36(3): 459-464)[20] Hagras H. Type-2 FLCs: a new generation of fuzzy controllers. IEEE Computational Intelligence Magazine, 2007, 2(1): 30-43[21] Lin P Z, Lin C M, Hsu C F, Lee T T. Type-2 fuzzy controller design using a sliding-mode approach for application to DC-DC converters. IEEE Proceedings: Electric Power Applications, 2005, 152(6): 1482-1488[22] Mo Hong, Wang Fei-Yue, Zhao Liang. LDS trajectories under one-to-one mapping 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)[23] Mo Hong, Wang Fei-Yue, Xiao Zhi-Quan, Chen Qian. Stabilities of linguistic dynamic systems based on interval type-2 fuzzy sets. Acta Automatica Sinica, 2011, 37(8): 1018-1024(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): 1018-1024)[24] Wu D R, Mendel J M. Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Transactions on Fuzzy Systems, 2007, 15(6): 1145-1161[25] Mendel J M. An architecture for making judgments using computing with words. International Journal of Applied Mathematics and Computer Sciences, 2002, 12(3): 325-335[26] Wu Q H, Yu D, Xie Z X, Liu J F. Fuzzy probabilistic approximation spaces and their information measures. IEEE Transactions on Fuzzy Systems, 2006, 14(2): 191-201[27] Zadeh L A. The concept of a linguistic variable and its application to approximate reasoning-I. Information Sciences, 1975, 8(3): 199-249[28] Wang Xiao-Bo. Decomposition theorem of type-2 fuzzy sets. Fuzzy Mathematics, 1983, (1): 9-13 (王晓波. 2型Fuzzy 集的分解定理. 模糊数学, 1983, (1): 9-13)[29] Zadeh L A. Soft computing and fuzzy logic. IEEE Software, 1994, 11(6): 48-56
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  • 收稿日期:  2011-08-22
  • 修回日期:  2012-02-23
  • 刊出日期:  2012-05-20

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