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| LDS Trajectories under One-to-One Mappings in Interval Type-2 Fuzzy Sets |
| MO Hong1,2,WANG Fei-Yue1,ZHAO Liang1 |
1.The Key Laboratory of Complex Systems and Intelligent Science,Institute of Automation,Chinese Academy of Sciences,Beijing 100080
2.College of Electric and Information Engineering,Changsha University of Science and Technology,Changsha 410114 |
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Abstract The interval type-2 fuzzy extension principle is presented and the conventional one-to-one mapping is abstracted as its interval type-2 fuzzy counterpart. Then, the computing with words procedure based on the interval type-2 fuzzy extension principle is introduced. Finally, the linguistic dynamic trajectories of interval type-2 fuzzy sets are analyzed.
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Received: 28 September 2008
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[1] Zadeh L A. Fuzzy Sets. Information and Control, 1965, 8(3): 338-353
[2] Mo Hong, Wang Feiyue. Linguistic Dynamic Systems Based on Computing with Words and Their Stability. Science in China Series F∶Information Science, 2009, 52(5): 780-796
[3] Mendal J M, John R I. Type-2 Fuzzy Sets Made Simple. IEEE Trans on Fuzzy Systems, 2002, 10(2): 117-127
[4] John R I. Fuzzy Sets of Type-2. Journal of Advanced Computational Intelligence, 1999, 3(2): 499-508
[5] Wang Feiyue. On the Abstraction of Conventional Dynamic Systems: From Numerical Analysis to Linguistic Analysis. Information Science, 2005, 171(1/2/3): 233-259
[6] Wang Feiyue. Modeling, Analysis and Synthesis of Linguistic Dynamic Systems: A Computational Theory // Proc of the IEEE International Workshop on Architecture for Semiotic Modeling and Situation Control in Large Complex Systems. Monterey, USA, 1995: 173-178
[7] Wang Feiyue. Outline of a Computing Theory for Linguistic Dynamical Systems: Towards Computing with Words. International Journal of Intelligent Control and Systems, 1998, 2(2): 211-224
[8] Wang Feiyue. Computing with Words and a Framework for Computational Linguistic Dynamic Systems. Pattern Recognition and Artificial Intelligence, 2001, 14(4): 337-384 (in Chinese)
(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)
[9] Wang Feiyue. Fundamental Issue in Research of Computing with Words and Linguistic Dynamic Systems. Acta Automatica Sinica, 2005, 31(6): 844-852 (in Chinese)
(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] Zadeh L A. The Concept of a Linguistic Variable and Its Application to Approximate Reasoning: Ⅰ. Information Science, 1975, 8(2): 199-249
[11] Zadeh L A. The Concept of a Linguistic Variable and Its Application to Approximate Reasoning: Ⅱ. Information Science, 1975, 8(4): 301 -357
[12] Zadeh L A. The Concept of a Linguistic Variable and Its Application to Approximate Reasoning: Ⅲ. Information Science, 1975, 9(1): 43-90
[13] Mendel J M, John R I, Liu F. Interval Type-2 Fuzzy Logic Systems Made Simple. IEEE Trans on Fuzzy Systems, 2006, 14(6): 808-821 |
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2010, Vol. 23 
