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Linguistic dynamic systems based on computing with words and their stabilities

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Abstract

Linguistic dynamic systems (LDS) are the systems based on computing with words (CW) instead of computing with numbers or symbols. In this paper, LDS are divided into two types: type-I LDS being converted from conventional dynamical systems (CDS) by using extension principle and type-II LDS by using fuzzy logic rules. For type-I LDS, the method of endograph is provided to discuss the stabilities of type-I LDS and two cases of stabilities of logistic mappings: one is the states being abstracted and the other is parameters also being abstracted. For type-II LDS, the method of degree of match is used to discuss the dynamical behavior of arbitrary initial words under fuzzy rule.

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Authors and Affiliations

  1. College of Electric and Information Engineering, Changsha University of Science and Technology, Changsha, 410004, China

    Hong Mo

  2. Key Laboratory of Complex Systems and Intelligent Science, Institute of Automation, Chinese Academy of Science, Beijing, 100080, China

    Hong Mo & FeiYue Wang

Authors
  1. Hong Mo
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  2. FeiYue Wang
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Correspondence to Hong Mo.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 60125310, 60474498)

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Mo, H., Wang, F. Linguistic dynamic systems based on computing with words and their stabilities. Sci. China Ser. F-Inf. Sci. 52, 780–796 (2009). https://doi.org/10.1007/s11432-009-0089-6

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  • DOI: https://doi.org/10.1007/s11432-009-0089-6

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