基于感知推理方法的语言动力系统性质及数据驱动设计研究

李成栋; 张桂青; 王会东; 任伟娜

doi:10.3724/SP.J.1004.2014.02221

基于感知推理方法的语言动力系统性质及数据驱动设计研究

doi: 10.3724/SP.J.1004.2014.02221

1.
山东建筑大学信息与电气工程学院济南250101;
2.
山东财经大学管理科学与工程学院济南100080

基金项目:

Supported by National Natural Science Foundation of China (61473176, 61105077, 61402260, 61074149), the Excellent Young and Middle-Aged Scientist Award Grant of Shandong Province of China (BS2012DX026, BS2013DX043), and the Open Program from the State Key Laboratory of Management and Control for Complex Sys- tems (20140102)

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出版历程
- 收稿日期: 2013-09-26
- 修回日期: 2014-02-12
- 刊出日期: 2014-10-20

Properties and Data-driven Design of Perceptual Reasoning Method Based Linguistic Dynamic Systems

1.
School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan 250101, China;
2.
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China

Funds:

More Information

Corresponding author: LI Cheng-Dong Associate professor at the School of Information and Electrical Engineering, Shandong Jianzhu University. He received his Ph. D. degree from the Institute of Automation, Chinese Academy of Sciences in 2010. His research interest covers intelligent systems and intelligent control with applications to intelligent buildings. Corresponding author of this paper. E-mail: lichengdong@sdjzu.edu.cn

摘要

摘要: 采用一型模糊集合的语言动力系统为复杂系统的建模、分析、评估及控制提供了一种有效工具.但正如已有二型模糊理论中指出的,在对具有强不确定性的语言词建模时采用二型模糊集合更为合理,因此,研究了采用二型模糊集合的语言动力系统,其推理过程基于感知推理方法来实现.首先,给出了基于感知推理方法的语言动力系统的一些基本性质,相关性质表明:基于感知推理方法的语言动力系统的输出词具有直观性,且当规则后件中的二型模糊集合满足一定条件时,该语言动力系统的运算复杂性将会大大简化.进一步,提出了基于感知推理方法的语言动力系统的数据驱动设计方案,该数据驱动方案采用粗糙集方法进行规则提取.最后,通过具体仿真实验验证了所提数据驱动方法的有效性及合理性.
- 词计算 /
- 语言动力系统 /
- 二型模糊 /
- 感知推理
Abstract: The linguistic dynamic systems (LDSs) based on type-1 fuzzy sets can provide a powerful tool for modeling, analysis, evaluation and control of complex systems. However, as pointed out in earlier studies, it is much more reasonable to take type-2 fuzzy sets to model the existing uncertainties of linguistic words. In this paper, the LDS based on type-2 fuzzy sets is studied, and its reasoning process is realized through the perceptual reasoning method. The properties of the perceptual reasoning method based LDS (PR-LDS) are explored. These properties demonstrated that the output of PR-LDS is intuitive and the computation complexity can be reduced when the consequent type-2 fuzzy numbers in the rule base satisfy some conditions. Further, a data driven method for the design of the PR-LDS is provided. At last, the effectiveness and rationality of the proposed data-driven method are verified by an example.
- Computing with words /
- linguistic dynamic system /
- type-2 fuzzy /
- perceptual reasoning

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