计算机工程

• 人工智能及识别技术 • 上一篇    下一篇

Vague集理论及其在国画类别区分中的应用

邢鸿雁1,张倩生2,张纯桂3   

  1. (1. 广东工业大学应用数学学院,广州 510520;2. 广东外语外贸大学信息学院,广州 510420; 3. 广东工业大学艺术设计学院,广州 510090)
  • 收稿日期:2012-09-03 出版日期:2013-12-15 发布日期:2013-12-13
  • 作者简介:邢鸿雁(1964-),女,副教授、博士,主研方向:模式识别,离散事件系统;张倩生,副教授、博士;张纯桂,副教授
  • 基金项目:
    教育部人文社会科学研究青年基金资助项目(12YJCZH281)

Vague Sets Theory and Its Application of Category Recognition in Chinese Painting

XING Hong-yan 1, ZHANG Qian-sheng 2, ZHANG Chun-gui 3   

  1. (1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China; 2. School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510420, China; 3. Faculty of Arts and Design, Guangdong University of Technology, Guangzhou 510090, China)
  • Received:2012-09-03 Online:2013-12-15 Published:2013-12-13

摘要: 为解决Vague值(集)的相似度量问题,提出一种公理化意义下全面综合的度量方法。通过对现有Vague集相似度量的功能进行分析对比,获得在相似度量公理化下的扩展形式,并结合模糊熵理论,综合Vague值(集)相对熵的公理化思想,研究Vague值(集)相似度量与相对熵的关系,给出带参数的计算方法。分析结果证明,将该方法应用于国画类别的区分识别中,能获得较好的分类结果。

关键词: Vague值(集), 相似度量, 模糊熵, 相对熵, 模拟, 类别区分

Abstract: As one of the important issues in artificial intelligence, uncertainty measuring methods are put forward and widely used in applications. Considering this, this paper introduces several existing definitions about similarity measure on Vague values(sets), along with the analyzing of their properties. Then it presents an effective matching definition of similarity measure between Vague values(sets). Further, it proposes a formula to compute the entropy of Vague values(sets) together with an axiomatizing idea on fuzzy entropy. All the measures between Vague values(sets) are validated with experimental data. The proposed method is improved and the simulation results show the actual effect on category recognition of Chinese drawing.

Key words: Vague values(sets), similarity measure, fuzzy entropy, relative entropy, simulation, category recognition

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