计算机应用 ›› 2012, Vol. 32 ›› Issue (09): 2523-2526.DOI: 10.3724/SP.J.1087.2012.02523

• 人工智能 • 上一篇    下一篇

程度化语言值链上的语言真值概念格及其应用

杨丽1*,王宇辉2,徐扬3   

  1. 1.华北水利水电学院 数学与信息科学学院,郑州 450046;
    2.西南交通大学 交通运输与物流学院,成都 610031;
    3.西南交通大学 智能控制开发中心,成都 610031
  • 收稿日期:2012-03-21 修回日期:2012-05-02 发布日期:2012-09-01 出版日期:2012-09-01
  • 通讯作者: 杨丽
  • 作者简介:智能信息处理; 王宇辉(1979-),男,河南洛阳人,博士研究生,主要研究方向:物流系统优化; 徐扬(1956-),男,河南新乡人,教授,博士生导师,主要研究方向:逻辑代数、代数逻辑、智能信息处理。
  • 基金资助:

    国家自然科学基金资助项目(71101049,61175055);四川省科技厅应用基础研究项目 (08JC0068);四川省科技支撑计划项目(2011FZ0051)

Linguistic truth-valued concept lattice based on graded linguistic values chain and its application

YANG Li1*,WANG Yu-hui2,XU Yang3   

  1. 1.School of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou Henan 450046,China;2.College of Traffic and Transportation,Southwest Jiaotong University,Chengdu Sichuan 610031,China;
    3.Intelligent Control Development Center,Southwest Jiaotong University,Chengdu Sichuan 610031,China
  • Received:2012-03-21 Revised:2012-05-02 Online:2012-09-01 Published:2012-09-01
  • Contact: Li YANG

摘要: 为了给自然语言的直接处理提供一个可靠的逻辑基础和运算模型,建立了程度化语言值链上的Lukasiewicz蕴涵代数和语言真值概念格。具体分析了实际问题中用于刻画确定性数量值的自然语言,将其等价地表示为程度化语言值集合,并定义了偏序关系及二元运算;其次建立了程度化语言值链与自然语言集合间的一一对应关系,并在自然语言集合所形成的链型格蕴涵代数上构造了具体的语言真值概念格;进而通过该语言真值概念格在车辆运输安全性能的语言信息分析系统中的应用,验证了该模型用于自然语言直接处理的可行性和结构图形的可读性。

关键词: 概念格, 语言真值概念格, 自然语言, 程度化语言值链, 格蕴涵代数

Abstract: In order to provide a logical basis and mathematical model for directly processing natural language, the Lukasiewicz implication algebra based on the graded linguistic values chain and the linguistic truth-valued concept lattice were established. The natural language used to depict certain values in practical problems was analyzed and equivalently expressed as the graded linguistic values set, on which the definitions of partial order relations and binary operators were given. The bijective relation was established between the graded linguistic values chain and the natural language set, and the specific linguistic truth-valued concept lattice was constructed based on the linguistic truth-valued lattice implication algebra. And then, the linguistic truth-valued concept lattice was applied into the analytical system with natural language for vehicle transport safety performance, which verified the feasibility of the model to directly deal with the natural language and the readability of the structure graph.

Key words: concept lattice, linguistic truth-valued concept lattice, natural language, graded linguistic values chain, lattice implication algebra

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