计算机科学 ›› 2009, Vol. 36 ›› Issue (8): 264-267.

• 人工智能 • 上一篇    下一篇

基于矩阵蕴涵运算的格值模糊概念格构造方法

杨丽,徐扬   

  1. (西南交通大学智能控制开发中心 成都610031)
  • 出版日期:2018-11-16 发布日期:2018-11-16
  • 基金资助:
    本文受国家自然科学基金项目(60875034),高等学校博十学科点专项科研基金项目(20060613007)资助。

Construction Method of Lattice-valued Fuzzy Concept Lattice Based on Matrix Implication Operation

YANG Li,XU Yang   

  • Online:2018-11-16 Published:2018-11-16

摘要: 从矩阵角度对一类模糊概念格的构造方法进行了研究。以具体的格蕴涵代数作为刻画对象与属性间不确定性关系的取值域建立了格值模糊概念格;为了便于非数值间的计算,分别定义了矩阵合取运算、析取运算和蕴涵运算,并基于矩阵蕴涵运算给出了格值模糊概念格的构造方法;进而通过实例求出了对应的格值模糊概念格,验证了该方法的正确性。

关键词: 概念格,格值模糊概念格,矩阵蕴涵运算,构造方法

Abstract: From the view of matrix, the construction method of a kind of fuzzy concept lattice was researched. Lattice valued fuzzy concept lattice was established on the structure of lattice implication algebra which is considered as the value range to depict the uncertainty relation between objects and attributes;considering the convenience of non-numerical computations, the matrix conj unction operation, disj unction operation and implication operation were defined, and based on the matrix implication operation, the construction method of lattice-valued fuzzy concept lattice was presented; furthermore,an example was provided to illustrate the method correct.

Key words: Concept lattice, Lattice-valued fuzzy concept lattice, Matrix implication operation, Construction method

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