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应用科学学报 ›› 2002, Vol. 20 ›› Issue (2): 178-182.

• 论文 • 上一篇    下一篇

基于Vague集的元素间相似度量的近似推理

李凡1, 徐章艳2, 蔡立晶1   

  1. 1. 华中科技大学计算机学院, 湖北武汉 430074;
    2. 广西师范大学数学与计算机学院, 广西桂林 541004
  • 收稿日期:2001-02-15 出版日期:2002-06-30 发布日期:2002-06-30
  • 作者简介:李凡(1943-),男,湖北潜江人,教授.
  • 基金资助:
    国家高性能计算基金资助项目(00303);华中科技大学科学研究基金资助项目(M99015)

Fuzzy Reasoning Based on Similarity Measure Between the Elements of Vague Sets

LI Fan1, XU Zhang-yan2, CAI Li-jing1   

  1. 1. College of Computer, Huazhong University of Science and Technology, Wuhan 430074, China;
    2. Department of Mathematics and Computer, Guangxi Normal University, Guilin 541004, China
  • Received:2001-02-15 Online:2002-06-30 Published:2002-06-30

PDF

112

被引次数

29

摘要： 给出了Vague集元素间的一个相似度量方法,对于模糊概念(用Vague集表示)的隶属函数为连续的情况,将规则前件中Vague集的论域与后件中Vague集的论域作一一映射,然后给出基于Vague集的隶属函数为连续情况下的元素间相似度量的近似推理方法;对于Vague集的隶属函数为离散的情况,在作上述相同的映射后,再将规则前件中的vague集和事实中的Vague集的真/假隶属函数分别进行线性插值,使它们都成为连续函数,然后给出基于Vague集的隶属函数为离散情况下的元素间相似度量的近似推理方法.

关键词: 近似推理, Vague集, 真/假隶属函数, 元素间的相似度量

Abstract: In this paper, we give a method of similarity measure between the elements of vague sets. When the membership functions (represented by vague sets) of fuzzy terms are continuous functions, we give a one-to-one mapping between the universe of discourse of fuzzy terms in the antecedent of rule and that in the consequent of rule. We also give a method of approximate reasoning based on similarity measure between the elements of vague sets. When the membership functions of vague set are discrete functions, after giving one-to-one mapping between the universe of discourse of fuzzy terms in the antecedent of rule and that in the consequent of rule, we present a method of linear interpolation into the true/false membership functions of the vague sets for the antecedent of rule and fact, converting them into continuous functions. Finally, we provide a method of approximate reasoning based on similarity measure between the elements of vague sets.

Key words: Vague set, true/false membership function, approximate reasoning, similarity measure between elements

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