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应用科学学报 ›› 2001, Vol. 19 ›› Issue (2): 161-164.

• 论文 • 上一篇    下一篇

基于Vague集的插值模糊推理

李凡1, 徐章艳2, 卢安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:1999-12-25 修回日期:2000-09-22 出版日期:2001-06-30 发布日期:2001-06-30
  • 作者简介:李凡(1943-),男,湖北潜江市人,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)

An Interpolation Fuzzy Reasoning Approach Based on Vague Sets

LI Fan1, XU Zhang-yan2, LU An1   

  1. 1. College of Computer, Huazhong University of Science and Technology, Wuhan 430074, China;
    2. College of Mathematics and Computer, Guangxi Normal University, Guilin 541004, China
  • Received:1999-12-25 Revised:2000-09-22 Online:2001-06-30 Published:2001-06-30

PDF

99

被引次数

29

摘要： 对于模糊概念(用Vague集表示)的隶属函数为连续的情况,将规则前件中模糊概念的论域与后件中模糊概念的论域作一一映射,然后给出基于Vague集的隶属函数为连续情况下的插值模糊推理方法;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插值模糊推理方法.

关键词: 映射, 线性插值, 模糊推理, Vague集

Abstract: 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 the rule and that in the consequent of the rule. In this way, we are able to find a method of interpolation fuzzy reasoning based on vague sets. When the membership functions of vague sets are discrete functions, after giving one-to-one mapping between the universe of discourse of fuzzy terms in the antecedent of the rule and that in the consequent of the rule, we carry out linear interpolation in the true/false membership functions of vague sets in the antecedent of the rule and fact, to turn them in to continuous functions. we are thus able to develop a method of interpolation fuzzy reasoning based on vague sets.

Key words: mapping, linear interpolation, fuzzy reasoning, Vague set

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