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模糊正则文法的逼近性
引用本文:王拥兵,李永明.模糊正则文法的逼近性[J].模糊系统与数学,2008,22(6).
作者姓名:王拥兵  李永明
作者单位:1. 安庆师范学院,数学与计算科学学院,安徽,安庆,246133;陕西师范大学,数学与信息科学学院,陕西,西安,710062
2. 陕西师范大学,数学与信息科学学院,陕西,西安,710062;陕西师范大学,计算机科学学院,陕西,西安,710062
基金项目:国家自然科学基金资助项目  
摘    要:为了扩大现有研究的应用范围,基于max-min型模糊正则文法引入了max-*型模糊正则文法(其中*为特定t-模)的概念,讨论了max-*型模糊正则文法可以通过max-min型模糊正则文法在任意给定的逼近精度来逼近.研究表明,当t-模*满足一定的条件时,max-*型模糊正则文法与max-min型模糊正则文法在生成模糊语言能力方面是等价的.

关 键 词:max-*型模糊正则文法  模糊正则语言  逼近性  等价

Approximation of Fuzzy Regular Grammars
WANG Yong-bing,LI Yong-ming.Approximation of Fuzzy Regular Grammars[J].Fuzzy Systems and Mathematics,2008,22(6).
Authors:WANG Yong-bing  LI Yong-ming
Institution:WANG Yong-bing1,2,LI Yong-ming2,3 (1.School of Mathematics , Computing,Anqing Teachers College,Anqing 246133,China,2.College of Mathematics , Information Science,Shaanxi Normal University,Xi\'an 710062,3.College of Computer Science,China)
Abstract:To exentd the application fields of the present research,the concept of fuzzy regular grammar with max-* composition for some t-norn * is given,which is basised on the study of fuzzy regular grammar with max-min composition.Then we discuss that a fuzzy regular grammar with max-* composition can be approximated by some fuzzy regular grammar with max-min composition with any given accuracy.The research shows that fuzzy regular grammar with max-* composition and fuzzy regular grammar with max-min composition a...
Keywords:Fuzzy max-* Regular Grammar  Fuzzy Regular Language  Approximation  Equivalence  
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