模糊代数系统  

Fuzzy Algebraic Systems

作　　者：张孟青[1] 李永明[2] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062 [2]陕西师范大学计算机科学学院,陕西西安710062

出　　处：《模糊系统与数学》2012年第5期72-78,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60873119)

摘　　要：引入模糊代数系统及其强解的概念,给出其特有性质。定义proper和V-proper模糊代数系统,并给出其解的一般表达形式。建立模糊代数系统与模糊上下文无关文法相互转化法则。最后得出结论:任一proper和V-proper模糊代数系统都存在唯一强解。模糊上下文无关文法生成的模糊语言和其对应的模糊代数系统的强解的某个分量是相等的。In this paper, the definition of fuzzy algebraic systems ~and its solutions are given. The solutions of structural feature of fuzzy algebraic systems, fuzzy V-proper algebraic systems, and the relationship between fuzzy algebraic systems and fuzzy context-free grammars are discussed. Further, we have got two conclusions. First, every fuzzy V-proper algebraic system has a strong solution. Second, the fuzzy context-free language is equal to the one component of the strong solution of the fuzzy algebraic system. Which are stronger than that in S---- （N,＋ , 0, 1 ）.

关 键 词：模糊形式幂级数 模糊上下文无关文法及语言 模糊代数系统 

分 类 号：O159[理学—数学]