模糊D0L幂级数  

Fuzzy D0L Power Series

作　　者：师瑕娟 李永明[1] 

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

出　　处：《模糊系统与数学》2015年第1期25-30,共6页Fuzzy Systems and Mathematics

摘　　要：将Lindenmayer代数系统推广到模糊半环上,引入模糊L代数系统及模糊L代数幂级数的概念。定义由模糊代数系统生成的模糊D0L幂级数,并研究模糊D0L幂级数的性质。模糊D0L幂级数的重数序列具有很好的性质,且两个模糊D0L幂级数的等价性是可判定的。此外,模糊D0L幂级数的F-代数性、F-上下文无关性及F-有理性也是可判定的。This paper extends the Lindenmayer Algebraic system to fuzzy semiring F=（ [0,1-], max, rain, 0, 1）,introduces the concept of fuzzy L algebraic system and fuzzy L algebraic power series. Define the simplest fuzzy L algebraic power series-fuzzy D0L power series, and discuss the properties of fuzzy D0L power series. The D0L multiplicity sequence of fuzzy D0L power series has better properties than D0L power series＇. And the equivalence of two fuzzy D0L power series is decidable. Besides,it is also decidable whether or not a given fuzzy D0L power series is F-algebraic,F-context-free and F-rational.

关 键 词：模糊L代数系统 模糊D0L幂级数 模糊代数性 模糊有理性 

分 类 号：O159[理学—数学]