摘要
模糊代数系统是研究模糊语言及模糊自动机的有力工具,语言的范式已有详细的研究。在模糊代数系统的基础上,给出模糊范式的概念并进行分类,研究proper模糊代数系统与Chomsky模糊范式的关系,给出由proper模糊代数系统构造Chomsky模糊范式的方法,这种方法使得proper模糊代数系统在表达形式上规范化。为了研究proper模糊代数系统的解,构造了operator模糊范式,并得到结论:二者强解的第一分量相等,其余对应分量相差一个右逆算子。模糊范式提供了研究模糊代数系统的不同视角,彰显了模糊范畴下代数系统比经典代数系统具有更好的性质。
The fu z z y a lg e b r a ic s y s tem is a n imp or t a n t to o l fo r r e s e a r c h o n fu z z y v a lu e d c o n te x t - f r e elanguages and fuzzy valued pushdown automata. Since the normal form of languages we int roduce the concept of fuzzy valued normal form , a n d s tu d y th e r e la t io n s h ip b e tw e e n th e p r o p e rfuzzy valued algebraic system and the Chomsky fuzzy valued normal form. Then we provide the method of producing Chomsky fuzzy valued normal form from the algebraic,which standardizes the expression of the fuzzy valued algebraic system. Finally,we design the operator fuzzy valued normal the solut ions to the fuzzy valued algebraic system. Our conclusions are that the first component of the strong solut ion to the proper fuzzy valued algebraic system appears also as the first component of the strong solut ion to such a system in the operator normal form. The fuzzy valued normal form provides a di fferent view of studying the fuzzy algebraic system,which shows that the algebrdomain has better propert ies than the classical algebraic system.
出处
《计算机工程与科学》
CSCD
北大核心
2017年第10期1930-1933,共4页
Computer Engineering & Science
基金
北方民族大学校级一般项目(2016JY2101)
关键词
模糊半环
模糊代数系统
模糊范式
fuzzy valued semiring
fuzzy valued algebraic system
fuzzy valued normal form
