基于模糊乘积有限自动机的覆盖关系  

On covering of fuzzy product finite machines

作　　者：刘军[1] 孙淑芹[1] 欧晓华[2] 

机构地区：[1]四川民族学院数学系,四川康定626001 [2]成都电子科技大学数学科学学院,四川成都610054

出　　处：《高校应用数学学报（A辑）》2011年第2期239-246,共8页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：四川省教育厅青年基金(10ZB027);国家自然科学基金(11071178)

摘　　要：对Mealy-型模糊有限自动机乘积结构作了进一步的研究,并且对覆盖关系作了细致的刻画,推广了原有的覆盖概念.针对Mealy-型这类模糊有限自动机,通过性质考察了此覆盖概念的合理有效性,新的覆盖概念在乘积自动机间建立了更多的联系.特别证明了直积、级联积、圈积三种乘积之间的覆盖关系.得到了一些乘积自动机覆盖关系的传递性质.This paper is the further research on the product structure for Mealy-type fuzzy finite-state machines.And the relationship of covering among product machines is studied in detail.The concept of covering is generalized.This new concept is reasonable and valid which is examined by properties.The more covering relationship has been established in the product machines than before.Especially the covering relationship among the direct product,cascade product,wreath product is proved.Some transitive properties of covering relationship are obtained in the product machines.

关 键 词：Mealy-型模糊有限自动机 直积 级联积 圈积 

分 类 号：TP301.1[自动化与计算机技术—计算机系统结构] O159[自动化与计算机技术—计算机科学与技术]