R_0-代数(NM-代数)的区间值模糊子代数  

Interval Valued Fuzzy Subalgebras of R_0-algebras(NM-algebras)

作　　者：刘春辉[1,2] 吴静 

机构地区：[1]赤峰学院数学与统计学院,内蒙古赤峰024001 [2]赤峰学院教务处,内蒙古赤峰024001 [3]赤峰第四中学数学组,内蒙古赤峰024001

出　　处：《模糊系统与数学》2012年第3期77-84,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10371106;60774073)

摘　　要：将区间值模糊集的概念应用于R0-代数,引入区间值模糊R0-子代数的概念并研究它的性质。给出了区间值模糊集成为区间值模糊R0-子代数的一个充要条件;讨论了区间值模糊R0-子代数和R0-子代数之间的关系;定义了区间值模糊集的象和原象,获得了区间值模糊R0-子代数的象和原象成为区间值模糊R0-子代数的条件。In this paper, we apply the concept of interval valued fuzzy sets to Ro-algebras, introduced the notion of interval valued fuzzy R0-subalgebras and discussed their properties. A sufficient and necessary condition for an interval valued fuzzy set to interval valued fuzzy R0-subalgebra is given;The relation between interval valued fuzzy R0-subalgebras and R0-subalgehras is discussed. The images and inverse images of interval valued fuzzy sets are defined, and the conditions for the images and inverse images of interval valued fuzzy R0-subalgebras to be interval valued fuzzy R0-subalgebras are obtained.

关 键 词：模糊逻辑 R0-代数 模糊R0-子代数 区间值模糊集 区间值模糊R0-子代数 

分 类 号：O141[理学—数学] O153[理学—基础数学]