L-模糊弱伪理想及其性质  

L-fuzzy Weak Pseudo Ideal and Its Properties

作　　者：王玲玲[1] 李宏艳[1] 

机构地区：[1]中国信息大学数学系,北京102433

出　　处：《烟台大学学报（自然科学与工程版）》2007年第4期240-243,共4页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(10371079)

摘　　要：给出了L-fuzzy弱伪理想的概念及其刻画,并研究它的运算性质.在二次弱理想的基础上,借助于以前研究者所得出的一些成果,将弱伪理想进一步推广到L-模糊集论中,提出了L-fuzzy弱伪理想的概念以及L-fuzzy弱伪理想的4种水平截集式刻画,并进一步研究了它在L-模糊环同态下的不变性与逆不变性,以及它的和与积等运算性质.The main purpose is to present the concept of L-fuzzy weak pseudo ideal and its characterizations and discuss its operations. In 2004, the concept of quadratic weak ideal is introduced by Wuyun and it is also called weak pseudo ideal. Based on the quadratic weak ideal and some conclusions of some pursuers, the weak pseudo ideal is spread in L-fuzzy sets and is named L-fuzzy weak pseudo ideal. And four kinds of level and cut sets characterizations of L-fuzzy weak pseudo ideal are presented. Its invariability , adverse invariability, and some operations are discussed in L-fuzzy ring homostasis.

关 键 词：L-模糊代数 L-模糊环 L-模糊理想 L-模糊弱伪理想 

分 类 号：O159[理学—数学]