L-fuzzy代数的刻画  

CHARACTERIZATIONS OF L-FUZZY ALGEBRAS

作　　者：何凤兰[1] 

机构地区：[1]牡丹江师范学院数学系,牡丹江157012

出　　处：《数学杂志》2002年第2期233-236,共4页Journal of Mathematics

摘　　要：鉴于 [2 ]中已有fuzzy代数结论的不理想 ,谷文祥和卢荼在L -fuzzy集论中重新定义了L -fuzzy代数 ,得到了一些理想的结论 .但却没有给出它的截集式刻画 .本文的目的就是借助于L -fuzzy集的几种水平截集给出它的几个等价刻画 ,使得它的表现更为直观且更便于应用 .最后 ,作为应用 ,本文简洁地证明了L -fuzzy代数在代数同态下是不变的和逆不变的 .The concept of L-fuzzy algebras was redefined by Gu Wen-xiang and Lu Tu in L-fuzzy set theory,because some results of fuzzy algebras in are not ideal.But it lacks characterizations in terms of cut sets.in this paper,we present its some equivalent characterizations by means of the cut sets of L-fuzzy sets such that its representation is more direct and is convenient to apply.Lastly we prove tersely that a L-fuzzy algebra is not invariant and inverse- invariant under an algebra homomorphism.

关 键 词：L-fuzzy代数 L-fuzzy截 完全分配格 

分 类 号：O159[理学—数学]