可交换的Fuzy蕴涵代数  

Commutative Fuzzy Implication Algebra

作　　者：吴达[1] 

机构地区：[1]宁波大学应用数学系

出　　处：《模糊系统与数学》1999年第1期27-30,共4页Fuzzy Systems and Mathematics

摘　　要：Ｆｕｚｙ蕴涵代数，简称ＦＩ代数，是一个新的代数系统，它是［０，１］值逻辑的蕴涵连接词的代数抽象。本文在ＦＩ代数中引进“交换”运算，从而得到了进一步刻划ＦＩ代数及ＨＦＩ代数的若干结果。In this paper, we put forward a 'commutative law' in the fuzzy implication algebra given by Wu Wangming. By a commutative fuzzy implication algebra we mean a FI algebra (X,→,0) satisfying the following condition: for x,y∈X,(x→y)→y=(y→x)→x, The main results of this paper are: (1) FI algebra X is a commutative FI algebra  for x,y∈X,x=(x→y)→x. (2) Supposing (X,→,0) is a commutative FI algebra,then (X,≤) is a lattice.

关 键 词：FI代数 HFI代数 交换律 格 模糊蕴涵代数 

分 类 号：O141.3[理学—数学]