L-Fuzzy子群的内积  

The Inner Poduct of L-Fuzzy Subgroups

作　　者：刘龙章[1] 邱淑芳[1] 戴立辉[1] 

机构地区：[1]华东地质学院基础课部,江西临川344000

出　　处：《科技通报》2000年第6期443-446,共4页Bulletin of Science and Technology

基　　金：江西省自然基金资助项目!( 981 1 0 2 )

摘　　要：引入交换群上 L - Fuzzy子群的内积概念 ,讨论了内积的一些基本性质 .证明 L - Fuzzy子群的内积仍然是 L- Fuzzy子群 .基于 L- Fuzzy集合上的 Zadeh型映射理论 ,给出并证明了 L- Fuzzy子群内积的同态映象等于各自同态映象的内积 .In this paper we first introduce the concepts of inner products of L Fuzzy subgroups for abelian groups, and discuss some bassic properties of the inner products.We can prove that the inner products of L Fuzzy subgroups are also L Fuzzy subgroups,on basis of Zadeh's homomorphic mapping theory with L Fuzzy sets.And we finally prove that the homomorphic image of inner products of L Fuzzy subgroups is equal to the inner products of these homomorphic image.

关 键 词：L-FUZZY子群 内积 ZADeh型映射 

分 类 号：O152[理学—数学] O159[理学—基础数学]