广义模糊双理想与广义模糊拟理想  

Generalized Fuzzy Bi-Ideal and Generalized Fuzzy Quasi-Ideal

作　　者：冒爱菊[1] 廖祖华[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《江南大学学报（自然科学版）》2009年第1期112-115,共4页Joural of Jiangnan University (Natural Science Edition)　

基　　金：江苏省教育科学"十一五"规划基金项目(D/2006/01/171)

摘　　要：将模糊双理想和模糊拟理想的概念推广到广义模糊双理想和广义模糊拟理想,并且得到其等价刻画及性质,同时给出了广义模糊双理想和广义模糊拟理想之间的联系。运用截集和特征函数得到了广义模糊双理想和广义模糊拟理想的等价条件及性质,并且当λ=0,μ=0.5时,得到(∈,∈∨q)-模糊双理想和模糊拟理想;当λ=0,μ=1时,得到一般意义下的模糊双理想和模糊拟理想。The paper generalize the definitions of fuzzy bi-ideals and fuzzy quasi-ideal to generalized fuzzy bi-ideal and generalized fuzzy quasi-ideal,respectively. The equivalent conditions and the properties of them are also shown. Besides, the relation between generalized fuzzy bi-ideals and quasi-idealcan is obtained. The paper also treats with level subset and eigenfunction to give the equivalent conditions and the properties of generalized fuzzy bi-ideal and generalized fuzzy quasiideal. When λ = 0,μ = 0.5,we get （ ∈, ∈∨q）-fuzzy bi-ideal and （ ∈ , ∈∨q）-fuzzy quasi-ideal; λ = 0,μ = 1, we obtain the usual fuzzy bi-ideal and fuzzy quasi-ideal.

关 键 词：广义模糊双理想 广义模糊拟理想 广义模糊子半群 

分 类 号：O159[理学—数学]