摘要
从以下几个方面对N(2,2,0)代数(∈,∈∨q_((λ,μ)))-模糊关联理想进行了详细的研究.首先,给出N(2,2,0)代数广义模糊关联理想概念和点态化(∈,∈∨q_((λ,μ)))-模糊关联理想概念,研究了两者之间的等价关系;其次,给出了(∈,∈∨q_((λ,μ)))-模糊关联理想若干等价刻画;再次,讨论了(∈,∈∨q_((λ,μ)))-模糊关联理想与(∈,∈∨q_((λ,μ)))-模糊理想之间的关系;最后,获得了(∈,∈∨q_((λ,μ)))-模糊关联理想交与并的相关性质.
The (∈,∈ Vq(λ,μ))-fuzzy implicative ideal of the N(2,2,0) algebra is carried out a detailed investigation from the following aspects.Firstly,the concepts of generalized fuzzy implicative ideal and pointwise (∈,∈ Vq(λ,μ))-fuzzy implicative ideal of a N(2,2,0) algebra are introduced,and the relation of equivalence between them is also discussed; Secondly,we present some equivalent descriptions of the (∈,∈ Vq(λ,μ))-fuzzy implicative ideal; Thirdly,We discuss the relationship between (∈,∈ Vq(λ,μ))-fuzzy implicative ideal and (∈,∈ Vq(λ,μ))-fuzzy ideal; Finaly,the relevant properties of intersection and union of the (∈,∈ Vq(λ,μ))-fuzzy implicative ideal are obtained.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第4期278-285,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(6170121)
无锡职业技术学院科研课题(KJ201309)