机构地区: 无锡职业技术学院
出 处: 《计算机科学与探索》 2013年第11期1048-1056,共9页
摘 要: 对N(2,2,0)代数(∈,∈∨q_(λ,μ))-模糊理想进行了详细的研究。给出了N(2,2,0)代数广义模糊理想和点态化(∈,∈∨q_(λ,μ))-模糊理想的概念,讨论了两者之间的等价关系。给出了(∈,∈∨q_(λ,μ))-模糊理想的一些等价刻画,并研究了其相关性质。讨论了(∈,∈∨q_(λ,μ))-模糊理想的同态像与同态原像的关系。最后研究了(∈,∈∨q_(λ,μ))-模糊理想的直积。 A detailed investigation on the (∈,∈vq(λ,μ)- fuzzy ideal of N(2,2,0) algebra is carried out from the following aspects. Firstly, this paper introduces the concepts of generalized fuzzy ideal and pointwise (∈,∈vq(λ,μ)- fuzzy ideal, and discusses the relationship between them. Secondly, this paper presents some equivalent descriptions of the (∈,∈vq(λ,μ)- fuzzy ideal, and studies the related properties. Thirdly, this paper discusses some basic properties of homomorphic image and homomorphic preimage of the (∈,∈vq(λ,μ) fuzzy ideal. Finally, the direct product of the (∈,∈vq(λ,μ)- fuzzy ideal is also studied.
领 域: [自动化与计算机技术] [自动化与计算机技术]