作　　者： ; ;

机构地区： 无锡职业技术学院

出　　处： 《计算机科学与探索》 2017年第2期323-332,共10页

摘　　要： 将模糊点和模糊集间的"∈(属于)"和"q_(λ,μ)(广义重于)"关系推广为"∈~δ(Ω-属于)"和"q_(λ,μ)~δ(Ω-重于)"关系,提出了(∈~δ,∈~δ∨q~δ_(λ,μ))-模糊代数。将(∈~δ,∈~δ∨q~δ_(λ,μ))-模糊代数与N(2,2,0)代数相结合,给出了点态化(∈~δ,∈~δ∨q~δ_(λ,μ))-模糊理想和Ω_(λ,μ)-模糊理想的概念,证明了两者之间的等价关系,研究了它们的一些基本性质;最后提出了点态化(∈~δ,∈~δ∨q~δ_(λ,μ))-模糊子代数和Ω_(λ,μ)-模糊子代数的定义,研究了(∈~δ,∈~δ∨q~δ_(λ,μ))-模糊理想和(∈~δ,∈~δ∨q~δ_(λ,μ))-模糊子代数的相互关系。 In this paper,“Ω-belongs to(∈δ)”and“Ω-quasi-coincident with(qδ(λ,μ))”relationships are generalizedby the view of“belongs to(∈)”and“quasi-coincident with(q)”relationships between the fuzzy point and the fuzzyset.The definition of(∈δ,∈δ∨qδ(λ,μ))-fuzzy algebra is presented.Combining the(∈δ,∈δ∨qδ(λ,μ))-fuzzy algebras andthe N(2,2,0)algebras,the concepts of pointwise(∈δ,∈δ∨qδ(λ,μ))-fuzzy ideals andΩ(λ,μ)-fuzzy ideals are introduced,and the equivalence relationship of this two definitions is discussed.Some basic properties of them are also studied.Finally,this paper proposes the concepts of pointwise(∈δ,∈δ∨qδ(λ,μ))-fuzzy subalgebras andΩ(λ,μ)-fuzzy subalgebras,and studies the mutual relationships between(∈δ,∈δ∨qδ(λ,μ))-fuzzy ideals and(∈δ,∈δ∨qδ(λ,μ))-fuzzy subalgebras.

关 键 词： 代数 模糊理想 模糊子代数

领　　域： [自动化与计算机技术] [自动化与计算机技术]