(λ,μ)模糊软子格(理想)

(λ,μ)-fuzzy soft sublattices(ideals)

在格代数中引入(λ,μ)模糊软子格(理想)的概念,并研究它们的相关性质。定义了(λ,μ)模糊软子格及(λ,μ)模糊软理想,其次利用α-水平截集给出了(λ,μ)模糊软子格(理想)的等价刻画,最后研究了(λ,μ)模糊软子格(理想)在模糊软同态下的像及原像。所研究的(λ,μ)模糊软子格(理想)是(λ,μ)模糊子格(理想)的一般化,拓展了模糊代数结构的研究内容。

In this paper, the concept of （λ, μ）-fuzzy soft sublattices （ideals） are intorduced, and some relat- ed properties of them are studied. First, the notions of （λ, μ）-fuzzy soft sublattices and （λ, μ）-fuzzy soft ide- als are presented. Then, the equivalent characterizations of （λ, μ）-fuzzy soft sublattices and （λ, μ）-fuzzy soft ideals are given by using a-level set. Finally, the image and pre-image of （λ, μ）-fuzzy soft sublattices （ideals） are discussed. （λ, μ）-fuzzy soft sublattices （ideals） are generalizations of （λ, μ）-fuzzy sublattices （ideals）, which extends the contents of fuzzy algebric structures.