N(2,2,0)代数的(λ,μ)-反模糊子代数

(λ,μ)Anti-fuzzy Subalgebra of N(2,2,0)Algebra

【目的】模糊子代数是模糊代数的一个重要研究内容。为了解N(2,2,0)代数的模糊结构,在N(2,2,0)代数中引入了(λ,μ)反模糊子代数概念。【方法】利用模糊集的相关理论和性质,讨论了N(2,2,0)代数的(λ,μ)反模糊子代数的若干性质。【结果】证明了N(2,2,0)代数的(λ,μ)反模糊子代数的并,同态像以及反直积也是(λ,μ)反模糊子代数。【结论】相关的研究结果丰富了N(2,2,0)代数的模糊理论。

[Purposes]Fuzzy sub-algebra is an important field in the study of fuzzy algebra. In order to understand the properties of fuzzy structure of N（2,2,0） algebra, the concept of （λ,μ） anti-fuzzy sub algebra of N（2,2,0）-algebra is introduced. [Methods] Based on the theory and properties of fuzzy sets, the related properties of （λ,μ） anti-fuzzy sub algebra in N（2,2,0）-algebra are discussed. I-Findings]Furthermore, it is proved that the intersection and homomorphism images and anti-direct product in N（2,2,0）- algebra of （λ,μ） anti-fuzzy sub-algebra are also （λ,μ） anti-fuzzy sub-algebra.[Conclusions]The results enriched fuzzy theory in N （2,2,0）-algebra.