N（2、2、0）代数的（Î、ÎÚq（λ、μ））-模糊理想

摘要

A detailed investigation on the (Î、Î Úq(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 (Î、Î Úq(λ、μ))-fuzzy ideal,and discusses the relationship between them. Secondly, this paper presents some equivalent descriptions of the (Î、Î Úq(λ、μ))-fuzzy ideal, and studies the related properties. Thirdly, this paper discusses some basic properties of homomorphic image and homomorphic preimage of the (Î、Î Úq(λ、μ))-fuzzy ideal. Finally, the direct product of the (Î、Î Úq(λ、μ))-fuzzy ideal is also studied.%对N (2、2、0)代数(Î、ÎÚq(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(Î、ÎÚq(λ、μ))-模糊理想的概念，讨论了两者之间的等价关系。给出了(Î、ÎÚq(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(Î、ÎÚq(λ、μ))-模糊理想的同态像与同态原像的关系。最后研究了(Î、ÎÚq(λ、μ))-模糊理想的直积。