模糊集生成的格的(λ,T)-模糊理想(滤子)

(λ,T)-Fuzzy Ideal(filter) of Lattice Generated by a Fuzzy Set

提出了由模糊子集生成的(λ,T)-模糊理想(滤子)的概念,并且用三角范数的性质及生成理想的概念刻画了(λ,T)-模糊理想(滤子)。研究了由模糊集生成的(λ,T)-模糊理想的逆像在同态映射下与模糊集的逆像生成的(λ,T)-模糊理想是相等的。

The concept of （ λ, T） - fuzzy ideal （filter） is developed, （ λ, T） - fuzzy ideal （filter） is characterized by properties of T-norm and definition of generalized ideal. It is investigated that the pre-image of （λ, T） - fuzzy ideal-general- ized by fuzzy set and （ λ, T） - fuzzy ideal generalized by the pre-image of the fuzzy set is equal under the homomorphic.