环的(λ,μ,θ)-反模糊同态

(λ,μ,θ)-anti-fuzzy Homomorphism of Rings

模糊同态是模糊代数学的重要概念之一,它可由不同的模糊映射产生.本文在θ-模糊映射的基础上,引入环的(λ,μ,θ)-反模糊同态概念,研究了(λ,μ,θ)-反模糊同态下(λ,μ)-反模糊子环和(λ,μ)-反模糊理想的对应关系。最后,建立了环的(λ,μ,θ)-反模糊同态基本定理。

Fuzzy homomorphism is one of the most important concepts of fuzzy algebra,which can be produced by different fuzzy mappings.Based on the concept ofθ-fuzzy mapping,the concept of（λ,μ,θ）-anti-fuzzy homomorphism of rings was introduced.Then the correspondence relations between（λ,μ）-anti-fuzzy subrings and（λ,μ）-anti-fuzzy ideals under（λ,μ,θ）-anti-fuzzy homomorphism were discussed.At last,the（λ,μ,θ）-anti-fuzzy homomorphism fundamental theorem of rings was established.