Abstract: In this paper，some kinds of many-valued orders are studied and their application in topology is investigated.In precisely，for an arbitrary complete residuated lattice (Ω,*,1)，the Ω-filter Monad (F_Ω,η,μ) is constructed from the viewpoint of many-valued order and then the negighborhood system of strong Ω-topology is presented.This shows the closed interrelationship between topologcial sturcutre，ordered structure and category.

Key words: many-valued orders, Monad diagonal operator, many-valued topology, many-valued filter

摘要： 讨论了几种常见的多值序结构及其在拓扑中的应用。具体来说，对任意完备剩余格(Ω,*,1)，从多值序的角度出发构造了Ω-滤子 Monad (F_Ω,η,μ)，并据此给出了强Ω-拓扑的邻域结构，并展示了拓扑、序和范畴三种不同的结构之间的密切联系。

关键词: 多值序, Monad对角运算, 多值拓扑, 多值滤子