一致模糊偏序集及其应用

Uniformly Fuzzy Posets and Its Applications

本文在模糊定向集上引入一致模糊集的概念,讨论一致模糊集的基本性质。其次在一致模糊集的基础上引入一致模糊完备集,最后通过给出一种新的模糊way-below关系引入一致模糊连续集的概念,给出其若干性质。

In this paper, the concept of uniform fuzzy posets is introduced on the fuzzy directed posets, and the basic properties of the uniformly fuzzy posets are discussed. Secondly, the uniformly fuzzy complete posets are introduced on the basis of uniformly fuzzy posets. Finally, by introducing a new fuzzy way-below relation, the concept of uniformly fuzzy continuous posets is introduced and some properties are given.