模糊一致连续集及其应用

Fuzzy Uniform Continuous Posets and Its Applications

文章将偏序集上的一致集模糊化,引入模糊一致集的概念,研究其在完备情况下的若干性质.在模糊一致完备的情况下定义新的模糊way-below关系,给出模糊一致连续集的概念,探究一致连续集的相关性质.根据一致极小集的定义方式,给出模糊一致极小集的定义,探讨模糊一致极小集在完备情况下的基本性质,并给出其若干等价刻画.上述结论推广相关文献的有关结论.

Firstly, the concept of fuzzy uniform posets is introduced according to the definition of uniform posets, and some properties of fuzzy uniform posets are studied under complete conditions. A new fuzzy waybelow relationship is defined on the fuzzy uniform complete posets, and then the concept of fuzzy uniform continuous posets is given and studied.In addition,the definition of fuzzy uniform minimal posets is proposed according to the definition of uniform minimal posets, and the basic properties are discussed and some equiva- lent characterizations are obtained under complete conditions. Some conclusions of the related literatures are extended.