正则剩余格的素模糊⊙理想及其拓扑性质  

Prime fuzzy ⊙-ideals and its topological properties of regular residuated lattices

作　　者：刘春辉[1,2] 

机构地区：[1]赤峰学院教务处,内蒙古赤峰024001 [2]赤峰学院数学与统计学院,内蒙古赤峰024001

出　　处：《山东大学学报（理学版）》2013年第12期52-56,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(10371106)

摘　　要：运用Zadeh提出的模糊集概念和运算特征对正则剩余格的模糊⊙理想理论作进一步研究。引入素模糊⊙理想的概念并研究其性质,建立了素模糊⊙理想定理。在全体素模糊⊙理想之集合■■⊙(L)上构造了一个拓扑■,证明了拓扑空间(■■⊙(L),■)是T0空间。We deeply study the theory of fuzzy⊙-ideals in regular residuated lattices by using the notion of fuzzy set and its operations which proposed by Zadeh.Firstly, the notion of prime fuzzy⊙-ideals is introduced and its properties are studied.And the prime fuzzy⊙-ideals theorem is established.Secondly, a topology T is constructed on the set of all prime fuzzy⊙-ideals PI⊙（ L） .It is proved that the topology space （ PI⊙（ L） , T ） is T0-space.

关 键 词：模糊逻辑 正则剩余格 素模糊⊙理想 拓扑空间 

分 类 号：O141.1[理学—数学] O189.1[理学—基础数学]