新定义的Fuzzifying半邻域系及其应用New Semi-Open Sets in Fuzzifying Spaces
左玥,方进明
摘要(Abstract):
本文用新的方法引入fuzzifying半开集的概念;利用此半开集概念确定fuzzifying半邻域系。最后作为应用定义了映射的fuzzifying半连续性并给出若干刻画条件。
关键词(KeyWords): Fuzzifying拓扑;半开集;半邻域系;半连续性
基金项目(Foundation): 山东省自然科学基金项目 (Q99A0 2 )资助
作者(Author): 左玥,方进明
DOI: 10.16441/j.cnki.hdxb.2005.03.016
参考文献(References):
- [1] LevineNL .Semi opensetsandsemicontinuityintopologicalspace[J].AmerMathMonthly,1963,70:3441.
- [2] 王国俊.S 闭空间[J].数学通报,1981,24:5563.
- [3] 王国俊.L fuzzy拓扑空间论[M].西安:陕西师范大学出版社,1988.
- [4] FangJM .FuzzyS RO equivalentproperliesinFTS [J].青岛海洋大学学报,1998,28(1):117172.
- [5] 杨忠强.半同胚拓扑类和类拓扑性质[J].科学通报,1984,7:388390.
- [6] AzardKK .Onfuzzysemicontinuity,fuzzyalmostcontinuityandfuzzyweaklycontinuity[J].JMathAnalAppl,1981,82:1432.
- [7] FangJM .Semi closedelementsandsemi interioroperationoncom pletelydistributivelattices[J].FuzzySetsandSystems,1996,82:111119.
- [8] 方进明.最强伴随拓扑与最弱伴随拓扑[J].青岛海洋大学学报,1994,24(1):138142.
- [9] YingMingsheng.Anewapproachtofuzzytopology(Ⅰ)[J].FuzzySetsandSystem,1991,39:303321.
- [10] KhedrFH ,ZeyadaFM ,SayedOR .Onseparationaxiomsinfuzzi fyingtopology[J].FuzzySetsandSystems,2001,119:439458.
- [11] 朱靖峰.Familiesofsemi opensetsandtheiraccompaniedtopologies[J].数学研究与评论,1989,9:6368.
- [12] RosserJB ,TurqutteAR .ManyValuedLogics[M].AmsterdamNewYork:NorthHolland,1952.
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