L-Fuzzy空间中相关的拟映射
发布时间：2018-11-03 21:29
【摘要】：利用L-fuzzy拓扑空间中的r-拟半开L-集和r-拟半闭L-集,定义拟半连续映射、拟半开映射、拟半闭映射、拟半不定映射、拟半不定开映射和拟半不定闭映射,证明了每个拟连续映射都是拟半连续映射,每个拟开(拟闭)映射都是拟半开(拟半闭)映射,每个拟半不定映射都是拟半连续映射,并给出上述映射的等价刻画.
[Abstract]:Using r-quasi semi-open L- set and r-quasi semi-closed L- set in L-fuzzy topological space, we define quasi-semi-continuous mapping, quasi-semi-open mapping, quasi-semi-closed mapping, quasi-semi-indeterminate open mapping and quasi-semi-indeterminate closed mapping. It is proved that every quasi continuous mapping is quasi semicontinuous mapping, every quasi open (quasi closed) mapping is quasi semi open (quasi semi closed) mapping, and every quasi semi semicontinuous mapping is quasi semicontinuous mapping, and the equivalent characterizations of the above mappings are given.
【作者单位】： 牡丹江师范学院数学科学学院;国家科技基础条件平台中心;北京北方车辆集团有限公司;
【基金】：国家自然科学基金(批准号:M1551001) 牡丹江师范学院青年学术骨干项目(批准号:GG2017002)
【分类号】：O189.11
[Abstract]:Using r-quasi semi-open L- set and r-quasi semi-closed L- set in L-fuzzy topological space, we define quasi-semi-continuous mapping, quasi-semi-open mapping, quasi-semi-closed mapping, quasi-semi-indeterminate open mapping and quasi-semi-indeterminate closed mapping. It is proved that every quasi continuous mapping is quasi semicontinuous mapping, every quasi open (quasi closed) mapping is quasi semi open (quasi semi closed) mapping, and every quasi semi semicontinuous mapping is quasi semicontinuous mapping, and the equivalent characterizations of the above mappings are given.
【作者单位】： 牡丹江师范学院数学科学学院;国家科技基础条件平台中心;北京北方车辆集团有限公司;
【基金】：国家自然科学基金(批准号:M1551001) 牡丹江师范学院青年学术骨干项目(批准号:GG2017002)
【分类号】：O189.11
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