直觉Fuzzifying拓扑空间的闭包算子  

Closure operator of intuitionistic Fuzzifying topological space

作　　者：何琼 王小霞[1] 薛雨佳 HE Qiong;WANG Xiaoxia;XUE Yujia(College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2023年第2期111-114,共4页Journal of Yan'an University：Natural Science Edition

基　　金：陕西省自然科学基础研究计划项目(2018JM1042);国家级大学生创新创业训练项目(S202010719004);延安大学研究生教育创新计划项目(YCX2021058)。

摘　　要：利用L*-格值上的Lukasiewicz蕴含算子,讨论直觉Fuzzifying拓扑空间的闭包算子。首先给出了直觉Fuzzifying拓扑空间中闭包度的概念及其相关性质,其次定义直觉Fuzzifying拓扑空间的闭包算子,最后证明了拓扑的直觉Fuzzifying闭包算子Icl等价于从直觉Fuzzifying闭包算子Icl出发得到一个直觉Fuzzifying拓扑Iτ定义的闭包算子Icl。Using the Lukasiewicz implication operator on L*-lattice value,the closure operator of intuitionistic Fuzzifying topological space is discussed.Firstly,the concept of closure degree in intuitionistic Fuzzifying topological space and its related properties are obtained.Secondly,the closure operator of intuitionistic Fuzzifying topological space is given.Finally,it is proved that the intuitionistic Fuzzifying closure operator Icl of topology is equivalent to the closure operator Icl defined by intuitionistic Fuzzifying topology Iτ.

关 键 词：直觉Fuzzifying拓扑空间 L*-格值逻辑 直觉Fuzzifying闭包算子 

分 类 号：O189.13[理学—数学]