L-Flou集范畴及其层表示  

Category of L-Flou Sets and Its Sheaves Representation

作　　者：周鑫 刘静[3] 汤建钢[1] ZHOU Xin;LIU Jing;TANG Jiangang(School of Mathematics and Statistics,Yili Normal University,Yining 835000,Xinjiang Uygur Autonomous Region,China;School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China;Department ofFoundation,Yili Vocational and Technical Collegge,Yining 835000,Xinjiang Uygur Autonomous Region,China)

机构地区：[1]伊犁师范学院数学与统计学院,新疆伊宁835000 [2]东北师范大学数学与统计学院,长春130024 [3]伊犁职业技术学院基础部,新疆伊宁835000

出　　处：《吉林大学学报（理学版）》2018年第5期1053-1057,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金面上基金(批准号:1177010596);新疆维吾尔自治区重点学科开放课题项目(批准号:XJZDXK-M2017015)

摘　　要：用模糊集的方法和原理,给出L-flou集合范畴Set(fL)的概念,并证明L-fuzzy集合范畴Set(L)与范畴Set(fL)的同构关系.根据范畴Set(L)与赋予层结构的集合范畴SetL(S H)的同构关系,得到范畴Set(fL)同构于范畴Set_L(S H).Using the method and principle of fuzzy sets,we gave the concept of category Set(f■)of■-f lou sets,and proved that the category Set(■)of■-fuzzy sets was isomorphic to the category Set(f■).According to the isomorphism relationship between the category Set(■)and the lifting category Set■(S H)of sheaf structures on the sets category,we obtained the cat egory Set(f■)was isomorphic to the category S et■(■).

关 键 词：L-FUZZY集 L-flou集 范畴 层 同构 

分 类 号：O159[理学—数学]