模糊比率的性质及其应用研究  

Study of Properties of Fuzzy Rate and their Applications

作　　者：张一进 李红刚 金茂明[3] 林宗兵 ZHANG YIJIN;LI HONGGANG;JIN MAOMING;LIN ZONGBING(School of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;Basic Teaching Department,Sichuan Sanhe College of Professionals,Luzhou,Sichuan 646200,China;Institute of Nonlinear Analysis Research,Changjiang Normal University,Chongqing 400803,China;School of Mathematics and Computer Science,Panzhihua University,Panzhihua,Sichuan 617000,China)

机构地区：[1]重庆邮电大学理学院,重庆400065 [2]四川三河职业学院基础教学部,泸州610065 [3]长江师范学院非线性分析研究所,重庆400803 [4]攀枝花学院数学与计算机学院,攀枝花617000

出　　处：《应用数学学报》2023年第4期522-531,共10页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金项目(No.11901073);重庆市自然科学基金面上项目(cstc2019jcyj-msxmX0716,cstc2020jcyjmsxmX0593);重庆市教委科技研究项目(No.KJQN201900619);攀枝花学院博士科研启动基金项目(bkqj2019050)资助。

摘　　要：本文提出了线性空间中算子的模糊比率的概念.研究了其性质.讨论了平面上算子B的模糊比率.作为应用,证明了一个新的不动点存在性定理.就像经典的不动点理论应用于微分方程一样,关于模糊理论的不动点存在性定理也可以应用于模糊方程或模糊微分方程.In this work,we come up with the concept of fuzzy rate of an operator in linear spaces for the very first time.Some of its properties are studied.Fuzzy rate of an operator B in a plane is discussed.As its application,a new fixed point existence theorem is obtained.Like the classical fixed point theory applied to differential equations,we believe that the Fixed Point Existence Theorem with respect to fuzzy theory might be applied to fuzzy equations or fuzzy differential equations for future study.

关 键 词：模糊比率 算子 隶属函数 不动点存在性定理 

分 类 号：O159[理学—数学]