模糊复平面:点与线  

Fuzzy Complex Plane Geometry:Points and Lines

作　　者：王芳弟 刘自强[2] WANG Fangdi;LIU Ziqiang(Department of Basic Courses,Lanzhou Institute of Technology,Lanzhou 730050,China;Division of Economic Management,Gansu Provincial Hospital of TCM,Lanzhou 730050,China)

机构地区：[1]兰州工业学院基础学科部,甘肃兰州730050 [2]甘肃省中医院经济管理处,甘肃兰州730050

出　　处：《兰州工业学院学报》2024年第5期96-101,105,共7页Journal of Lanzhou Institute of Technology

基　　金：兰州工业学院青年科技创新项目(2024KJ-07)。

摘　　要：通过在模糊复平面中提出的模糊复点和模糊复线的概念,研究了模糊复平面的几何性质;定义了模糊复距离,证明了它是2个模糊复点之间的1个(弱)模糊复度量;讨论了模糊复线的基本性质;同时研究了模糊复线段、平行和相交的模糊复线,并给出了一些实例说明了本文得到的结论。In this paper,the geometric properties of fuzzy complex plane are studied by the concept of the complex fuzzy point and complex fuzzy line proposed in the fuzzy complex plane.The fuzzy complex distance is defined and proved to be a(weak)fuzzy complex metric between two fuzzy complex points.The fundamental properties of the complex fuzzy line are discussed.Meanwhile,the fuzzy complex line segments,parallel,and intersecting fuzzy complex lines are studied and some examples are given to illuminate the results obtained in this paper.

关 键 词：模糊复平面 模糊复点 模糊复线 

分 类 号：O159[理学—数学]