兰州工业学院学报2024,Vol.31Issue(5) :96-101,105.

模糊复平面:点与线

Fuzzy Complex Plane Geometry:Points and Lines

王芳弟 刘自强
兰州工业学院学报2024,Vol.31Issue(5) :96-101,105.

模糊复平面:点与线

Fuzzy Complex Plane Geometry:Points and Lines

王芳弟 1刘自强2
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作者信息

  • 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
  • 折叠

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.

Abstract

In this paper,the geometric properties of fuzzy complex plane are studied by the concept of the com-plex fuzzy point and complex fuzzy line proposed in the fuzzy complex plane.The fuzzy complex distance is de-fined and proved to be a(weak)fuzzy complex metric between two fuzzy complex points.The fundamental prop-erties of the complex fuzzy line are discussed.Meanwhile,the fuzzy complex line segments,parallel,and intersec-ting 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

Key words

fuzzy complex plane/fuzzy complex points/fuzzy complex lines

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出版年

2024
兰州工业学院学报
兰州工业学院

兰州工业学院学报

影响因子:0.205
ISSN:1009-2269
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