# Fuzzy plane geometry I: Points and lines

• Published in 1997
In the collection
We introduce a comprehensive study of fuzzy geometry in this paper by first defining a fuzzy point and a fuzzy line in fuzzy plane geometry. We consider the fuzzy distance between fuzzy points and show it is a (weak) fuzzy metric. We study various definitions of a fuzzy line, develop their basic properties, and investigate parallel fuzzy lines.

### BibTeX entry

@article{FuzzyGeometry,
title = {Fuzzy plane geometry I: Points and lines },
abstract = {We introduce a comprehensive study of fuzzy geometry in this paper by first defining a fuzzy point and a fuzzy line
in fuzzy plane geometry. We consider the fuzzy distance between fuzzy points and show it is a (weak) fuzzy metric.
We study various definitions of a fuzzy line, develop their basic properties, and investigate parallel fuzzy lines. },
}