# Fuzzy plane geometry I: Points and lines

- Published in 1997
- Added on

In the collections

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.

## Links

### 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. }, url = {http://www.caam.rice.edu/{\~{}}yad1/miscellaneous/References/Math/Topology/Fuzzy/Fuzzy{\%}20plane{\%}20geometry{\%}20I{\%}20Points{\%}20and{\%}20lines.pdf?platform=hootsuite}, author = {J.J. Buckley and E. Aslami}, comment = {}, urldate = {2016-06-17}, collections = {Probability and statistics,Geometry}, year = 1997 }