Fuzzy plane geometry I: Points and lines

• Published in 1997
• Added on 2016-06-17

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

• https://www.sciencedirect.com/science/article/abs/pii/0165011495003428

Other information

BibTeX entry

@article{FuzzyGeometry,
	key = {FuzzyGeometry},
	type = {article},
	title = {Fuzzy plane geometry I: Points and lines },
	author = {J.J. Buckley and E. Aslami},
	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. },
	comment = {},
	date_added = {2016-06-17},
	date_published = {1997-12-07},
	urls = {https://www.sciencedirect.com/science/article/abs/pii/0165011495003428},
	collections = {geometry,probability-and-statistics},
	url = {https://www.sciencedirect.com/science/article/abs/pii/0165011495003428},
	urldate = {2016-06-17},
	year = 1997
}