Interesting Esoterica

Fuzzy plane geometry I: Points and lines

Article by J.J. Buckley and E. Aslami
  • Published in 1997
  • Added on
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.

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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},
	year = 1997
}