Fuzzy plane geometry I: Points and lines
- Published in 1997
- Added on
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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,Geometry},
year = 1997
}