Fuzzy plane geometry I: Points and lines

@article{Buckley1997FuzzyPG,
  title={Fuzzy plane geometry I: Points and lines},
  author={J. J. Buckley and E. Eslami},
  journal={Fuzzy Sets and Systems},
  year={1997},
  volume={86},
  pages={179-187}
}
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. © 1997 Elsevier Science B.V. 
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