Fuzzy plane geometry. I: Points and lines
type: Item
instance of: scholarly article
title: Fuzzy plane geometry. I: Points and lines
zbMATH Open document ID: 0923.51019
DOI: 10.1016/0165-0114(95)00342-8
author: Esfandiar Eslami
author: James J. Buckley
published in: Fuzzy Sets and Systems
publication date: 1999-10-06T00:00:00Z
review text: This paper initiates the study of fuzzy geometry by first studying two basic ideas, fuzzy points and fuzzy lines, in fuzzy plane geometry. The authors consider the fuzzy distance between fuzzy points and show that it is a weak fuzzy metric. They study various definitions of a fuzzy line, develop their basic properties, and investigate parallel fuzzy lines.
Mathematics Subject Classification ID: 51M05
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 51M99
zbMATH DE Number: 1255718
zbMATH Keywords: fuzzy sets
zbMATH Keywords: fuzzy plane geometry
zbMATH Keywords: fuzzy points
zbMATH Keywords: fuzzy distance
zbMATH Keywords: parallel fuzzy lines
reviewed by: Serguey M. Pokas
MaRDI profile type: Publication
full work available at URL: 0165-0114(95)00342-8
OpenAlex ID: W2032846856
cites work: On the perimeter and area of fuzzy sets
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description: scientific article; zbMATH DE number 1255718