Analytical fuzzy plane geometry I

نویسندگان

  • Debdas Ghosh
  • Debjani Chakraborty
چکیده

This paper provides a detailed analysis of fuzzy point, fuzzy line segment, fuzzy distance and the angle between two fuzzy line segments. Two new concepts, same points and inverse points, are defined for this analysis. The basic properties of fuzzy distance, ideas about the containment of a fuzzy point on a fuzzy line segment and the coincidence of two fuzzy points are also described. A linear combination of two fuzzy points is introduced to define a fuzzy line segment. The fuzzy point dividing a fuzzy line segment in a given ratio is also investigated. All the discussion points are supported by suitable examples. © 2012 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 209  شماره 

صفحات  -

تاریخ انتشار 2012