International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

On fuzzify the notion of Grassmannianin fuzzy n-dimensional projective space

Ziya Akça     
Department of Mathematics and Computer Sciences, EskiÅŸehir Osmangazi University, 26480 EskiÅŸehir, Turkey. 
Email: [email protected]

  •  Accepted: 16 August 2011
  •  Published: 23 October 2011

Abstract

In this paper the partitions of fuzzy points of fuzzy -dimensional vector space into fuzzy 3-dimensional vector spaces and fuzzy n-dimensional projective space λ′ from fuzzy-dimensional vector space λ on V for > 2, into fuzzy projective planes are given. Here, we restrict ourselves to the case, that a subspace should necessarily have the same values in its points as the whole space and  an i-dimensional subspace of V, containing all  for j>i, and  are reals in [0,1].

 

Key words: Fuzzy point, fuzzy vector line, fuzzy vector plane, fuzzy vector space, fuzzy projective plane, fuzzy projective space.