Fuzzy Counterpart of Klein Quadric


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AKÇA Z., Altıntaş A.

International Electronic Journal of Geometry, cilt.16, sa.2, ss.680-688, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.36890/iejg.1343784
  • Dergi Adı: International Electronic Journal of Geometry
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.680-688
  • Anahtar Kelimeler: Fuzzy point, fuzzy projective space, fuzzy vector space, Klein quadric
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Many techniques have been proposed to project the high-dimensional space into a low-dimensional space, one of the most famous methods being principal component analysis. The Klein quadric is a geometric shape defined by a second-degree homogeneous equation. The lines of projective three-space are, via the Klein mapping, in one-to-one correspondence with points of a hyperbolic quadric of the projective 5−space. This paper presents some results on the images under the Klein mapping of the projectice 3−space order of 4 and the fuzzification of the Klein quadric in 5−dimensional projective space.