Fuzzy Counterpart of Klein Quadric
International Electronic Journal of Geometry, vol.16, no.2, pp.680-688, 2023 (ESCI, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 16 Issue: 2
- Publication Date: 2023
- Doi Number: 10.36890/iejg.1343784
- Journal Name: International Electronic Journal of Geometry
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.680-688
- Keywords: Fuzzy point, fuzzy projective space, fuzzy vector space, Klein quadric
- Open Archive Collection: AVESIS Open Access Collection
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
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.