Fuzzy Counterpart of Klein Quadric-Reference-Cited by-同舟云学术

Fuzzy Counterpart of Klein Quadric

Published:2023-10-29 Issue:2 Volume:16 Page:680-688
ISSN:1307-5624
Container-title:International Electronic Journal of Geometry
language:
Short-container-title:

Author:

AKÇA Ziya¹^ORCID,ALTINTAŞ Abdilkadir^ORCID

Affiliation:

1. ESKISEHIR OSMANGAZI UNIVERSITY, FACULTY OF SCIENCE AND LETTERS

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 a research study on he 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.

Publisher

International Electronic Journal of Geometry, Person (Kazim ILARSLAN)

Subject

Applied Mathematics,Geometry and Topology,Mathematical Physics

Reference12 articles.

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2. [2] Akça, Z., Bayar, A., Ekmekçi, S.: On the classification of Fuzzy projective lines of Fuzzy 3-dimensional projective spaces, Communications Mathematics and Statistics, Vol. 55(2), 17-23 (2007).

3. [3] Akça, Z., Bayar, A., Ekmekçi, S., Kaya, R., Thas, J. A., Van Maldeghem H.: Generalized lax Veronesean embeddings of projective spaces, Ars Combin. 103, 65-80 (2012).

4. [4] Akça, Z.: On fuzzify the notion of Grassmannian in fuzzy n dimensional projective space, International Journal of the Physical Sciences, vol. 6, no. 25, pp. 5877-5882 (2011).

5. [5] Bayar, A., Akça, Z., Ekmekçi, S.: A Note on Fibered Projective Plane Geometry, Information Science 178, 1257-1262 (2008).

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