Fuzzy Counterpart of Klein Quadric

Year 2023, Volume: 16 Issue: 2, 680 - 688, 29.10.2023

Ziya Akça Abdilkadir Altıntaş

https://doi.org/10.36890/iejg.1343784

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.

Keywords

Fuzzy point, fuzzy vector space, fuzzy projective space, Klein quadric

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