ON THE FUZZIFICATION OF GREEK PLANES OF KLEIN QUADRIC

Year 2024, Volume: 25 Issue: 2, 300 - 307, 28.06.2024

Münevvere Mine Karakaya , Ziya Akça

https://doi.org/10.18038/estubtda.1481317

Abstract

A projective space of dimension 3 over a finite Galois field GF(q) is denoted as PG(3,q). It is defined as the set of all one-dimensional subspaces of 4-dimensional vector space over this Galois field. Klein transformation maps a projective plane of PG(3,2) to a Greek plane of the Klein quadric. This paper introduces the fuzzification of Greek planes passing through the base point, any point on the base line different from the base point, and any point not on the base line of the base plane of 5-dimensional fuzzy projective space.

Keywords

Klein quadric, Projective spaces, Fuzzy projective spaces, Fuzzy Klein quadric

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