Affiliation:
1. ESKİŞEHİR OSMANGAZİ ÜNİVERSİTESİ
2. ESKISEHIR OSMANGAZI UNIVERSITY
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.
Publisher
Anadolu Universitesi Bilim ve Teknoloji Dergisi-A: Uygulamali Bilimler ve Muhendislik
Reference11 articles.
1. [1] Akça Z, Bayar A, Ekmekçi S, Van Maldeghem H. Fuzzy Projective Spreads of Fuzzy Projective Spaces, Fuzzy Sets and Systems, 2006; 157(24): 3237-3247.
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, 2007; 55(2): 17-23.
3. [3] Akça Z, Altıntaş A. Fuzzy Counterpart of Klein Quadric, International Electronic Journal of Geometry, 2023; 16(2): 680–688.
4. [4] Bayar A, Akça Z, Ekmekçi S. A Note on Fibered Projective Plane Geometry, Information Science, 2008; 178: 1257-1262.
5. [5] Ekmekçi S, Bayar A, Akça Z. On the classification of Fuzzy projective planes of Fuzzy 3-dimensional projective spaces, Chaos, Solitons and Fractals, 2009; 40: 2146-2151.