EN
Fuzzy Collineations of Fuzzy Projective Planes
Abstract
In this paper, the fuzzy counterparts of the collineations defined in the classical projective planes are defined in fuzzy projective planes. The properties of fuzzy projective plane left invariant under the fuzzy collineations are characterized depending on the base point, base line and the membership degrees of fuzzy projective plane.
Keywords
References
- [1] K.S. Abdukhalikov, The Dual of a Fuzzy Subspace, Fuzzy Sets and Systems, 7, 375-381, 1996.
- [2] E. Altintas, On Maps in Fuzzy and Intuitionistic Fuzzy Projective Planes, Eskis¸ehir Osmangazi University, Institute of Science, Doctoral Thesis, 2020.
- [3] Z. Akc¸a, A. Bayar and S. Ekmekc¸i, Fuzzy projective spreads of fuzzy projective spaces, Fuzzy Sets and Systems, 157, 3237-3247, 2006.
- [4] F. Buekenhout, Handbook of Incidence Geometry, Building and Foundations, North- Holland, Amsterdam, 1995.
- [5] H. S. M. Coxeter, Projective Geometry, Springer- Verlag, 1974.
- [6] S. Ekmekc¸i, Z. Akc¸a and A. Bayar, On the classification of fuzzy projective planes of fuzzy 3 dimensional projective space, Chaos, Solitons and Fractals, 40 (5), 2146–2151, 2009.
- [7] D. R. Hughes and F. C. Piper, Projective Planes, Springer-Verlag, New York Heidelberg Berlin, 1973.
- [8] A. K. Katsaras and D. B. Liu, Fuzzy vector spaces and fuzzy topological vector spaces, Journal of Mathematical Analysis and Applications, 58 (1), 135-146, 1977.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 15, 2022
Submission Date
May 20, 2021
Acceptance Date
April 20, 2022
Published in Issue
Year 2022 Volume: 10 Number: 1
APA
Altıntaş, E., & Bayar, A. (2022). Fuzzy Collineations of Fuzzy Projective Planes. Konuralp Journal of Mathematics, 10(1), 166-170. https://izlik.org/JA96HT97NE
AMA
1.Altıntaş E, Bayar A. Fuzzy Collineations of Fuzzy Projective Planes. Konuralp J. Math. 2022;10(1):166-170. https://izlik.org/JA96HT97NE
Chicago
Altıntaş, Elif, and Ayşe Bayar. 2022. “Fuzzy Collineations of Fuzzy Projective Planes”. Konuralp Journal of Mathematics 10 (1): 166-70. https://izlik.org/JA96HT97NE.
EndNote
Altıntaş E, Bayar A (April 1, 2022) Fuzzy Collineations of Fuzzy Projective Planes. Konuralp Journal of Mathematics 10 1 166–170.
IEEE
[1]E. Altıntaş and A. Bayar, “Fuzzy Collineations of Fuzzy Projective Planes”, Konuralp J. Math., vol. 10, no. 1, pp. 166–170, Apr. 2022, [Online]. Available: https://izlik.org/JA96HT97NE
ISNAD
Altıntaş, Elif - Bayar, Ayşe. “Fuzzy Collineations of Fuzzy Projective Planes”. Konuralp Journal of Mathematics 10/1 (April 1, 2022): 166-170. https://izlik.org/JA96HT97NE.
JAMA
1.Altıntaş E, Bayar A. Fuzzy Collineations of Fuzzy Projective Planes. Konuralp J. Math. 2022;10:166–170.
MLA
Altıntaş, Elif, and Ayşe Bayar. “Fuzzy Collineations of Fuzzy Projective Planes”. Konuralp Journal of Mathematics, vol. 10, no. 1, Apr. 2022, pp. 166-70, https://izlik.org/JA96HT97NE.
Vancouver
1.Elif Altıntaş, Ayşe Bayar. Fuzzy Collineations of Fuzzy Projective Planes. Konuralp J. Math. [Internet]. 2022 Apr. 1;10(1):166-70. Available from: https://izlik.org/JA96HT97NE
