SavedAdd your journal

Journals / Avrupa Bilim ve Teknoloji Dergisi / 2026 / Sayı: 35

Central Collineations in Fuzzy and Intuitionistic Fuzzy Projective Planes

Elif Altıntaş(HALİÇ ÜNİVERSİTESİ)0000-0002-3454-0326
Ayşe Bayar(ESKISEHIR OSMANGAZI UNIVERSITY)0000-0002-2210-5423
Pages
355–363
Publication Date
2022-05-07
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The properties of fuzzy and intuitionistic fuzzy projective planes left invariant under the fuzzy central collineations and the intuitionistic fuzzy central collineations are characterized depending on the base point, base line and the membership degrees of fuzzy projective plane and intuitionistic fuzzy projective plane.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the fuzzy counterparts and intuitionistic fuzzy counterparts of the central collineations defined in classical projective planes are defined in fuzzy and intuitionistic fuzzy projective planes, respectively.
📊
Key Findings & Data:In this paper, the fuzzy counterparts and intuitionistic fuzzy counterparts of the central collineations defined in classical projective planes are defined in fuzzy and intuitionistic fuzzy projective planes, respectively.
💡
Conclusion & Impact:The properties of fuzzy and intuitionistic fuzzy projective planes left invariant under the fuzzy central collineations and the intuitionistic fuzzy central collineations are characterized depending on the base point, base line and the membership degrees of fuzzy projective plane and intuitionistic fuzzy projective plane.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Central Collineation · Fuzzy Projective Plane · Intuitionistic Fuzzy Projective Plane

Abstract

In this paper, the fuzzy counterparts and intuitionistic fuzzy counterparts of the central collineations defined in classical projective planes are defined in fuzzy and intuitionistic fuzzy projective planes, respectively. The properties of fuzzy and intuitionistic fuzzy projective planes left invariant under the fuzzy central collineations and the intuitionistic fuzzy central collineations are characterized depending on the base point, base line and the membership degrees of fuzzy projective plane and intuitionistic fuzzy projective plane.

Özet

In this paper, the fuzzy counterparts and intuitionistic fuzzy counterparts of the central collineations defined in classical projective planes are defined in fuzzy and intuitionistic fuzzy projective planes, respectively. The properties of fuzzy and intuitionistic fuzzy projective planes left invariant under the fuzzy central collineations and the intuitionistic fuzzy central collineations are characterized depending on the base point, base line and the membership degrees of fuzzy projective plane and intuitionistic fuzzy projective plane.

🔖

Cite This Article

Altıntaş, E., Bayar, A. (2022). Central Collineations in Fuzzy and Intuitionistic Fuzzy Projective Planes. Avrupa Bilim ve Teknoloji Dergisi, Sayı: 35, 355–363. https://doi.org/10.31590/ejosat.1075566

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. K.S. Abdukhalikov, The Dual of a Fuzzy Subspace, FSS 82 (1996) 375-381.
  2. Z. Akc¸a, A. Bayar, S. Ekmekc¸i, H.V. Maldeghem, Fuzzy projective spreads of fuzzy projective spaces, Fuzzy Sets and Systems, 157(24) (2006) 3237–3247.
  3. E. Altıntas¸ Kahriman, On Maps in Fuzzy and Intuitionistic Fuzzy Projective Planes, Eskis¸ehir Osmangazi University, Institute of Science, Doctoral Thesis, 2020.
  4. K.T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20 (1986) 87-96.
  5. R. Baer, Projectivities with fixed points on every line of the plane. Bull. Amer. Math. Soc. 52 (1946) 273-286.
  6. E. A. Ghassan, Intuitionistic fuzzy projective geometry, J. of Al-Ambar University for Pure Science, 3 (2009) 1-5.
  7. D. R. Hughes and F. C. Piper, Projective Planes, Springer-Verlag, New York Heidelberg, Berlin, 1973.
  8. A. K. Katsaras, D. B. Liu, Fuzzy vector spaces and fuzzy topological vector spaces, J. Math. Anal. Appl. 58 (1) (1977) 135-146.
  9. L. Kuijken, H.V. Maldeghem, E.E. Kerre, Fuzzy projective geometries from fuzzy vector spaces, Information processing and management of uncertainty in knowledge-based systems. Editions Medicales et Scientifiques. Paris,La Sorbonne, (1998) 1331–8.
  10. L. Kuijken, H.V. Maldeghem, E.E. Kerre, Fuzzy projective geometries from fuzzy groups, Tatra Mt. Math. Publ. 16 (1999) 85-108.
  11. L. Kuijken, Fuzzy projective geometries, Mathematics, Computer Science, EUSFLAT- ESTYLF Joint Conf., 1999.
  12. R. Baer, Projectivities with fixed points on every line of the plane. Bull. Amer. Math. Soc. 52 (1946) 273-286.