SavedAdd your journal

Journals / Fundamental Journal of Mathematics and Applications / 2022 / Volume: 5 Issue: 4

Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes

Elif Altıntaş(HALİÇ ÜNİVERSİTESİ)0000-0002-3454-0326
Ayşe Bayar(ESKISEHIR OSMANGAZI UNIVERSITY)0000-0002-2210-5423
Pages
—
Publication Date
2022-12-01
🏛️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 the intuitionistic fuzzy projective plane left invariant under the intuitionistic fuzzy collineations are characterized depending on the base point, base line, membership degrees, and the non-membership degrees of the intuitionistic fuzzy projective plane.

📌 3 Key Takeaways

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

Abstract

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

🔖

Cite This Article

Altıntaş, E., Bayar, A. (2022). Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes. Fundamental Journal of Mathematics and Applications, Volume: 5 Issue: 4. https://doi.org/10.33401/fujma.1049786

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (15)

  1. L. A. Zadeh, Fuzzy sets, Inf.Control, 8 (1965), 338-353.
  2. L. Kuijken, H.V. Maldeghem, E.E. Kerre, Fuzzy projective geometries from fuzzy vector spaces, Proceedings 7th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, (1998), 1331–1338.
  3. L. Kuijken, H.V. Maldeghem, E.E. Kerre, Fuzzy projective geometries from fuzzy groups, Tatra Mt. Math. Publ., 16 (1999), 85-108.
  4. L. Kuijken, H.V. Maldeghem, On the definition and some conjectures of fuzzy projective planes by Gupta and Ray, and a new definition of fuzzy building geometries, Fuzzy Sets. Syst., 138 (2003), 667-685.
  5. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst, 20 (1986), 87-96.
  6. E. A. Ghassan, Intuitionistic fuzzy projective geometry, JUAPS, 3 (2009), 1-5.
  7. P. K. Sharma, Homomorphism of Intuitionistic Fuzzy Groups, Int. Math. Forum, 6(64) (2011), 3169 - 3178.
  8. B. Pekala, Properties of Atanassov’s intuitionistic fuzzy relations and Atanassov’s operators, Inf. Sci., 213 (2012), 84-93.
  9. R., Pradhan, M., Pal, Intuitionistic Fuzzy Linear Transformations, APAM, 1(1) (2012), 57-68.
  10. A. Bayar, S. Ekmekci, On some classical theorems in intuitionistic fuzzy projective plane, Konuralp J. Math., 3(1) (2015), 12-15.
  11. Z. Akca, A. Bayar, S. Ekmekci, On the Intuitionistic Fuzzy Projective Menelaus and Ceva’s conditions, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 69(1) (2020), 891-899.
  12. G. Cuvalcioglu, S. Tarsuslu (Yılmaz), Isomorphism Theorems on Intuitionistic FuzzyAbstract Algebras, CMA, 12(1), (2021), 109-126.
  13. E. Altıntas¸, A. Bayar, Central Collineations in Fuzzy and Intuitionistic Fuzzy Projective Planes, EJOSAT, 35 (2022), 355-363.
  14. E. Altıntas¸, A. Bayar, Fuzzy Collineations of Fuzzy Projective Planes, Konuralp J. Math., 10(1) (2022), 166-170.
  15. K.S. Abdukhalikov, Fuzzy Linear Maps, J. Math. Anal. Appl. 220 (1998), 1-12.