Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2022, , 273 - 279, 01.12.2022

Elif Altıntaş , Ayşe Bayar

https://doi.org/10.33401/fujma.1049786

Öz

Kaynakça

  • [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.

Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes

Yıl 2022, , 273 - 279, 01.12.2022

Elif Altıntaş , Ayşe Bayar

https://doi.org/10.33401/fujma.1049786

Öz

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.

Anahtar Kelimeler

Collineation Intuitionistic Fuzzy Intuitionistic Fuzzy Projective Plane Isomorphism Projective Plane

Kaynakça

  • [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.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Elif Altıntaş 0000-0002-3454-0326

Ayşe Bayar 0000-0002-2210-5423

Yayımlanma Tarihi 1 Aralık 2022
Gönderilme Tarihi 28 Aralık 2021
Kabul Tarihi 19 Ağustos 2022
Yayımlandığı Sayı Yıl 2022

Kaynak Göster

APA Altıntaş, E., & Bayar, A. (2022). Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes. Fundamental Journal of Mathematics and Applications, 5(4), 273-279. https://doi.org/10.33401/fujma.1049786
AMA Altıntaş E, Bayar A. Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes. Fundam. J. Math. Appl. Aralık 2022;5(4):273-279. doi:10.33401/fujma.1049786
Chicago Altıntaş, Elif, ve Ayşe Bayar. “Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes”. Fundamental Journal of Mathematics and Applications 5, sy. 4 (Aralık 2022): 273-79. https://doi.org/10.33401/fujma.1049786.
EndNote Altıntaş E, Bayar A (01 Aralık 2022) Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes. Fundamental Journal of Mathematics and Applications 5 4 273–279.
IEEE E. Altıntaş ve A. Bayar, “Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes”, Fundam. J. Math. Appl., c. 5, sy. 4, ss. 273–279, 2022, doi: 10.33401/fujma.1049786.
ISNAD Altıntaş, Elif - Bayar, Ayşe. “Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes”. Fundamental Journal of Mathematics and Applications 5/4 (Aralık 2022), 273-279. https://doi.org/10.33401/fujma.1049786.
JAMA Altıntaş E, Bayar A. Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes. Fundam. J. Math. Appl. 2022;5:273–279.
MLA Altıntaş, Elif ve Ayşe Bayar. “Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes”. Fundamental Journal of Mathematics and Applications, c. 5, sy. 4, 2022, ss. 273-9, doi:10.33401/fujma.1049786.
Vancouver Altıntaş E, Bayar A. Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes. Fundam. J. Math. Appl. 2022;5(4):273-9.

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