Research Article

Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes

Volume: 5 Number: 4 December 1, 2022
EN

Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes

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.

Keywords

References

  1. [1] L. A. Zadeh, Fuzzy sets, Inf.Control, 8 (1965), 338-353.
  2. [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. [3] L. Kuijken, H.V. Maldeghem, E.E. Kerre, Fuzzy projective geometries from fuzzy groups, Tatra Mt. Math. Publ., 16 (1999), 85-108.
  4. [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. [5] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst, 20 (1986), 87-96.
  6. [6] E. A. Ghassan, Intuitionistic fuzzy projective geometry, JUAPS, 3 (2009), 1-5.
  7. [7] P. K. Sharma, Homomorphism of Intuitionistic Fuzzy Groups, Int. Math. Forum, 6(64) (2011), 3169 - 3178.
  8. [8] B. Pekala, Properties of Atanassov’s intuitionistic fuzzy relations and Atanassov’s operators, Inf. Sci., 213 (2012), 84-93.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 1, 2022

Submission Date

December 28, 2021

Acceptance Date

August 19, 2022

Published in Issue

Year 2022 Volume: 5 Number: 4

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
1.Altıntaş E, Bayar A. Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes. Fundam. J. Math. Appl. 2022;5(4):273-279. doi:10.33401/fujma.1049786
Chicago
Altıntaş, Elif, and Ayşe Bayar. 2022. “Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes”. Fundamental Journal of Mathematics and Applications 5 (4): 273-79. https://doi.org/10.33401/fujma.1049786.
EndNote
Altıntaş E, Bayar A (December 1, 2022) Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes. Fundamental Journal of Mathematics and Applications 5 4 273–279.
IEEE
[1]E. Altıntaş and A. Bayar, “Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes”, Fundam. J. Math. Appl., vol. 5, no. 4, pp. 273–279, Dec. 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 (December 1, 2022): 273-279. https://doi.org/10.33401/fujma.1049786.
JAMA
1.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, and Ayşe Bayar. “Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes”. Fundamental Journal of Mathematics and Applications, vol. 5, no. 4, Dec. 2022, pp. 273-9, doi:10.33401/fujma.1049786.
Vancouver
1.Elif Altıntaş, Ayşe Bayar. Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes. Fundam. J. Math. Appl. 2022 Dec. 1;5(4):273-9. doi:10.33401/fujma.1049786

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