ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE

A. Bayar; S. Ekmekçi

Research Article

ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE

Year 2015, Volume: 3 Issue: 1 , 12 - 15 , 01.04.2015

A. Bayar , S. Ekmekçi

https://izlik.org/JA85KX89ZZ

Abstract

In this work, we introduce that intuitionistic fuzzy versions of some classical con gurations in projective plane are valid in intuitionistic fuzzy projective plane with base Desarguesian or Pappian plane.

Keywords

Projective plane , intuitionistic fuzzy projective plane , Desargues theorem , Pappus theorem

References

[1] Z. Akça, A. Bayar, S. Ekmekçi, On the classication of fuzzy projective lines of fuzzy 3- dimensional projective space, Communications Mathematics and Statistics, 55 No.2 (2006) 17-23.
[2] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87-96. [3] A. Bayar, S. Ekmekci, Z. Akca, A note on bered projective plane geometry, Information Sciences, 178 (2008) 1257-1262.
[4] A. Bayar, S. Ekmekçi, On the Menelaus and Ceva 6-gures in the bered projective planes, Abstract and Applied Analysis, (2014) 1-5.
[5] D. Çoker, M. Demirci, On intuitionistic fuzzy points, NIFS 1 (1995) 2, 79-84.
[6] S. Ekmekci , Z. Akça, A. Bayar, On the classication of fuzzy projective planes of fuzzy 3-dimensional projective space, Chaos Solitons & Fractals, 40 (2009) 2146-2151.
[7] E. A. Ghassan, Intuitionistic fuzzy projective geometry, J. of Al-Ambar University for Pure Science, 3 (2009) 1-5.
[8] D. R. Hughes, F.C. Piper, Projective planes, Springer, New York, Heidelberg, Berlin, 1973. [9] L. Kuijken, H. Van Maldeghem, Fibered geometries, Discrete Mathematics 255 (2002) 259- 274.
[10] L. Kuijken, H. Van Maldeghem, E.E. Kerre, Fuzzy projective geometries from fuzzy vector spaces, in: A. Billot et al. (Eds.), Information Processing and Management of Uncertainty in Knowledge-based Systems, Editions Medicales et Scientiques, Paris, La Sorbonne, 1998, pp. 1331-1338.
[11] N.Turanlı, An overview of intuitionistic fuzzy supratopological spaces, Hacettepe Journal of Mathematics and Statistics, 32(2003)-(17-26).
[12] L. Zadeh, Fuzzy sets, Inform. Control, 8 (1965) 338-358.

Year 2015, Volume: 3 Issue: 1 , 12 - 15 , 01.04.2015

A. Bayar , S. Ekmekçi

https://izlik.org/JA85KX89ZZ

Abstract

References

[1] Z. Akça, A. Bayar, S. Ekmekçi, On the classication of fuzzy projective lines of fuzzy 3- dimensional projective space, Communications Mathematics and Statistics, 55 No.2 (2006) 17-23.
[2] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87-96. [3] A. Bayar, S. Ekmekci, Z. Akca, A note on bered projective plane geometry, Information Sciences, 178 (2008) 1257-1262.
[4] A. Bayar, S. Ekmekçi, On the Menelaus and Ceva 6-gures in the bered projective planes, Abstract and Applied Analysis, (2014) 1-5.
[5] D. Çoker, M. Demirci, On intuitionistic fuzzy points, NIFS 1 (1995) 2, 79-84.
[6] S. Ekmekci , Z. Akça, A. Bayar, On the classication of fuzzy projective planes of fuzzy 3-dimensional projective space, Chaos Solitons & Fractals, 40 (2009) 2146-2151.
[7] E. A. Ghassan, Intuitionistic fuzzy projective geometry, J. of Al-Ambar University for Pure Science, 3 (2009) 1-5.
[8] D. R. Hughes, F.C. Piper, Projective planes, Springer, New York, Heidelberg, Berlin, 1973. [9] L. Kuijken, H. Van Maldeghem, Fibered geometries, Discrete Mathematics 255 (2002) 259- 274.
[10] L. Kuijken, H. Van Maldeghem, E.E. Kerre, Fuzzy projective geometries from fuzzy vector spaces, in: A. Billot et al. (Eds.), Information Processing and Management of Uncertainty in Knowledge-based Systems, Editions Medicales et Scientiques, Paris, La Sorbonne, 1998, pp. 1331-1338.
[11] N.Turanlı, An overview of intuitionistic fuzzy supratopological spaces, Hacettepe Journal of Mathematics and Statistics, 32(2003)-(17-26).
[12] L. Zadeh, Fuzzy sets, Inform. Control, 8 (1965) 338-358.

There are 10 citations in total.

Details

Primary Language	English
Subjects	Engineering
Journal Section	Research Article
Authors	A. Bayar S. Ekmekçi
Submission Date	June 11, 2013
Publication Date	April 1, 2015
IZ	https://izlik.org/JA85KX89ZZ
Published in Issue	Year 2015 Volume: 3 Issue: 1

Cite

APA	Bayar, A., & Ekmekçi, S. (2015). ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE. Konuralp Journal of Mathematics, 3(1), 12-15. https://izlik.org/JA85KX89ZZ
AMA	1.Bayar A, Ekmekçi S. ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE. Konuralp J. Math. 2015;3(1):12-15. https://izlik.org/JA85KX89ZZ
Chicago	Bayar, A., and S. Ekmekçi. 2015. “ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE”. Konuralp Journal of Mathematics 3 (1): 12-15. https://izlik.org/JA85KX89ZZ.
EndNote	Bayar A, Ekmekçi S (April 1, 2015) ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE. Konuralp Journal of Mathematics 3 1 12–15.
IEEE	[1]A. Bayar and S. Ekmekçi, “ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE”, Konuralp J. Math., vol. 3, no. 1, pp. 12–15, Apr. 2015, [Online]. Available: https://izlik.org/JA85KX89ZZ
ISNAD	Bayar, A. - Ekmekçi, S. “ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE”. Konuralp Journal of Mathematics 3/1 (April 1, 2015): 12-15. https://izlik.org/JA85KX89ZZ.
JAMA	1.Bayar A, Ekmekçi S. ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE. Konuralp J. Math. 2015;3:12–15.
MLA	Bayar, A., and S. Ekmekçi. “ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE”. Konuralp Journal of Mathematics, vol. 3, no. 1, Apr. 2015, pp. 12-15, https://izlik.org/JA85KX89ZZ.
Vancouver	1.A. Bayar, S. Ekmekçi. ON SOME CLASSICAL THEOREMS IN INTUITIONISTIC FUZZY PROJECTIVE PLANE. Konuralp J. Math. [Internet]. 2015 Apr. 1;3(1):12-5. Available from: https://izlik.org/JA85KX89ZZ