On the intuitionistic fuzzy projective Menelaus and Ceva's conditions

In this work, the intuitionistic fuzzy versions of Menelaus and Ceva's theorems in intuitionistic fuzzy projective plane are defined and the conditions to the intuitionistic fuzzy versions of Menelaus and Ceva 6-figures are determined.

___

  • Akça, Z., Bayar, A., Ekmekçi, S. and Van Maldeghem, H., Fuzzy projective spreads of fuzzy projective spaces, Fuzzy Sets and Systems, 157 (2006) 3237-3247.
  • Akça, Z., Bayar, A. and Ekmekçi, S., On the classification of Fuzzy projective lines of Fuzzy 3-dimensional projective spaces, Communications Mathematics and Statistics, Vol. 55(2) (2007) 17-23.
  • Akpınar, A., Çelik, B. and Çiftci, S., Cross-Ratios and 6-Figures in some Moufang-Klingenberg Planes, The Bulletin of the Belgian Mathematical Society-Simon Stevin 15(1) (2008) 49-64.
  • Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87-96.
  • Bayar, A., Akça, Z. and Ekmekçi, S., A Note on Fibered Projective Plane Geometry, Information Science, 178 (2008) 1257-1262.
  • Bayar, A. and Ekmekçi, S., On the Menelaus and Ceva 6-figures in the fibered projective planes, Absract and Applied Analysis, (2014) 1-5.
  • Bayar, A. and Ekmekçi, S., On some classical theorems in intuitionistic fuzzy projective plane, KJM,Volume 3 No. 1 (2015) 12-15.
  • Ekmekçi, S., Bayar, A. and Akça, Z., On the classification of Fuzzy projective planes of Fuzzy 3-dimensional projective spaces, Chaos, Solitons and Fractals, 40 (2009) 2146-2151.
  • Funk, B. K., Ceva and Menelaus in projective geometry, University of Louisuille, (2008) 42 p.
  • Ghassan, E. A., Intuitionistic fuzzy projective geometry, J. of Al-Ambar University for Pure Science, 3 (2009) 1-5.
  • Kaya, R. and Çiftci, S., On Menelaus and Ceva 6-figures in Moufang projective plane, Geometriae Dedicata 19 (1985) 295-296.
  • Klamkin, M. and Liu, A., Simultaneous generalizations of the theorems of Ceva and Menelaus, Mathematics Magazine, 65, (1992) 48-52.
  • Kuijken, L. and Van Maldeghem, H., Fibered Geometries, Discrete Mathematics, 255 (2002) 259-274.
  • Kuijken, L., Van Maldeghem, H. and Kerre, E., 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 Scientifiques, Paris, La Sorbonne, (1998) 1331-1338.
  • Zadeh, L., Fuzzy sets, Information control, 8 (1965) 338-353.