TY - JOUR T1 - Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes AU - Altıntaş, Elif AU - Bayar, Ayşe PY - 2022 DA - December Y2 - 2022 DO - 10.33401/fujma.1049786 JF - Fundamental Journal of Mathematics and Applications JO - Fundam. J. Math. Appl. PB - Fuat USTA WT - DergiPark SN - 2645-8845 SP - 273 EP - 279 VL - 5 IS - 4 LA - en AB - 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. KW - Collineation KW - Intuitionistic Fuzzy KW - Intuitionistic Fuzzy Projective Plane KW - Isomorphism KW - Projective Plane CR - [1] L. A. Zadeh, Fuzzy sets, Inf.Control, 8 (1965), 338-353. CR - [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. CR - [3] L. Kuijken, H.V. Maldeghem, E.E. Kerre, Fuzzy projective geometries from fuzzy groups, Tatra Mt. Math. Publ., 16 (1999), 85-108. CR - [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. CR - [5] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst, 20 (1986), 87-96. CR - [6] E. A. Ghassan, Intuitionistic fuzzy projective geometry, JUAPS, 3 (2009), 1-5. CR - [7] P. K. Sharma, Homomorphism of Intuitionistic Fuzzy Groups, Int. Math. Forum, 6(64) (2011), 3169 - 3178. CR - [8] B. Pekala, Properties of Atanassov’s intuitionistic fuzzy relations and Atanassov’s operators, Inf. Sci., 213 (2012), 84-93. CR - [9] R., Pradhan, M., Pal, Intuitionistic Fuzzy Linear Transformations, APAM, 1(1) (2012), 57-68. CR - [10] A. Bayar, S. Ekmekci, On some classical theorems in intuitionistic fuzzy projective plane, Konuralp J. Math., 3(1) (2015), 12-15. CR - [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. CR - [12] G. Cuvalcioglu, S. Tarsuslu (Yılmaz), Isomorphism Theorems on Intuitionistic FuzzyAbstract Algebras, CMA, 12(1), (2021), 109-126. CR - [13] E. Altıntas¸, A. Bayar, Central Collineations in Fuzzy and Intuitionistic Fuzzy Projective Planes, EJOSAT, 35 (2022), 355-363. CR - [14] E. Altıntas¸, A. Bayar, Fuzzy Collineations of Fuzzy Projective Planes, Konuralp J. Math., 10(1) (2022), 166-170. CR - [15] K.S. Abdukhalikov, Fuzzy Linear Maps, J. Math. Anal. Appl. 220 (1998), 1-12. UR - https://doi.org/10.33401/fujma.1049786 L1 - https://dergipark.org.tr/en/download/article-file/2162468 ER -