Issue:Some relationships between new intuitionistic fuzzy modal operators

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Title of paper: Some relationships between new intuitionistic fuzzy modal operators Author(s): Sinem Yılmaz Mersin University Faculty of Arts and Sciences, Department of Mathematics sinemyilmaz@mersin.edu.tr Vassia Atanassova Institute of Biophysics and Biomedical Engineerin, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bl. 105, 1113 Sofia, Bulgaria vassia.atanassova@gmail.com Krassimir Atanassov Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria krat@bas.bg Gökhan Çuvalcioğlu Mersin University Faculty of Arts and Sciences, Department of Mathematics gcuvalcioglu@mersin.edu.tr Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 5, pages 37—42 Download:  PDF (123  Kb, File info) Abstract: The concept of Intuitionistic Fuzzy Sets was introduced in 1983 [1] as an extention of fuzzy sets [7]. Intuitionistic fuzzy modal operators firstly are defined in [1] and new modal operators are defined by different reserchers [3, 4, 5, 6]. Some properties of these operators studied by several authors. In this paper, some relationships between some of the new modal operators are examined. Keywords: Intuitionistic fuzzy modal operators, Intuitionistic fuzzy operation, Intuitionistic fuzzy sets. AMS Classification: 03E72, 47S40. References: Atanassov K.T. (1983) Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, 20–23 June 1983. (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 20 16, 20(S1), S1–S6. Atanassov, K.T., On Intuitionistic Fuzzy Sets Theory, Series "Studies in Fuzziness and Soft Computing", Springer, 2012. Atanassov, K.T., Çuvalcioğlu, G., & Atanassova V. K. (2014) A new modal operator over intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 20(5), 1–8. Çuvalcioğlu, G. (2016) One, two and uni-type operators on IFSs Imprecision and Uncertainty in Information Representation and Processing, Angelov, P., Sotirov, S. (Eds.), Springer International Publishing Switzerland, 55–71. Çuvalcioğlu, G. & Yılmaz, S. (2015) On new intuitionistic fuzzy operators: Sα,β and Tα,β Kasmera, 43(2), 317–327. Yılmaz, S. & Bal, A. (2014) Extentsion of intuitionistic fuzzy modal operators diagram with new operators, Notes on Intuitionistic Fuzzy Sets, 20(5), 26–35. Zadeh, L.A. (1965) Fuzzy Sets, Information and Control, 8, 338–353. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.