Issue:A property of the intuitionistic fuzzy modal logic operator Xa,b,c,d,e,f

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Title of paper: A property of the intuitionistic fuzzy modal logic operator Xa,b,c,d,e,f Author(s): 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 Published in: "Notes on IFS", Volume 21, 2015, Number 1, pages 1—5 Download:  PDF (146  Kb, Info) Abstract: It is proved that for every two intuitionistic fuzzy pairs [math]\displaystyle{ \langle \mu, \nu \rangle }[/math] and [math]\displaystyle{ \langle \rho, \sigma \rangle }[/math], there are such real numbers [math]\displaystyle{ a, b, c, d, e, f \in [0,1] }[/math] satisfying the conditions for existing of operator Xa,b,c,d,e,f such that [math]\displaystyle{ X_{a, b, c, d, e, f}(\langle \mu, \nu \rangle ) = \langle \rho, \sigma\rangle }[/math] Keywords: Intuitionistic fuzzy pair, Extended modal operator. AMS Classification: 03E72. References: Atanassov, K. Two variants of intuitionistic fuzzy modal logic, Preprint IM-MFAIS-3-89, 1989, Sofia Atanassov, K. A universal operator over intuitionistic fuzzy sets, Comptes rendus de l’Academie bulgare des Sciences, 46(1), 1993, 13–15. Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg, 1999. Atanassov, K. On Intuitionistic Fuzzy Sets Theory. Springer, Berlin, 2012. A short remark on intuitionistic fuzzy operators Xa,b,c,d,e,f and xa,b,c,d,e,f, Notes on Intuitionistic Fuzzy Sets, 19(1), 54–56. Atanassov, K., Szmidt, E, & Kacprzyk, J. On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 2013, 1–13. Feys, R. Modal Logics, Gauthier, 1965,Paris. 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.