| Title of paper:
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A property of the intuitionistic fuzzy modal logic operator Xa,b,c,d,e,f
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| Author(s):
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| Krassimir Atanassov
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Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas–8000, Bulgaria
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| krat@bas.bg
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| Published in:
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"Notes on IFS", Volume 21, 2015, Number 1, pages 1—5
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| Download:
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 PDF (146 Kb, Info)
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| Abstract:
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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]
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| Keywords:
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Intuitionistic fuzzy pair, Extended modal operator.
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| AMS Classification:
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03E72.
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| References:
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- 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.
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