| Title of paper:
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About the sum of intuitionistic fuzzy observables
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| Author(s):
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Katarína Čunderlíková  0000-0002-9772-2717
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| Institute of Mathematics and Computer Science of Mathematical Institute, Slovak Academy of Sciences, Dumbierska 1, 974 11 Banská Bystrica, Slovakia
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| cunderlikova.lendelova@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3, pages 245–257
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| DOI:
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https://doi.org/10.7546/nifs.2026.32.3.245-257
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| Download:
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 PDF (218 Kb, File info)
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| Abstract:
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In the paper, we show another way of defining the sum of intuitionistic fuzzy observables using max-min connectives. We prove the existence of this sum, and we show its properties.
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| Keywords:
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Intuitionistic fuzzy event, Intuitionistic fuzzy observable, Sum of intuitionistic fuzzy observables, Max-min connectives.
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| AMS Classification:
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60A86, 60A10.
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| References:
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- Atanassov, K. T. (1983). Intuitionistic fuzzy sets. VII ITKR 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(Suppl. 1), S1–S6 (in English).
- Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing, Vol. 35, Physica Verlag, Heidelberg.
- Atanassov, K. T. (2012). On Intuitionistic Fuzzy Sets Theory. Studies in Fuzziness and Soft Computing, Vol. 283, Springer, Berlin.
- Bartková, R., & Riečan, B., & Tirpáková, A. (2017). Probability Theory for Fuzzy Quantum Spaces with Statistical Applications, Bentham eBooks, Sharjah.
- Dvurecenskij, A. (1980). On a sum of observables in a logic. Mathematica Slovaca, 30(2), 187–196.
- Dvurecenskij, A., & Tirpáková, A. (1988). A note on a sum of observables in F-quantum spaces and its properties. Busefal, 35, 132–137.
- Dvurecenskij, A., & Tirpáková, A. (1992). Sum of observables in fuzzy quantum spaces. Applications of Mathematics, 37(1), 40–50.
- Klement, E. P. (1985). Integration of fuzzy valued functions. Revue Roumaine de Mathématiques Pures et Appliquées, 30, 375–384.
- Klement, E. P. (1987). Strong law of large numbers for random variables with values in the fuzzy real line. Communications of IFSA Mathematics Chapter, 7–11.
- Kolesarová, A., & Riečan, B. (1992). T-fuzzy observables. Tatra Mountains Mathematical Publications, 1, 73–82.
- Riečan, B. (2004). Representation of probabilities on IFS events. In: Soft Methodology and Random Information Systems. Advances in Soft Computing, Proceedings of the 2nd International Conference on Soft Methods in Probability and Statistics, 2–4 September 2004, Oviedo, Spain, Vol. 26, pp. 243–248.
- Riečan, B. (2012). Analysis of fuzzy logic models. In: Intelligent Systems, INTECH, London, pp. 219–244.
- Riečan, B., & Neubrunn, T. (1997). Integral, Measure, and Ordering. Kluwer Academic Publishers, Dordrecht and Ister Science, Bratislava.
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