| Title of paper:
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Intuitionistic fuzzy partition
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| Author(s):
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| Katarína Čunderlíková
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| Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
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| cunderlikova.lendelova@gmail.com
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| Published in:
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"Notes on IFS", Volume 23, 2017, Number 3, pages 44—53
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| Download:
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 PDF (157 Kb Kb, File info)
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| Abstract:
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In the paper we defined the notion of partition on family of intuitionistic fuzzy sets and we studied important properties.
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| Keywords:
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Intuitionistic fuzzy partition, Refinement, Join of IF-partitions, IF-sets, Finitely additive IF-state, Product, MV-algebra, Finitely additive state.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing. Springer Physica Verlag, Heidelberg.
- Atanassov, K. T. (2012) On Intuitionistic Fuzzy Sets. Springer, Berlin.
- Birkhoff, G. (1973) Lattice Theory. AMS Colloquium Publications, 25, Providence, Rhode Island.
- Lendelová, K. (2006) Conditional IF-probability. In Advances in Soft Computing: Soft Methods for Integrated Uncertainty Modelling, 275–283.
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- Riečan, B. (2007) Probability theory on intuitionistic fuzzy events. In A volume in honour of Daniele Mundici's 60th birthday—, Lecture Notes in Computer Science.
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- Riečan, B. (2015) Embedding of IF-states to MV-algebras, In Intelligent Systems’2014 Proceedings of the 7th IEEE International Conference Intelligent Systems IS’2014, September 24-26, 2014, Warsaw, Poland, Volume 1: Mathematical Foundations, Theory, Analyses (P. Angelov et al. eds.), Springer, Switzerland, 157–162.
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