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Issue:Intuitionistic fuzzy partition

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http://ifigenia.org/wiki/issue:nifs/23/3/44-53
Title of paper: Intuitionistic fuzzy partition
Author(s):
Katarína Čunderlíková
Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
cunderlikova.lendelova@gmail.com
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 3, pages 44—53
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Abstract: In the paper we defined the notion of partition on family of intuitionistic fuzzy sets and we studied important properties.
Keywords: Intuitionistic fuzzy partition, Refinement, Join of IF-partitions, IF-sets, Finitely additive IF-state, Product, MV-algebra, Finitely additive state.
AMS Classification: 03E72
References:
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  2. Atanassov, K. T. (2012) On Intuitionistic Fuzzy Sets. Springer, Berlin.
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  4. Lendelová, K. (2006) Conditional IF-probability. In Advances in Soft Computing: Soft Methods for Integrated Uncertainty Modelling, 275–283.
  5. Markechová, D., & Riečan, B. (2017) Kullback–Leibler Divergence and Mutual Information of Partitions in Product MV Algebras. Entropy, 19(6), p. 267.
  6. Riečan, B. (2006) On a problem of Radko Mesiar: general form of IF-probabilities. Fuzzy Sets and Systems, 152, 1485–1490.
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  10. 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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