8-9 October 2020 • Burgas, Bulgaria

Submission: 15 May 2020 • Notification: 31 May 2020 • Final Version: 15 June 2020

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.lendelovaAt sign.pnggmail.com
Published in: "Notes on IFS", 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:
  1. Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing. Springer Physica Verlag, Heidelberg.
  2. Atanassov, K. T. (2012) On Intuitionistic Fuzzy Sets. Springer, Berlin.
  3. Birkhoff, G. (1973) Lattice Theory. AMS Colloquium Publications, 25, Providence, Rhode Island.
  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.
  7. 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.
  8. Riečan, B. (2012) Analysis of fuzzy logic models, In Intelligent systems (V. Koleshko ed.), INTECH, 219–244.
  9. Riečan, B. (2015) On finitely additive IF-states, 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, - 149–156.
  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.
  11. Riečan, B., & Mundici, D. (2002) Probability in MV-algebras. Handbook of Measure Theory (E. Pap ed.), Elsevier, Amsterdam, 869–909.
  12. Riečan, B., & Neubrunn T. (1997) Integral, Measure and Ordering. Kluwer, Dordrecht.
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