| 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 IFS", Volume 23, 2017, Number 3, pages 44—53
|
| Download:
|
 PDF (157 Kb Kb, Info)
|
| 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:
|
- 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.
- Markechová, D., & Riečan, B. (2017) Kullback–Leibler Divergence and Mutual Information of Partitions in Product MV Algebras. Entropy, 19(6), p. 267.
- Riečan, B. (2006) On a problem of Radko Mesiar: general form of IF-probabilities. Fuzzy Sets and Systems, 152, 1485–1490.
- 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.
- Riečan, B. (2012) Analysis of fuzzy logic models, In Intelligent systems (V. Koleshko ed.), INTECH, 219–244.
- 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.
- 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.
- Riečan, B., & Mundici, D. (2002) Probability in MV-algebras. Handbook of Measure Theory (E. Pap ed.), Elsevier, Amsterdam, 869–909.
- Riečan, B., & Neubrunn T. (1997) Integral, Measure and Ordering. Kluwer, Dordrecht.
|
| Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|
