| Title of paper:
|
Notes on Q-probabilities on intuitionistic fuzzy events
|
| Author(s):
|
| Magdaléna Renčová
|
| Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 074 01 Banská Bystrica, Slovakia
|
| edurne.barrenechea@unavarra.es
|
|
| Presented at:
|
Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, Lisbon, Portugal, July 20-24, 2009
|
| Published in:
|
Conference proceedings, pages 1882-1886
|
| Download:
|
 PDF (154 Kb, File info)
|
| Abstract:
|
Following [9] some properties of Q-probability and Q-states are studied. Representation theorem of Q-probabilities and Q-states, the existence of the joint observable and The central limit theorem are proved.
|
| Keywords:
|
Q-probability, Q-state, representation theorem, intuitionistic fuzzy events, joint Q-observable, Central limit theorem
|
| References:
|
- Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Physica Verlag, New York, 1999.
- Atanassov, K., Riečan, B.: On two new types of probability on IF-events.In: Proc. of the First International Workshop on Intuitionistic Fuzzy Sets, Generalized Nets and Knowledge Engineering, Warsawa, 2008, pp. 11-22.
- Čunderlíková - Lendelová, K., Riečan, B.: The probability theory on B-structures. In: Proc. of the First International Workshop on Intuitionistic Fuzzy Sets, Generalized Nets and Knowledge Engineering, Warsawa, 2008, pp. 33-60.
- Gerstenkorn, T., Manko, J.: Probabilities of intuitionistic fuzzy events. In: Issues in Inteligent Systems: Paradigms (O. Hryniewicz et al. eds.). EXIT, Warsawa, 63-58.
- Grzegorzewski, P., Mrowka, E.: Probability of intuitionistic fuzzy events. In: Soft Methods in Probablity, Statistics and Data Analysis. (P.Grzegorzewski et al. eds.). Physica Verlag, New York 2002, 105-115.
- Klement, E.P., Mesiar, R., Pap, E.:Triangular Norms. Trends in Logic, Vol. 8, Kluwer Academic Publishers, Boston/London/Dordrecht, 2000, 406 pp.
- Lendelová, K.: Strong law of large numbers for IF-events. Proc. Eleventh Int. Conf. IPMU, Paris 2006, 2363-2366.
- Renčová, M., Riečan, B.: Probability on IF-sets: An elementary approach. In: First International Workshop on Intuitionistic Fuzzy Sets, Generalized Nets and Knowledge Engineering. London : University of Westminster, 8 - 17, 2006.
- Renčová, M.: On the φ−probability and φ−observables. Submitted to Fuzzy Sets and Systems. 2008.
- Riečan, B.: General form of M-probabilities on IF-events. In: Proc. of IPMU, Spain, 1675-1677, 2008.
- Riečan, B.: On a problem of Radko Mesiar: general form of IF probabilities. Fuzzy Sets and Systems 152, 2006, 1485 - 1490.
- Riečan, B.: Probability theory on intuitionistic fuzzy sets. In: A volume in honor of Daniele Mundici's 60th birthday. Lecture Notes in Computer Science, 2007.
|
| 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.
|
|
