| Title of paper:
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Notes on Q-probabilities on intuitionistic fuzzy events
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| Author(s):
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| Magdaléna Renčová
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| Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 074 01 Banská Bystrica, Slovakia
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| magdalena.rencova@umb.sk
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| Presented at:
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Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, Lisbon, Portugal, July 20-24, 2009
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| Published in:
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Conference proceedings, pages 1882-1886
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| Download:
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 PDF (154 Kb, Info)
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| Abstract:
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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.
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| Keywords:
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Q-probability, Q-state, representation theorem, intuitionistic fuzzy events, joint Q-observable, Central limit theorem
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| References:
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- 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.
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- 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.
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- 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.
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| Citations:
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