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| | author = Katarína Lendelová | | | author = Katarína Lendelová |
| | institution = Faculty of Natural Sciences, Matej Bel University, Department of Mathematics | | | institution = Faculty of Natural Sciences, Matej Bel University, Department of Mathematics |
| | address = Tajovskeho 40 974 01 Banska Bystrica, Slovakia | | | address = Tajovskeho 40 974 01 Banska Bystrica, Slovakia |
| | email-before-at = lendelov | | | email-before-at = lendelov |
| | email-after-at = fpv.umb.sk | | | email-after-at = fpv.umb.sk |
Latest revision as of 16:01, 22 April 2019
shortcut
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http://ifigenia.org/wiki/issue:nifs/11/3/66-72
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Title of paper:
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IF-probability on MV-algebras
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Author(s):
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Katarína Lendelová
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Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovskeho 40 974 01 Banska Bystrica, Slovakia
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lendelov@fpv.umb.sk
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Presented at:
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9th ICIFS, Sofia, 7-8 May 2005
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Published in:
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Conference proceedings, "Notes on Intuitionistic Fuzzy Sets", Volume 11 (2008) Number 3, pages 66—72
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Download:
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PDF (2732 Kb, File info)
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Abstract:
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The IF-probability and the separating IF-probability on MV-algebras were introduced in paper [3]. In [8] B. Riecan studied representation of IF-probability on a tribe. In this paper we generalize this representation for IF-probability on MV-algebras.
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Keywords:
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IF-probability, MV-algebra, the representation theorem
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References:
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- K. Atannasov (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Physica Verlag, New York.
- P. Grzegorzewski, E. Mrowka (2002). Probability of intuitionistic fuzzy events. In Soft Methods in Probability, Statistics and Data Analysis (P. Grzegorzewski et al. eds.), Physica Verlag, New York, pages 105-115.
- Lendelova, K. - Petrovicova, J.: Representation of IF-probability on MV-algebras. (Submitted to Soft Computing)
- K. Lendelova - B. Riecan (2004). Weak law of large numbers for IF-events. In Current Issues in Data and Knowledge Engineering (Bernard De Baets et al. eds.), EXIT, Warszawa, pages 309-314.
- J. Petrovicova, B. Riecan (in press). On the central limit theorem on IFS-events. In Soft Computing.
- B. Riecan (2004). Representation of Probabilities on IFS Events. In Soft Methodology and Random Information Systems (Lopez-Diaz et al. eds.), Springer, Berlin Heidelberg New York, pages 243-248.
- B. Riecan (2003). A descriptive definition of the probability on intuitionistic fuzzy sets. In EUSFLAT '2003 (M. Wagenecht, R. Hampet eds.), Zittau-Goerlitz Univ. Appl. Sci., pages 263-266.
- Riecan, B.: On the problem of Radko Mesiar. (Submitted to Fuzzy Sets and Systems).
- B. Riecan - D. Mundici (2002). Probability in MV-algebras. In Handbook of Measure Theory (E. Pap ed.), Elsevier, Amsterdam, pages 869-909.
- B. Riecan - T. Neubrunn (1997). Integral, Measure, and Ordering. Kluwer, Dordrecht and Ister Science, Bratislava.
- L. A. Zadeh (1968). Probability measures of fuzzy events. In J. Math. Anal. Appl, volume 23, pages 421-427.
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Citations:
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