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Part of the book series: Advances in Soft Computing ((AINSC,volume 37))

Abstract

The aim of this paper is to define the product operation on the family of IF-events and the notion of joint IF-observable. We formulate the version of conditional IFprobability on IF-events, too.

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References

  1. K. Atanassov (1999). Intuitionistic Fuzzy sets : Theory and Applications. In Physica Verlag, New York.

    MATH  Google Scholar 

  2. A. Dvurčcenskij - S. Pulmannová (2000). New Trends in Quantum Structures. In Kluwer, Dordrecht.

    Google Scholar 

  3. P. Grzegorzewski - E. Mrówka (2002). Probability of intuistionistic fuzzy events. In Soft Metods in Probability, Statistics and Data Analysis(P. Grzegorzewski et al. eds.), Physica Verlag, New York, 105–115.

    Google Scholar 

  4. K. Lendelová (2005). IF-probability on MV-algebras. In Notes on Intuitionistic Fuzzy Sets, Vol. 11, Number 3, 66–72.

    Google Scholar 

  5. K. Lendelová. Convergence of IF-observables. (submitted to Proceeding of IWIFSGN’ 2005, Warszawa)

    Google Scholar 

  6. K. Lendelová. Strong law of large numbers for IF-events. (accepted in Proceeding of IPMU’2006)

    Google Scholar 

  7. K. Lendelová - J. Petrovičová (2005). Representation of IF-probability on MValgebras. In Soft Computing –A Fusion of Foundation, Methodologies and Applications, Springer-Verlag (Online).

    Google Scholar 

  8. K. Lendelová - B. Riečan (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, 309–314.

    Google Scholar 

  9. J. Petrovičová - B. Riečan (2005). On the central limit theorem on IFS-events. In Mathware Soft Computing 12, 5–14.

    MathSciNet  Google Scholar 

  10. P. Pták - S. Pulmannová (1991). Orthomodular Structures as Quantum Logics. In Kluwer Acad. Publ., Dordrecht.

    MATH  Google Scholar 

  11. B. Riečan (2003). A descriptive definition of the probability on intuitionistic fuzzy sets. In EUSFLAT ’2003 (M. Wagenecht, R. Hampet eds.), Zittau-Goerlitz Univ. Appl. Sci., 263–266.

    Google Scholar 

  12. B. Riečan (2004). Representation of Probabilities on IFS Events. In Soft Methodology and Random Information Systems (López-Diáz et al. eds.), Springer, Berlin Heidelberg New York, 243–248.

    Google Scholar 

  13. B. RieÄŤan. On the probability and random variables on IF events. In Applied Artifical Inteligence. World Scientfic 2006 (accepted)

    Google Scholar 

  14. B. Riečan - D. Mundici (2002). Probability in MV-algebras. In Handbook of Measure Theory (E. Pap ed.), Elsevier, Amsterdam, pages 869–909.

    Google Scholar 

  15. B. RieÄŤan - T. Neubrunn (1997). Integral, Measure, and Ordering. In Kluwer Academic Publishers, Dordrecht and Ister Science, Bratislava.

    Google Scholar 

  16. M. Vrábelová (2000). On the conditional probability in product MV-algebras. In Soft Comput. 4, 58–61.

    Article  MATH  Google Scholar 

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Lendelová, K. (2006). Conditional IF-probability. In: Lawry, J., et al. Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34777-1_33

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  • DOI: https://doi.org/10.1007/3-540-34777-1_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34776-7

  • Online ISBN: 978-3-540-34777-4

  • eBook Packages: EngineeringEngineering (R0)

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