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Remarks on the Classical Probability of Bifuzzy Events

Tadeusz Gerstenkorn and Jacek Mańko

p. 190-196

    Abstract

    The present paper discusses the conception of the cardinality of a bifuzzy set in two versions - as a real number and as a bifuzzy set. The notions introduced here serve one to calculate the probability of a bifuzzy event defined in a finite space of elementary events and are a generalization of Laplace's approach in the Kolmogorov probability calculus. The paper refers to works of Gerstenkorn and Manko (1998) and Mańko (1998) and Mańko (1992) and is illustrated by an example.

    Index

    Keywords

    bifuzzy set, intuitionistic fuzzy set, (αˌβ)-level of bifuzzy set, extension principle, probability of bifuzzy events, bifuzzy probability, cardinality of set, cardinality of a bifuzzy set

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    References

    Bibliographical reference

    Tadeusz Gerstenkorn and Jacek Mańko, « Remarks on the Classical Probability of Bifuzzy Events », CASYS, 8 | 2001, 190-196.

    Electronic reference

    Tadeusz Gerstenkorn and Jacek Mańko, « Remarks on the Classical Probability of Bifuzzy Events », CASYS [Online], 8 | 2001, Online since 07 October 2024, connection on 10 January 2025. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=1358

    Authors

    Tadeusz Gerstenkorn

    Łódź University, Faculty of Mathematics, ul. S. Banacha 22, Pl 90-238 Łódź,Poland

    By this author

    Jacek Mańko

    Łódź University, Faculty of Mathematics, ul. S. Banacha 22, Pl 90-238 Łódź,Poland

    By this author

    Copyright

    CC BY-SA 4.0 Deed