On some probability concepts in fuzzy framework

I. Tofan

Abstract


In this paper some modalities in which the concept of probability can be fuzzied are investigated in order to obtain new tools useful in the modelization of the risks. Some papers related to this approach are [1-6]. Finally, some open problems are proposed to the reader.


Keywords


probability, fuzzy set, fuzzy probability, fuzzy num- bers

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References


Bugajski, S., Fundamentals of fuzzy probability theory, Int. J. Theor. Phys., 35, 2229-2244, 1996.

Georgescu, G., Bosbach states on fuzzy structures, Soft computing, 8, 217-230, 2004.

Georgescu, G., Probabilistic models for intuitionistic predicate logic, Journal of logic and Computation Advances Access, 2010.

Gudder, S., Fuzzy probability theory, Demonstr. Math., 31, 235-254, 1998.

Gudder, S., What is fuzzy probability theory, Foundations of Physics, 30, 1663-1678, 2000.

Tofan, I., Some remarks about fuzzy numbers, International Journal of Risk Theory, vol. 1, 2011, p. 87-92.


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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.