The Properties Related to the Moment Generating Function of the Fuzzy Variable

Sheng Ma

doi:10.4028/www.scientific.net/AMM.519-520.863

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 519-520The Properties Related to the Moment Generating...

The Properties Related to the Moment Generating Function of the Fuzzy Variable

Abstract:

In the paper, some properties related to the moment generating function of a fuzzy variable are discussed based on uncertainty theory. And we obtain the result that the convergence of moment generating functions to an moment generating function implies convergence of credibility distribution functions. Thats, the moment generating function characterizes a credibility distribution.

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Periodical:

Applied Mechanics and Materials (Volumes 519-520)

Pages:

863-866

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.519-520.863

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Online since:

February 2014

Authors:

Sheng Ma

Keywords:

Characteristic Function, Credibility Distribution, Fuzzy Variable, Moment Generating Function

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References

[1] Zadeh L.A. Fuzzy sets. Information and Control, Vol. 8, 338-353, (1965).

Google Scholar

[2] Dubois D, Prade H. Possibility Theory: An Approach to Computerized Processing of Uncertainty. Plenum Press, New York, (1988).

Google Scholar

[3] Kaufmann A. Introduction to the Theory of Fuzzy Subsets. Academic Press, New York, (1975).

Google Scholar

[4] Liu B. Uncertainty Theory: An Introduction to its axiomatic Foundations. Springer-Verlag, Heidelberg, (2004).

Google Scholar

[5] Liu, B. A survey of credibility theory. Fuzzy Optimization and Decision Making 5(2006) 1-19.

Google Scholar

[6] Liu B., Liu Y. K. Expected value of fuzzy variable and fuzzy expected value model. IEEE Transactions on Fuzzy Systems, Vol. 10, No. 4, 445-450, (2002).

DOI: 10.1109/tfuzz.2002.800692

Google Scholar

[7] Peng,J., Liu, B. Some properties of optimistic and pessimistic values of fuzzy variables. Proceedings of the Tenth IEEE International Conference on Fuzzy Systems 2 (2004) 292-295.

DOI: 10.1109/fuzzy.2004.1375493

Google Scholar

[8] Lee E.S., Li R.J. Comparison of fuzzy numbers based on the probability measure of fuzzy events. Computer and Mathematics with Applications 15(1988)887-896.

DOI: 10.1016/0898-1221(88)90124-1

Google Scholar

[9] Liou T.S., Wang M.J. Ranking fuzzy numbers with integral value. Fuzzy Sets and Systems 50(1992)247-255.

DOI: 10.1016/0165-0114(92)90223-q

Google Scholar

[10] J. Peng, Q. Jiang, C. Rao. Fuzzy Dominance: A new approach for ranking fuzzy variable using inverse credibility distributions. International Journal of Uncertainty, Fuzziness and Knowledge- Based Systems. Vol, 15, (2007), 29 –41.

DOI: 10.1142/s0218488507004583

Google Scholar

[11] Q. Jiang, Some Remarks on Charactertics Function and Density Function of Uncertain Variable. The 2011 International Symposium on Intelligence Information Processing and Trusted Computing , 2011, Vol 1, 801-804.

DOI: 10.1109/iptc.2011.36

Google Scholar

[12] Nahmias S. Fuzzy variables. Fuzzy Sets and Systems, Vol. 1, 97-100, (1978).

Google Scholar