Properties of Reflected Liu Process at the Origin

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Abstract:

Liu process is a special fuzzy process which plays an important role in the theory of fuzzy differential equations. This paper proposes the concept of reflected Liu process at the origin. Then some properties of this type of Liu process are deduced.

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421-424

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September 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] W. Dai: Reflection principle of Liu process, http: /orsc. edu. cn/process /071110. pdf.

Google Scholar

[2] J. Gao: Credibiltistic option pricing: A new model, http: /orsc. edu. cn/process /071124. pdf.

Google Scholar

[3] B. Liu and Y. K. Liu: Expected value of fuzzy variable and fuzzy expected value models, IEEE Transactions on Fuzzy Systems, Vol. 10 (2002), pp.445-450.

DOI: 10.1109/tfuzz.2002.800692

Google Scholar

[4] B. Liu: Fuzzy process, hybrid process and uncertain process, Journal of Uncertain Systems, Vol. 2, No. 1(2008), pp.3-16.

Google Scholar

[5] J. Peng: A general stock model for fuzzy markets, Journal of uncertain systems, Vol. 2, No. 4 (2008), pp.248-254.

Google Scholar

[6] Z. Qin: On analytic functions of complex Liu process, http: /orsc. edu. cn/process /071026. pdf.

Google Scholar

[7] Z. Qin, and X. Li: Option pricing formula for fuzzy financial market, Journal of Uncertain Systems, Vol. 2, No. 1 ( 2008), pp.17-21.

Google Scholar

[8] C. You, and G. Wang: Properties of a new kind of fuzzy integral, Journal of Hebei University (Natural Science Edition), Vol. 31, No. 4(2011), pp.337-340.

Google Scholar

[9] C. You, H. Huo and W. Wang: Multi-dimensional Liu process, differential and integral, Journal of East Asian Mathematical, Vol. 29, No. 1 (2013), pp.13-22.

DOI: 10.7858/eamj.2013.002

Google Scholar

[10] Y. Zhu: Fuzzy optimal control with application to portfolio selection, http: /orsc. edu. cn/process /080117. pdf.

Google Scholar