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Uncertainty Analysis Using Fuzzy Random Set Theory

Uncertainty Analysis Using Fuzzy Random Set Theory

Debabrata Datta
Copyright: © 2016 |Pages: 35
ISBN13: 9781466697980|ISBN10: 1466697989|EISBN13: 9781466697997
DOI: 10.4018/978-1-4666-9798-0.ch019
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MLA

Datta, Debabrata. "Uncertainty Analysis Using Fuzzy Random Set Theory." Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing, edited by Sunil Jacob John, IGI Global, 2016, pp. 384-418. https://doi.org/10.4018/978-1-4666-9798-0.ch019

APA

Datta, D. (2016). Uncertainty Analysis Using Fuzzy Random Set Theory. In S. John (Ed.), Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing (pp. 384-418). IGI Global. https://doi.org/10.4018/978-1-4666-9798-0.ch019

Chicago

Datta, Debabrata. "Uncertainty Analysis Using Fuzzy Random Set Theory." In Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing, edited by Sunil Jacob John, 384-418. Hershey, PA: IGI Global, 2016. https://doi.org/10.4018/978-1-4666-9798-0.ch019

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Abstract

Uncertainty analysis of any physical model is always an essential task from the point of decision making analysis. Two kinds of uncertainties exist: (1) aleatory uncertainty which is due to randomness of the parameters of models of interest and (2) the epistemic uncertainty which is due to fuzziness of the parameters of the same models. So far both these uncertainties are addressed independently; however since in any practical problem both the types of uncertain variables present, it is required to address them jointly. In order to solve practical problems on uncertainty modeling, it is required to replace the abstract definition of hybrid set by fuzzy random set. Since uncertainty modeling using fuzzy random set has not been carried out so far, the present chapter will address the utility of fuzzy random set for uncertainty modeling on geotechnical and hydrological applications. This chapter will present the fundamentals of fuzzy random set and their application in uncertainty analysis.

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