• RANDOM SET BASED UNCERTAINTY EVALUATION OF HAZARD INDEX THROUGH INGESTION OF TOXIC CHEMICALS

Abstract

Monitoring of concentration level of uranium in groundwater provides the basic knowledge of the activity of the uranium in groundwater. Quantification of the hazard index due to ingestion of uranium through drinking of ground water will facilitate the health impact of the uranium. Model representing the computation of this hazard index contain parameters which are uncertain due to their insufficient information and hence uncertainty analysis of the hazard index necessitates. Monte Carlo simulation is generally applied to compute the uncertainty .Monte Carlo simulation requires large amount of realizations of parameter uncertainty which are addressed by their respective probability density function. Insufficient information of the parameter does not allow to characterize their proper probability distribution. In this paper, probability distribution of the uncertain parameter with insufficient information has been achieved. The computational methodology has been devised to generate the probability density function of the uncertain parameter using imprecise probability. Random set theory along with vertex method have been implemented to evaluate the target uncertainty. In this context, the present paper describes the random set theory and its application for uncertainty analysis of hazard index.