Global sensitivity analysis is an important tool for uncertainty analysis of systems with uncertain model parameters. A general framework for the determination of sensitivity measures for fuzzy uncertainty analysis is presented. The derivation is founded on the high-dimensional model representation, which provides a common basis with Sobol indices, illustrating the similarities and di erences o...

Abstract. The present study focuses on identifying the parameters from Weather Research and Forecasting (WRF) model that strongly influence simulation of tropical cyclones over Bay Bengal (BoB) region. Three global sensitivity analysis (SA) methods, namely, Morris One-at-A-Time (MOAT), multivariate adaptive regression splines (MARS), surrogate-based Sobol', are employed to identify most sensiti...

This paper introduces generalized Sobol’ indices, compares strategies for their estimation, and makes a systematic search for efficient estimators. Of particular interest are contrasts, sums of squares and indices of bilinear form which allow a reduced number of function evaluations compared to alternatives. The bilinear framework includes some efficient estimators from Saltelli (2002) and Maun...

In this paper, the connection between Menger probabilistic norms and H"{o}hle probabilistic norms is discussed. In addition, the correspondence between probabilistic norms and Wu-Fang fuzzy (semi-) norms is established. It is shown that a probabilistic norm (with triangular norm $min$) can generate a Wu-Fang fuzzy semi-norm and conversely, a Wu-Fang fuzzy norm can generate a probabilistic norm.

The presence of uncertainties are inevitable in engineering design and analysis, where failure in understanding their effects might lead to the structural or functional failure of the systems. The role of global sensitivity analysis in this aspect is to quantify and rank the effects of input random variables and their combinations to the variance of the random output. In problems where the use ...

Quasi-Monte Carlo (QMC) methods have been successfully used to compute high-dimensional integrals arising in many applications, especially in finance. To understand this success and the possible potential limitations of QMC, this paper focuses on quantitative measures of the quality of a point set in high dimensions. We introduce the order-`, superposition and truncation discrepancies, which me...

Potential assessment has served various objectives in the development of renewable energies. However, the prospective nature of this type of assessment sometimes makes it difficult to evaluate and compare estimation results based on different data and modeling. To facilitate this comparison, uncertainty estimates need to be systematically provided. Since potential assessment sometimes relies on...

The sensitivity analysis of atomic force microscope (AFM) based manipulation of gold spherical nanoparticles in air medium has been carried out in previous research works. In the AFM-based manipulations conducted in various biological liquid mediums, the new environmental parameters associated with these biological fluids also affect the dynamics of the manipulation process. Therefore in this r...