The solid transportation problem is an important extension of the traditional transportation problem. Solid transportation problem with uncertain variables as its parameters is called uncertain solid transportation problem. In this paper, the expected-constrained programming for an uncertain solid transportation problem is given based on uncertainty theory. According to inverse uncertainty dist...

Uncertain variables are used to describe the phenomenon where uncertainty appears in a complex system. For modeling the multi-objective decision-making problems with uncertain parameters, a class of uncertain optimization is suggested for the decision systems in Liu and Chen (2013), http://orsc.edu.cn/online/131020 which is called the uncertain multi-objective programming. In order to solve the...

Many real time processes have complex, uncertain and nonlinear dynamics. Boilers are nonlinear, time varying, multi-input multi-output (MIMO) systems, whose states generally vary with operating conditions. The major problem in controlling that system is that its drum water pressure and steam flow dynamics include an integrator that results a critically stable behavior. Conventional controller p...

This paper uses a non-probabilistic Fuzzy Finite Element Method (FFEM) for the analysis of the dynamic behaviour of structures with uncertain parameters. In two case studies, the concepts of the interval and the fuzzy finite element frequency response function analysis are illustrated for different types of uncertainties, for undamped as well as for damped structures. The comparison of the obta...

This paper is dealing with the robust stability of an uncertain three dimensional (3-D) system using existence MATLAB convex hull functions. Hence, the uncertain model of plant will be simulated by INTLAB Toolbox; furthermore, the root loci of the characteristic polynomials of the convex hull are obtained to judge whether the uncertain system is stable or not. A design third order example for u...

We introduce a controllability notion for uncertain systems, namely, quadratic controllability. For a specific class of norm bounded uncertain systems, we show that this notion is equivalent to controllability of a nominal system and the satisfaction of a certain structural condition by the uncertainty. For systems in which the uncertain parameters affect all control inputs, this structural con...

A joint chance constrained optimization problem involves multiple uncertain constraints, i.e., constraints with stochastic parameters, that are jointly required to be satisfied with probability exceeding a prespecified threshold. In a distributionally robust joint chance constrained optimization problem (DRCCP), the joint chance constraint is required to hold for all probability distributions o...

Local and global sensitivity and uncertainty methods are applied to a box model of the dimethylsulfide (DMS) oxidation cycle in the remote marine boundary layer in order to determine the key physical and chemical parameters and sources of uncertainty. The model considers 58 uncertain parameters, and simulates the diurnal gas-phase cycles of DMS, SO2, methanesulfonic acid (MSA), and H2SO4 for cl...

A general approach to the calculation of stability radius defined in the p norm for an uncertain system with uncertain parameters q entering nonlinearly into the characteristic polynomial is presented in this paper. The stability margin problem is transformed into a standard, computationally tractable non-linear constrained optimisation problem, for which a commercial software package has been ...