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...

In operations research one often faces scenarios and phenomena exhibiting imprecision and uncertainty. Stochastic aspects of these scenarios are often accounted for by means of probabilistic models. In addition to these models, fuzzy augmentation to traditional decision analysis has been advocated as a possible method that takes into account imprecision in quantities available to the decision m...

Fuzzy control techniques are of interest for practical applications. Hence, it is important to understand their features. In this paper some results of computer-experimental analysis of behavior of a fuzzy controller for the cart-ball variant of inverted pendulum system are given. The impacts of changes in uncertainty in the controller are analyzed experimentally: it has been found that the per...

In this paper, fuzzy initial value problems for modelling aspects of uncertainty in dynam­ ical systems are introduced and interpreted from a probabilistic point ofview. Due to the uncertainty incorporated in the model, the behavior of dynamical systems modelIed in this way will generally not be unique. Rather, we obtain a large set of trajectories which are more or less compatible with the des...

Landslide databases and input parameters used for modeling landslide hazard often contain imprecisions and uncertainties inherent in the decision-making process. Dealing with imprecision and uncertainty requires techniques that go beyond classical logic. In this paper, methods of fuzzy k -means classification were used to assign digital terrain attributes to continuous landform classes whereas ...

uncertainty inherent in the financial market was usually consid- ered to be random. however, randomness is only one special type of uncer- tainty and appropriate when describing objective information. for describing subjective information it is preferred to assume that uncertainty is fuzzy. this paper defines the expected payoof trading strategies in a fuzzy financial market within the framewor...

The finite element method is widely used for solving various problems in geotechnical engineering practice. The input parameters required for the calculations are generally imprecise. The paper is devoted to a comparison of probabilistic, stochastic and fuzzy set method for reliability analysis with respect to its applicability for practical problems in geotechnical engineering. Emphasis will b...

fuzzy control systems have had various applications in a wide range of science and engineering in recent years. since an unstable control system is typically useless and potentially dangerous, stability is the most important requirement for any control system (including fuzzy control system). conceptually, there are two types of stability for control systems: lyapunov stability (a special case ...

The vague notion of "probabilistic patents" is formalized through a model which combines real option theory and a fuzzy methodology. The imprecise estimates the patent holder possesses about her future profits, the validity and scope of the patent, the litigation costs, the court's decision etc. under a regime of imperfect enforcement of property rights are specified modelling uncertainty with ...

The probabilistic fuzzy set (PFS) and the related probabilistic fuzzy logic system (PFLS) is designed for handling the uncertainties in both stochastic and nonstochastic nature. In this paper, a bell-shaped probabilistic fuzzy set is proposed and the related PFLS is constructed and applied to a modeling problem to study stochastic modeling capability. It clearly discloses that the bell-shaped P...