In this article, we propose a dual set membership filter for nonlinear dynamic systems with additive unknown but bounded noises, and it has three distinct advantages. First, the system is translated into linear by leveraging semi-infinite programming, rather than linearizing function. The programming to find an ellipsoid bounding transformation of ellipsoid, which aims compute tight cover state...

Many science and engineering applications feature non-convex optimization problems where the objective function can not be handled analytically, i.e. it is a black box. Examples include design via experiments, or costly finite elements simulations. To solve these problems, global routines are used. These iterative techniques must trade-off exploitation close to current best point with explorati...

The present study considers a fuzzy color system in which triangular pyramid-like membership functions are constructed on the RGB color triangle. This system can process a fuzzy input to an RGB system and output the center of gravity of three weights associated with respective grades. Triangular pyramid-like membership functions are applied to the RGB color triangle relationship. By treating th...

In many practical situations, we only know the bounds on the distances. A natural question is: knowing these bounds, can we check whether there exists a metric whose distance always lie within these bounds – or such a metric is not possible and thus, the bounds are inconsistent. In this paper, we provide an answer to this question. We also describe possible applications of this result to a desc...

The original aim of this research was the introduction of a compositive measure of information (see e.g. [5]) on a class (an algebra) of fuzzy subsets of an universe f2. However, there is a bijection between the class of compositive informations and the class of decomposable measures (see e.g. [2]). Therefore, we restated our problem as the one of the construction of a decomposable measure over...

In symbolic data analysis, high granularity of information may lead to rules based on a few cases only for which there is no evidence that they are not due to random choice, and thus have a doubtful validity. We suggest a simple way to improve the statistical strength of rules obtained by rough set data analysis by identifying attribute values and investigating the resulting information system....