With the aim of object tracking in video sequences, we suggest to estimate both the parameters (dynamics, shape) and the state (position), by a sequential Monte-Carlo method, the particle filter. We then model spatial information characterized by a small number of classes by fuzzy sets, which can be fixed or learned. For instance, an information of direction is modeled by four fuzzy sets repres...

Abstract. Many ranking methods have been proposed so far. However, there is not a method that can always give a satisfactory solution to every situation; some method are counterintuitive, others methods give different rankings solutions for the same conditions, this is not the case of Liou and Wang method, however, this method can give the same ranking for different fuzzy number, so that, we pr...

The new concept of a Z – number has been recently introduced in decision making analysis. This concept is capable of effectively dealing with uncertainty in information about a decision. As this concept is relatively new in fuzzy sets, its underlying theoretical aspects have not been established yet. In this paper, a multi-layer methodology for ranking Z – numbers is proposed for the first time...

In this paper, we prove a fuzzy Korovkin-type approximation theorem for fuzzy positive linear operators by using A-statistical convergence for four-dimensional summability matrices. Also we obtain rates of A-statistical convergence of a double sequence of fuzzy positive linear operators for fourdimensional summability matrices. 1. Introduction Anastassiou [3] …rst introduced the fuzzy analogue ...

In standard arithmetic, if we, e.g., accidentally add a wrong number y to the preliminary result x, we can undo this operation by subtracting y from the result x+ y. In this paper, we prove the following two results: • First, a similar possibility to invert (undo) addition holds for fuzzy numbers (although in case of fuzzy numbers, we cannot simply undo addition by subtracting y from the sum). ...