Variational data assimilation is performed using either a T40 18 layer version of the National Meteorological Center spectral model or a limited-area shallow-water equations model, with operationally analyzed fields as well as simulated datasets. Issues of incomplete observations, control of gravitational oscillations, and inclusion of “on-off” physical processes are addressed in the framework ...

in this paper‎, ‎first we propose a new method to approximate the solution of two-dimensional linear fuzzy fredholm integral equations of the second kind based on the fuzzy wavelet like operator‎. ‎then‎, ‎we discuss and investigate the convergence and error analysis of the proposed method‎. ‎finally‎, ‎to show the accuracy of the proposed method‎, ‎we present two numerical ‎examples.‎

We consider a multiparameter discrete inclusion and we prove that the reachable set of a certain variational multiparameter discrete inclusion is a derived cone in the sense of Hestenes to the reachable set of the discrete inclusion. This result allows to obtain sufficient conditions for local controllability along a reference trajectory and a new proof of the minimum principle for an optimizat...

In this paper, we propose some new concepts for the sequence of fuzzy-number-valued functions by using notion inner small variation. Then, study characteristics primitives strong fuzzy variational Henstock integrals defined in m-dimensional Euclidean space these concepts. Finally, obtain convergence theorems integrals.

This paper deals with database fuzzy queries in the context where the fuzzy preference conditions involved are of a bipolar nature (the first pole corresponding to a constraint, the second to a wish). More precisely, we consider queries where an inclusion-based condition comes into play (a typical example being a division query). Due to the fact that bipolar fuzzy queries entail using a framewo...