The aim of this paper is to introduce the notion of fantastic deductive systems on generalizations of fuzzy structures, and to emphasize their role in the probability theory on these algebras. We give a characterization of commutative pseudo-BE algebras and we generalize an axiom system consisting of four identities to the case of commutative pseudo-BE algebras. We define the fantastic deductiv...

In this paper a countable family of new compactly supported non-Haar p-adic wavelet bases in L(Q p ) is constructed. We use the wavelet bases in the following applications: in the theory of p-adic pseudo-differential operators and equations. Namely, we study the connections between wavelet analysis and spectral analysis of p-adic pseudo-differential operators. A criterion for a multidimensional...

Based on a hierarchical modular modeling the large nonlinear systems of differential algebraic equations arising from industrial applications in electric circuit simulation or in dynamic process simulation of chemical plants can be structured into subsystems. Parallelized numerical methods for solving such systems are considered at the level of nonlinear and linear equations. Merging subsystems...