In this paper, by presenting some notions and theorems, we obtaindifferent types of fuzzy topologies. In fact, we obtain someLowen-type  and Chang-type fuzzy topologies on general fuzzyautomata. To this end, first we define a Kuratowski fuzzy interioroperator which induces a  Lowen-type  fuzzy topology on the  set ofstates of a max- min general   fuzzy automaton. Also by  provingsome theorems, ...

Abstract We develop a general framework for construction and analysis of discrete extension operators with application to unfitted finite element approximation partial differential equations. In methods so called cut elements intersected by the boundary occur these must in stabilized some way. Discrete provides such stabilization modification space close boundary. More, precisely is extended fr...

The baker map is investigated by two different theories of irreversibility by Prigogine and his colleagues, namely, the Λ-transformation and complex spectral theories, and their structures are compared. In both theories, the evolution operatorU† of observables (the Koopman operator) is found to acquire dissipativity by restricting observables to an appropriate subspaceΦ of the Hilbert space L2 ...

Efficient solution of the Navier-Stokes equations in complex domains is dependent upon the availability of fast solvers for sparse linear systems. For unsteady incompressible flows, the pressure operator is the leading contributor to stiffness, as the characteristic propagation speed is infinite. In the context of operator splitting formulations, it is the pressure solve which is the most compu...

Two-sided sharp Green function estimates are obtained for second order uniformly elliptic operators in non-divergence form with Dini continuous coefficients bounded C1,1 domains, which shown to be comparable that of the Dirichlet Laplace operator domain. The first and derivative functions also derived. Moreover, boundary Harnack inequality an explicit decay rate interior Schauder’s these differ...

In this paper we study exact boundary controllability for a linear wave equation with strong and weak interior degeneration of the coefficient in principle part elliptic operator. The objective is to provide well-posedness analysis corresponding system derive conditions its through actions. Passing relaxed version original problem, discuss existence uniqueness solutions, using HUM method on rat...

We discuss the notion of noncommutative point derivations for operator algebras. We look at the noncommutative point derivations for the quiver algebras, A(Cn) where Cn is the directed graph with n-vertices and n-edges forming a cycle. For the algebras Mn ⊗ A(D) and A(Cn) we classify when non-trivial point derivations can occur. We use the point derivations to show that every derivation on A(Cn...

this paper presents characterizations of m-fuzzifying matroids bymeans of two kinds of fuzzy operators, called m-fuzzifying derived operatorsand m-fuzzifying difference derived operators.

Ocean models usually rely on a tracer mixing operator which diffuses along isoneutral directions. This requirement is imposed by the highly adiabatic nature of the oceanic interior, and a numerical simulation needs to respect these small levels of dianeutral mixing to maintain physically realistic results. For non-isopycnic models this is however non-trivial due to the non-alignment of the vert...

We examine the problem of extending, in a natural way, order-preserving maps that are de ̄ned on the interior of a closed cone K1 (taking values in another closed cone K2 ) to the whole of K1 . We give conditions, in considerable generality (for cones in both ̄niteand in ̄nite-dimensional spaces), under which a natural extension exists and is continuous. We also give weaker conditions under which ...