The TOPSIS process is one of the most comprehensive systems designed for decision making with multiple criteria, since this technique enables formulation of the problem as decision matrix, as well as the possibility of considering different quantitative and qualitative criteria in the problem. Fuzzy TOPSIS methods have been introduced to make fundamental decisions that make decisions decisions ...

We give a proof of the cobordism invariance of the index of elliptic pseudodifferential operators on σ-compact manifolds, where, in the non-compact case, the operators are assumed to be multiplication outside a compact set. We show that, if the principal symbol class of such an elliptic operator on the boundary of a manifold X has a suitable extension to K1(TX), then its index is zero. This con...

ABSTRACT. In this paper, using the group-like property of local inverses of a finite Blaschke product φ, we will show that the largest C-algebra in the commutant of the multiplication operator Mφ by φ on the Bergman space is finite dimensional, and its dimension equals the number of connected components of the Riemann surface of φ ◦ φ over the unit disk. If the order of the Blaschke product φ i...

ture formulae on bounded convex regions in the plane. The construction is based on the behavior of spectra of certain multiplication operators and leads to nodes which are inside a prescribed convex region in R. The resulting interpolation schemes are numerically stable and the quadrature formulae have positive weights and almost (but not quite) optimal numbers of nodes. The performance of the ...

We investigate the complexity of the tree share model of Dockins et al., which is used to reason about shared ownership of resources in concurrent programs. We obtain the precise Berman complexity for the first-order theory of the Boolean algebra of tree shares with constants, which is STA(∗, 2 O(1) , n)-complete. For the first-order theory over the “relativization” multiplication operator on t...

In this paper we present a method for the application of Convolutional Neural Network (CNN) operators for use in domains which exhibit irregular spatial geometry by use of the spectral domain of a graph Laplacian, Figure 1. This allows learning of localized features in irregular domains by defining neighborhood relationships as edge weights between vertices in graph G. By formulating the domain...

It is shown that any convolution operator in the time domain can be represented exactly as a multiplication operator in the time-scale (wavelet) domain. The Mellin transform gives a one-to-one correspondence between frequency filters (system functions) and scale filters (multiplication operators in the scale domain), subject to the convergence of the defining integrals. The usual wavelet recons...