Einstein product and Einstein sum are good alternatives to the algebraic product and algebraic sum, respectively. Nevertheless, it seems that in the literature there is little investigation on aggregation techniques using the Einstein operations on IFS for aggregating a collection of intuitionistic fuzzy value (IFV). The induced ordered weighted averaging operator is more suitable for aggregati...

Consider a one-dimensional Schrr odinger operator with potential V given as follows: Fix a single site potential f which is supported in an interval of length less than 1. Construct V by placing a translate of f into each unit interval n; n + 1] for integer n, where otherwise the positions of each translate are arbitrary. Which connguration of single sites minimizes the spectral minimum of the ...

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Let 7(S) denote the reduced minimum modulus of a linear operator S acting in a complex Banach space X, and let / denote the identity on X. In this paper it is shown that for a (not necessarily bounded) Fredholm operator T acting in X, the limit lim y^fy/rt exists and is equal to the supremum of all positive numbers S such that the dimension of the null space and the codimension of the range of ...

Ab8tmctWe examine the representation of signals by the Wavelet 'lhansform Modulus Maxima together with the alternating projection reconstruction algorithm proposed by Mallat. We show that the projection algorithm of Mallat is not minimum distance and not necessarily nonexpansive. Convergence is therefore not guaranteed. We describe an alternative projection operator which is minimum distance an...

We develop the fuzzy generalized ordered weighted averaging distance (FGOWAD) operator. It is a new aggregation operator that uses the main characteristics of the generalized OWA (GOWA), the ordered weighted averaging distance (OWAD) and uncertain information represented as fuzzy numbers. This operator includes a wide range of distance measures and aggregation operators such as the fuzzy maximu...

LetˆH be an-admissible pseudodifferential operator whose principal symbol, H, has a unique non-degenerate global minimum. We give a simple proof that the semi-classical asymptotics of the eigenvalues ofˆH corresponding to the " bottom of the well " determine the Birkhoff normal form of H at the minimum. We treat both the resonant and the non-resonant cases.