in most of the multi–criteria decision–analysis (mcda) problems in which the choquet integral is used as aggregation function, the coefficients of choquet integral (capacity) are not known in advance. actually, they could be calculated by capacity definition methods. in these methods, the preference information of decision maker (dm) is used to constitute a possible solution space. the methods ...

In this paper performance limits of optical OFDM transmission systems are investigated. The maximum achievable spectral efficiency is limited by additive noise of optical amplifiers and non-linear fiber effects. In order to assess this measure, a “weakly nonlinear” system model is used. For a given transmission scenario, there is a minimum power of signal distortion at a specific optical launch...

We establish an information-theoretic approach for quantitatively characterizing the non-Markovianity of open quantum processes. Here, the quantum Fisher information (QFI) flow provides a measure to statistically distinguish Markovian and non-Markovian processes. A basic relation between the QFI flow and non-Markovianity is unveiled for quantum dynamics of open systems. For a class of time-loca...

We propose a new similarity measure for iconic medical image registration, an Edgeworth-based third order approximation of Mutual Information (MI) and named 3-EMI. Contrary to classical Edgeworth-based MI approximations, such as those proposed for independent component analysis, the 3-EMI measure is able to deal with potentially correlated variables. The performance of 3-EMI is then evaluated a...

The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers. In this paper, we exhibit the superstability of $m$-additive maps on complete non--Archimedean spaces via a fixed point method raised by Diaz and Margolis.

This paper develops slacks-based measure (SBM) and additive SBM (ASBM) to evaluate efficiency of decision making units (DMUs) in a two-stage structure with undesirable outputs and feedback variables from the internal perspective. The SBM model is linearized  for a specific weight and the ASBM model is reformulated as a second order cone program. The target values for all inputs, outputs (both d...

This paper addresses the problem of signal characterization in terms of sinusoidal and non-sinusoidal components. A first measure of sinusoidality is reviewed. Drawbacks of this sinusoidal estimator are investigated and solutions proposed. Estimation of sinusoidality on non-stationary signal is then made on a pre-processed signal. A phase derived sinusoidality measure and the use of Re-estimate...

This paper extends the Choquet integral, widely used in multi-attribute decision problems, to the non monotone case in the context of Group Decision Theory. Even if not so often, preference structures which violate the monotonicity axiom can be observed in real applications. Our aim is twofold. First, we propose the Choquet integral with non monotone non additive measure. Then, we apply the Cho...