In many situations, in all branches of physics, one encounters the power-like behavior of some variables, which is best described by a Tsallis distribution characterized by a nonextensivity parameter q and scale parameter T . However, there exist experimental results that can be described only by a Tsallis distributions, which are additionally decorated by some log-periodic oscillating factor. ...

Locally optimum detectors for weak random signals are derived for a generalized observation model incorporating signal-dependent and multiplicative noise. It is shown that the locally optimum random-signal detectors in the generalized observation model are interesting generalizations of those that would be obtained in the purely additive noisy signal model. Examples of explicit results for the ...

We introduce two drift-diagonally-implicit and derivative-free integrators for stiff systems of Itô stochastic differential equations with general non-commutative noise which have weak order 2 and deterministic order 2, 3, respectively. The methods are shown to be mean-square A-stable for the usual complex scalar linear test problem with multiplicative noise and improve significantly the stabil...

A two-stage logarithmic goal programming (TLGP) method is proposed to generate weights from interval comparison matrices, which can be either consistent or inconsistent. The first stage is devised to minimize the inconsistency of interval comparison matrices and the second stage is developed to generate priorities under the condition of minimal inconsistency. The weights are assumed to be multi...

This paper explains a region-division-linearization algorithm for solving class of generalized linear multiplicative programs (GLMPs) with positive exponent. In this algorithm, the original nonconvex problem GLMP is transformed into series programming problems by dividing outer space finite polynomial rectangles. A new two-stage acceleration technique put in place to improve computational effic...

We prove the validity of an averaging principle for a class of systems of slow-fast reaction-diffusion equations with the reaction terms in both equations having polynomial growth, perturbed by a noise of multiplicative type. The models we have in mind are the stochastic Fitzhugh– Nagumo equation arising in neurophysiology and the Ginzburg–Landau equation arising in statistical mechanics.

Logic programming languages based on fragments of intuitionistic logic have recently been developed and studied by several researchers. In such languages, implications are permitted in goals and in the bodies of clauses. Attempting to prove a goal of the form D G in a context ? leads to an attempt to prove the goal G in the extended context ? fDg. While an intuition-istic notion of context has ...

In this paper, for evaluating the efficiency in a three-stage DEA structure we use additive and multiplicative cooperative models that comply with cooperation paradigm organizations, where improving of system, stages cooperate together. Since overall from may not be unique consequently stages’ efficiencies, then combine them Nash bargaining game approach besides maximizing scores whole provides...