In this paper, the concept of intuitionistic fuzzy mapping as a generalization of fuzzy mapping is presented, and its' relationship with intuitionistic fuzzy relations is derived. Moreover, some basicoperations of intuitionistic fuzzy mappings are defined, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebrawith respect to these operations. Afterwards, the A...

We present a parametric model order reduction (PMOR) method applied to a parameter depending generalized state-space system, which describes the evolution of the temperature field on a vertical stand of a machine tool assembly group induced by a moving tool slide. The position of this slide parametrizes the input matrix of the associated system. The main idea is to compute projection matrices V...

To understand the long-run behavior of Markov population models, computation stationary distribution is often a crucial part. We propose truncation-based approximation that employs state-space lumping scheme, aggregating states in grid structure. The resulting approximate used to iteratively refine relevant and truncate irrelevant parts state-space. This way, algorithm learns well-justified fin...

The dual relationship between two n − 1 parameter families of quantum field theories based on extended complex numbers is investigated in two dimensions. The non-local conserved charges approach is used. The lowest rank affine Toda field theories are generated and identified as integrability submanifolds in parameter space. A truncation of the model leads to a conformal field theory in extended...

Multiresolution analysis for problems involving random parameter fields is considered. The random field is discretized by a Karhunen-Loève expansion. The eigenfunctions involved in this representation are computed by a wavelet expansion. The wavelet expansion allows to control the spatial resolution of the problem. Fine and coarse scales are defined, and the fine scales are taken into account b...

Myocardial perfusion SPECT is one of the most common imaging techniques performed in nuclear medicine departments. To avoid misleading interpretation, it is necessary to address the quality control and technical problems. The truncation artifact occurs when the patient size is large relative to the field of view of the camera, causing false perfusion defects in the LV myocardium, misinterpreted...

The matrix-oriented version of the conjugate gradient (CG) method can be used to approximate solution certain linear matrix equations. To limit memory consumption, low-rank reduction factored iterates is often employed, possibly leading disruption regular convergence behavior. We analyze properties in regime and identify quantities that are responsible for early termination, usually stagnation,...

Density functional theory (DFT) provides a formally exact framework for performing embedded subsystem electronic structure calculations, including DFT-in-DFT and wavefunction theory-in-DFT descriptions. In the interest of efficiency, it is desirable to truncate the atomic orbital basis set in which the subsystem calculation is performed, thus avoiding high-order scaling with respect to the size...

There is a growing appreciation for the network biology that regulates the coordinated expression of molecular and cellular markers however questions persist regarding the identifiability of these networks. Here we explore some of the issues relevant to recovering directed regulatory networks from time course data collected under experimental constraints typical of in vivo studies. NetSim simul...