‎in this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by zou [operator inequalities associated with tsallis relative operator entropy‎, ‎{em math‎. ‎inequal‎. ‎appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and tsallis relative o...

Trapezoidal intuitionistic fuzzy numbers (TrIFNs) express abundant and flexible information in a suitable manner and  are very useful to depict the decision information in the procedure of decision making. In this paper, some new aggregation operators, such as, trapezoidal intuitionistic fuzzy weighted power harmonic mean (TrIFWPHM) operator, trapezoidal intuitionistic fuzzy ordered weighted po...

This paper presents a control system for mobile robots. The controller was developed to satisfy the needs of a wide range of operator interfaces and teleoperation in unknown, unstructured environments. In particular, the controller supports varying degrees of cooperation between the operator and robot, from direct to supervisory control. The controller has a modular architecture and includes in...

Dynamics of a periodically time-dependent quantum system is re ected in the features of the eigenstates of the Floquet operator. Of the special importance, are their localization properties quantitatively characterized by the eigenvector entropy, the inverse participation ratio or the eigenvector statistics. Since these quantities depend on the choice of the eigenbasis, we suggest to use the ov...

We investigate the overlap operator with a UV filtered Wilson kernel. The filtering leads to a better localization of the operator even on coarse lattices and with the untuned choice ρ=1. Furthermore, the axial-vector renormalization constant ZA is much closer to 1, reducing the mismatch with perturbation theory. We show that all these features persist over a wide range of couplings and that th...

A nonlinear interpolat,or using a rational function filter is applied to the restoration of image sequence frames of digitized old movies. Samples to be interpolated are due to stationary and random defects. The interpolator is preceded by a defect localization algorithm. The performance of the proposed interpolator has been assessed on several sequences and compared with a classical morphologi...

We investigate the evaluation of the Dirac index using symplectic geometry in the loop space of the corresponding supersymmetric quantum mechanical model. In particular, we find that if we impose a simple first class constraint, we can evaluate the Callias index of an odd dimensional Dirac operator directly from the quantum mechanical model which yields the Atiyah-Singer index of an even dimens...

We study the localization properties of eigenmodes staggered Dirac operator in finite-temperature ${\mathbb{Z}}_{2}$ pure gauge theory on lattice $2+1$ dimensions. find that low modes turn from delocalized to localized as system crosses over confined deconfined phase ``physical'' sector (positive average Polyakov loop) selected by external fermionic probes, while they remain ``unphysical'' (neg...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}...