908 research outputs found
Some Operations over Pythagorean Fuzzy Matrices Based on Hamacher Operations
Pythagorean fuzzy matrix is a powerful tool for describing the vague concepts more precisely. The Pythagorean fuzzy matrix based models provide more flexibility in handling the human judgment information as compared to other fuzzy models. The objective of this paper is to apply the concept of intuitionistic fuzzy matrices to Pythagorean fuzzy matrices. In this paper, we briefly introduce the Pythagorean fuzzy matrices and some theorems and examples are applied to illustrate the performance of the proposed methods. Then we define the Hamacher scalar multiplication (n.hA) and Hamacher exponentiation (A^hn) operations on Pythagorean fuzzy matrices and investigate their algebraic properties. Furthermore, we prove some properties of necessity and possibility operators on Pythagorean fuzzy matrices
Some operations over intuitionistic fuzzy matrices based on Hamacher t-norm and t-conorm
In this paper, we define the Hamacher scalar multiplication and Hamacher exponentiation operations on Intuitionistic fuzzy matrices and also we construct n.hA and A^hⁿ of an intuitionistic fuzzy matrix A and studied the algebraic properties of these operations.Publisher's Versio
Universality Class of the Reversible-Irreversible Transition in Sheared Suspensions
Collections of non-Brownian particles suspended in a viscous fluid and
subjected to oscillatory shear at very low Reynolds number have recently been
shown to exhibit a remarkable dynamical phase transition separating reversible
from irreversible behaviour as the strain amplitude or volume fraction are
increased. We present a simple model for this phenomenon, based on which we
argue that this transition lies in the universality class of the conserved DP
models or, equivalently, the Manna model. This leads to predictions for the
scaling behaviour of a large number of experimental observables. Non-Brownian
suspensions under oscillatory shear may thus constitute the first experimental
realization of an inactive-active phase transition which is not in the
universality class of conventional directed percolation.Comment: 4 pages, 2 figures, final versio
On Structural Parameterizations of Star Coloring
A Star Coloring of a graph G is a proper vertex coloring such that every path
on four vertices uses at least three distinct colors. The minimum number of
colors required for such a star coloring of G is called star chromatic number,
denoted by \chi_s(G). Given a graph G and a positive integer k, the STAR
COLORING PROBLEM asks whether has a star coloring using at most k colors.
This problem is NP-complete even on restricted graph classes such as bipartite
graphs.
In this paper, we initiate a study of STAR COLORING from the parameterized
complexity perspective. We show that STAR COLORING is fixed-parameter tractable
when parameterized by (a) neighborhood diversity, (b) twin-cover, and (c) the
combined parameters clique-width and the number of colors
On Locally Identifying Coloring of Cartesian Product and Tensor Product of Graphs
For a positive integer , a proper -coloring of a graph is a mapping
such that for each
edge . The smallest integer for which there is a proper
-coloring of is called chromatic number of , denoted by .
A \emph{locally identifying coloring} (for short, lid-coloring) of a graph
is a proper -coloring of such that every pair of adjacent vertices
with distinct closed neighborhoods has distinct set of colors in their closed
neighborhoods.
The smallest integer such that has a lid-coloring with colors is
called
\emph{locally identifying chromatic number}
(for short, \emph{lid-chromatic number}) of , denoted by .
In this paper, we study lid-coloring of Cartesian product and tensor product
of two graphs. We prove that if and are two connected graphs having at
least two vertices then (a)
and (b) . Here and
denote the Cartesian and tensor products of and
respectively. We also give exact values of lid-chromatic number of Cartesian
product (resp. tensor product) of two paths, a cycle and a path, and two
cycles
Schematic Models for Active Nonlinear Microrheology
We analyze the nonlinear active microrheology of dense colloidal suspensions
using a schematic model of mode-coupling theory. The model describes the
strongly nonlinear behavior of the microscopic friction coefficient as a
function of applied external force in terms of a delocalization transition. To
probe this regime, we have performed Brownian dynamics simulations of a system
of quasi-hard spheres. We also analyze experimental data on hard-sphere-like
colloidal suspensions [Habdas et al., Europhys. Lett., 2004, 67, 477]. The
behavior at very large forces is addressed specifically
Theory of Suspension Segregation in Partially Filled Horizontal Rotating Cylinders
It is shown that a suspension of particles in a partially-filled, horizontal,
rotating cylinder is linearly unstable towards axial segregation and an
undulation of the free surface at large enough particle concentrations. Relying
on the shear-induced diffusion of particles, concentration-dependent viscosity,
and the existence of a free surface, our theory provides an explanation of the
experiments of Tirumkudulu et al., Phys. Fluids 11, 507-509 (1999); ibid. 12,
1615 (2000).Comment: Accepted for publication in Phys Fluids (Lett) 10 pages, two eps
figure
Dynamics of Energy Transport in a Toda Ring
We present results on the relationships between persistent currents and the
known conservation laws in the classical Toda ring. We also show that
perturbing the integrability leads to a decay of the currents at long times,
with a time scale that is determined by the perturbing parameter. We summarize
several known results concerning the Toda ring in 1-dimension, and present new
results relating to the frequency, average kinetic and potential energy, and
mean square displacement in the cnoidal waves, as functions of the wave vector
and a parameter that determines the non linearity.Comment: 34 pages, 11 figures. Small changes made in response to referee's
comment
Long wave propagation, shoaling and run-up in nearshore areas
This paper discusses the possibility to study propagation, shoaling and run-up of these waves over a slope in a 300-meter long large wave flume (GWK), Hannover. For this purpose long bell-shaped solitary waves (elongated solitons) of different amplitude and the same period of 30 s are generated. Experimental data of long wave propagation in the flume are compared with numerical simulations performed within the fully nonlinear potential flow theory and KdV equations. Shoaling and run-up of waves on different mild slopes is studied hypothetically using nonlinear shallow water theory. Conclusions about the feasibility of using large scale experimental facility (GWK) to study tsunami wave propagation and run-up are made.Alexander von Humboldt foundationRFBR/14-02-00983RFBR/14-05-0009
- …