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On the connection of hypergraph theory with formal concept analysis and rough set theory
2016
Information Sciences
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In this framework, we are able to solve typical problems of Rough Set Theory and Formal Concept Analysis using combinatorial techniques. ...
We present a unique framework for connecting different topics: hypergraphs from one side and Formal Concept Analysis and Rough Set Theory from the other. ...
The poset (Υ(I), ) is an important structure in granular computing and in rough set theory (see [35] ) as well as in database theory (see [22] ). ...
doi:10.1016/j.ins.2015.09.054
fatcat:m67dtiyorze3vl3mnwrboosaei
Non-convex clustering using expectation maximization algorithm with rough set initialization
2003
Pattern Recognition Letters
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Rough set theory helps in faster convergence and avoidance of the local minima problem, thereby enhancing the performance of EM. MST helps in determining non-convex clusters. ...
An integration of a minimal spanning tree (MST) based graph-theoretic technique and expectation maximization (EM) algorithm with rough set initialization is described for non-convex clustering. ...
features) in a granular universe. ...
doi:10.1016/s0167-8655(02)00198-8
fatcat:dk6neotu3jakfewirhc37nhk4y
The hierarchical properties of contact networks in granular packings
[article]
2005
arXiv
pre-print
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Here we apply to granular matter an approach which was originally developed for the study of crystalline systems (Brunner & Laves 1971; O'Keeffe 1991b; Conway & Sloane 1997) and disordered foams . ...
COORDINATION NUMBER The average number of spheres in contact with any given sphere have been widely investigated in the literature of granular matter (Bernal & Mason 1960; Scott 1962; Seidler et al. 2000 ...
arXiv:cond-mat/0504359v1
fatcat:kjmcaph5jbgdxpvsipwt6uznqq
Influence of particle characteristics on granular friction
2005
Journal of Geophysical Research
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granular fault gouge. ...
We suggest that force chains exhibit qualitative differences as a function of grain angularity and bounding surface roughness. ...
et al., 1992; Sammis and Steacy, 1994; Scott et al., 1994] . ...
doi:10.1029/2004jb003399
fatcat:vxaaelwt6bbjfkbayg2ywoixyy
A granular neural network: Performance analysis and application to re-granulation
2013
International Journal of Approximate Reasoning
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The multi-granularity problem is one of the key open problems in Granular Computing. ...
We present the Granular Neural Network, a novel adaptive neural network architecture that employs granular values and operations at the level of individual neurons. ...
GrC arises from the fusion of several different reasoning formalisms, including fuzzy sets, rough sets [3-6], fuzzy-rough sets [7], interval analysis, shadowed sets [2], and their various hybridizations ...
doi:10.1016/j.ijar.2013.01.012
fatcat:mkpfkplh3jbtdlfkkmpnee7ete
Edwards Statistical Mechanics for Jammed Granular Matter
[article]
2017
arXiv
pre-print
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We discuss the construction of microcanonical and canonical ensembles based on the volume function, which replaces the Hamiltonian in jammed systems. ...
In 1989, Sir Sam Edwards made the visionary proposition to treat jammed granular materials using a volume ensemble of equiprobable jammed states in analogy to thermal equilibrium statistical mechanics, ...
Experiments of hard sphere packings go back to the seminal work by Bernal and Scott (Bernal, 1960; Bernal and Mason, 1960; Scott, 1960 Scott, , 1962 . ...
arXiv:1602.04369v4
fatcat:cgmovonntjh7hbqmp4cyb4qpwa
Spectral responses in granular compaction
2010
Physical Review E
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2009 pre-print arXiv:0911.1376v1 fatcat:lsdgvt4vbjgcll6cscwhc2e55e
of the system. ...
Finally, I examine the effect of finite system size on the spectrum of compaction dynamics. ...
in size as the system approaches the jammed state [61] . ...
doi:10.1103/physreve.81.031302
pmid:20365729
fatcat:wqpd25kbwzdhfj57jpdub5mt4u
Granular Matter: A Tentative View
[chapter]
1999
More Things in Heaven and Earth
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Granular matter describes large collections of small grains, under conditions in which the Brownian motion of the grains is negligible (sizes dϾ1 micrometer). ...
The present discussion is restricted to static problems, for which the main approach is to describe properly the initial state of each volume element, when it was deposited from a fluid flow. ...
POWDERS IN NATURE AND IN INDUSTRY Granular matter refers to particle systems in which the size d is larger than one micron. ...
doi:10.1007/978-1-4612-1512-7_41
fatcat:4bdlqyreqnc5lmpbqxssd7shm4
Granular matter: a tentative view
1999
Reviews of Modern Physics
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Granular matter describes large collections of small grains, under conditions in which the Brownian motion of the grains is negligible (sizes dϾ1 micrometer). ...
The present discussion is restricted to static problems, for which the main approach is to describe properly the initial state of each volume element, when it was deposited from a fluid flow. ...
POWDERS IN NATURE AND IN INDUSTRY Granular matter refers to particle systems in which the size d is larger than one micron. ...
doi:10.1103/revmodphys.71.s374
fatcat:czh3sfkkfzgb3crfzzwtznb4ri
Edwards statistical mechanics for jammed granular matter
2018
Reviews of Modern Physics
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We discuss the construction of microcanonical and canonical ensembles based on the volume function, which replaces the Hamiltonian in jammed systems. ...
Here, we review a systematic approach to jammed matter based on the Edwards statistical mechanical ensemble. ...
Experiments of hard sphere packings go back to the seminal work by Bernal and Scott (Bernal, 1960; Bernal and Mason, 1960; Scott, 1960 Scott, , 1962 . ...
doi:10.1103/revmodphys.90.015006
fatcat:jfijspvodvavzp4fhyf6xikys4
What Controls the Rheology of Granular Materials?
[chapter]
2004
Continuum Models and Discrete Systems
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Correspondingly, these Convective Cahn-Hilliard models have been suggested for the description of phase separation of driven systems and instabilities of crystallization fronts. ...
A phase field model is proposed which incorporates the effects of slowly varying internal variables via a delayed or time averaged response of the system to the ambient driving forces. ...
Friedman, Scott B. Jones and David A. ...
doi:10.1007/978-1-4020-2316-3_52
fatcat:x4kh7xkf6fajloq6fffagbyp24
Coupling rheology and segregation in granular flows
2020
Journal of Fluid Mechanics
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A novel feature of this approach is that any number of differently sized phases may be included, which may have disparate frictional properties. ...
This general approach is based on the partially regularized incompressible μ(I)-rheology, which is coupled to the gravity-driven segregation theory of Gray & Ancey (J. ...
Barker and others The granular inflow velocity is therefore set to u g = u Bagnold e x . ...
doi:10.1017/jfm.2020.973
fatcat:cg474lyrsvamnahckjkqk6r5q4
Diffusion as a mixing mechanism in granular materials
2000
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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2000 pre-print arXiv:cond-mat/0003354v1 fatcat:uilostm5vvgtjjibdea3phhfwi
We present several numerical results on granular mixtures. In particular, we examine the efficiency of diffusion as a mixing mechanism in these systems. ...
We examine a model for bidisperse systems for which we can calculate some physical quantities. ...
Scott and J. Bridgwater, Powd. Tech. 14 (1976) 177-183 4 C. S. Cambell Ann. Rev. Fluids. Mech. 22 (1990) 57-92 ...
doi:10.1103/physreve.63.011304
pmid:11304253
fatcat:gdexrby37vafhmvmpkofahowfu
Machine Learning Reveals the State of Intermittent Frictional Dynamics in a Sheared Granular Fault
[article]
2019
arXiv
pre-print
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, as particles do in slowly sheared granular systems. ...
Seismogenic plate boundaries are presumed to behave in a similar manner to a densely packed granular medium, where fault and blocks systems rapidly rearrange the distribution of forces within themselves ...
The granular flow remains in the quasi-static regime by setting the inertial number to be below 10 -3 [MiDi, 2004] . We use LIGGGHTS Kloss et al., 2012] to model the granular system. ...
arXiv:1903.11157v1
fatcat:va2l2vv7rzcxtfsgepu5m746yu
Nanoscale detection of metastable states in porous and granular media
2020
Journal of Applied Physics
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2020 pre-print arXiv:2011.11863v1 fatcat:mc4n3fxrpzctxcbbfamlfgnriu
We conjecture that a primary factor causing microseismicity is the existence of metastable states in granular porous medium and provide experimental evidence for its validity. ...
When the temperature approached that of liquid nitrogen at 77 K, the jumps disappeared because the temperature changed very slowly as the system approached its new equilibrium state. ...
Control experiments on rough Si substrates with surface pores, which did not have a granular texture, did not exhibit such resistance jumps. ...
doi:10.1063/1.5135321
fatcat:khc5mzewa5bivfolcr5psuweru
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