In this paper, pretopological and topological operators are introduced based on partially continuous linear transformations of the membership and non-membership functions for intuitionistic fuzzy sets. They turn out to be a generalization of the topological operators for intuitionistic fuzzy sets.On the other hand it is a generalization of the fuzzy set pretopological operators introduced...

The integer quantum Hall effect (IQHE) is usually modeled by a Galilean or rotationally invariant Hamiltonian. These are not generic symmetries for electrons moving in a crystal background and can potentially confuse non-topological quantities with topological ones and identify otherwise distinct geometrical properties. In this thesis we present a generic theory for the IQHE. First we show that...

Photo-responsive double emulsions made of liquid crystal (LC) were prepared by a microfluidic device, and the light-induced processes were studied. The phase transition was induced from the center of the topological defect for an emulsion made of (N-(4-methoxybenzylidene)4-butylaniline (MBBA), and strange texture change was observed for an emulsion made of 4-cyano-4′pentylbiphenyl (5CB) doped w...

We pursue the program initiated in [7], which consists of an attempt by means of K-theory to construct a strongly torsion generated group with prescribed center and integral homology in dimensions two and higher. Using algebraic and topological K-theory for real C∗-algebras, we realize such a construction up to homological dimension five. We also explore the limits of the K-theoretic approach.

We use a distortion to define the dual complex of a cubical subdivision of R as an n-dimensional subcomplex of the nerve of the set of n-cubes. Motivated by the topological analysis of high-dimensional digital image data, we consider such subdivisions defined by generalizations of quadand oct-trees to n dimensions. Assuming the subdivision is balanced, we show that mapping each vertex to the ce...

We study correlations between low-lying modes of the overlap Dirac operator and vacuum defects, center vortices and three-dimensional volumes, in lattice SU(2) gluodynamics. The low-lying modes are apparently sensitive to topological properties of the underlying gluon field configurations while the vacuum defects are crucial for the confinement. We find distinct positive correlation in both cas...

For speeding-up consent achievement in a team it is worth to utilize stabilization and convergence strategic conversation (meeting) technologies in coordination processes of mutual understanding amongst the team members regarding targets and actions. These technologies are based on fundamental thermo-dynamical relations, quantum effects and on ill-defined (ill-posed) problem solution methods in...

abstract: in this study an appropriate computational approach was presented for estimating the boiling temperatures of 41 different types of olefins and their derivatives. based on the guidelines of this approach, several structural indices related to the organic components were applied using graph theory. meanwhile, in addition to evaluating the relation between the boiling temperatures of ole...

in this paper, we  study the arens regularity properties of module actions. we investigate some properties of topological centers of module actions ${z}^ell_{b^{**}}(a^{**})$ and  ${z}^ell_{a^{**}}(b^{**})$ with some conclusions in group algebras.

the padmakar-ivan (pi) index is a wiener-szeged-like topological index which reflectscertain structural features of organic molecules. the pi index of a graph g is the sum of alledges uv of g of the number of edges which are not equidistant from the vertices u and v. inthis paper we obtain the second and third extremals of catacondensed hexagonal systems withrespect to the pi index.