it is firstly proved that the multi-input-single-output (miso) fuzzy systems based on interval-valued $r$- and $s$-implications can approximate any continuous function defined on a compact set to arbitrary accuracy.  a formula to compute the lower upper bounds on the number  of interval-valued fuzzy sets needed to achieve a pre-specified approximation  accuracy for an arbitrary multivariate con...

bifurcations leading to chaos have been investigated in a number of one dimensional dynamical systems by varying the parameters incorporated within the systems. the property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. in the process, the calculations for invariant set have also been carried out. a bro...

let g_1 and g_2 be simple connected graphs with disjoint vertex sets v(g_1) and v(g_2), respectively. for given vertices a_1in v(g_1) and a_2in v(g_2), a splice of g_1 and g_2 by vertices a_1 and a_2 is defined by identifying the vertices a_1 and a_2 in the :union: of g_1 and g_2. in this paper, we present exact formulas for computing some vertex-degree-based graph invariants of splice of graphs.

For a reversible and ergodic Markov chain {Xn, n ≥ 0} with invariant distribution π, we show that a valid confidence interval for π(h) can be constructed whenever the asymptotic variance σ P (h) is finite and positive. We do not impose any additional condition on the convergence rate of the Markov chain. The confidence interval is derived using the so-called fixed-b lag-window estimator of σ P ...

We prove central limit theorem for linear eigenvalue statistics of orthogonally invariant ensembles of randommatrices with one interval limiting spectrum. We consider ensembles with real analytic potentials and test functions with two bounded derivatives.

Since 2005 a new powerful invariant of an algebra has emerged using the earlier work of Horvath, Hethelyi, Kulshammer and Murray. The authors studied Morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. It was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

We study innnite systems of globally coupled maps with permutation invariant interaction as limits of large nite-dimensional systems. Because of the symmetry of the interaction the interesting invariant measures are the exchangeable ones. For innnite systems this means in view of de Finetti's theorem that we must look for time invariant measures within the class of mixtures of spatial i.i.d. pr...

since 2005 a new powerful invariant of an algebra has emerged using the earlier work of horvath, hethelyi, kulshammer and murray. the authors studied morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. it was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

data envelopment analysis (dea) is a method for measuring the relative efficiencies of a set of decision-making units (dmus) that use multiple inputs to produce multiple outputs. in this paper, we study the measurement of dmu performances in dea in situations where input and/or output values are given as imprecise data. by imprecise data we mean situations where we only know that the actual val...

Abstract We discuss an impact of various (path-wise) reflection-from-the barrier scenarios upon confining properties a paradigmatic family symmetric α -stable Lévy processes, whose permanent residence in finite interval on line is secured by two-sided reflection. Depending the specific reflection ‘mechanism’, inferred jump-type processes differ their spectral and statistical characteristics, li...