We present a new hierarchical clustering criteria which can be applied to data set. This is done after generating an initial partition by using a Topological Self Organizing Map. This criteria contains two terms which take into account two di erent errors simultaneously: the square error of the entire clustering (as the Ward criteria) and the topological structure given by the Self Organizing M...

The composition of fuzzy relations for their uniting in multicriteria decision making problems is considered. Some criteria evaluate a set of alternatives by fuzzy preference relations. The comparison between the criteria importance is given as a fuzzy preference relation too. Aggregation of these relations is made with the help of a composition of the couple of the relations by the criteria an...

A T-spherical fuzzy set is a more powerful mathematical tool to handle uncertain and vague information than several sets, such as set, intuitionistic Pythagorean q-rung orthopair picture set. The Aczel–Alsina t-norm s-norm are significant operations with high premium on affectability parameter activity, which extremely conducive handling imprecise undetermined data. On the other hand, Hamy mean...

and Applied Analysis 3 where τ t ≤ t, σ t ≤ t, τ ′ t τ0 > 0, 0 ≤ p t ≤ p0 < ∞, and the authors obtained some oscillation criteria for 1.7 . However, there are few results regarding the oscillatory problem of 1.1 when τ t ≥ t and σ t ≥ t. Our aim in this paper is to establish some oscillation criteria for 1.1 under the case when τ t ≥ t and σ t ≥ t. The paper is organized as follows. In Section ...

By using the Mountain Pass Theorem, we establish some existence criteria to guarantee the second-order nonlinear difference equation ∆ [p(t)∆u(t − 1)] + f(t, u(t)) = 0 has at least one homoclinic orbit, where t ∈ Z, u ∈ R.

The database of prospective zeolites (www. hypotheticalzeolites.net) has been screened in search of feasible zeolites. Previous criteria of zeolite feasibility have been reviewed, based on descriptors such as energy, density, average and distribution of ring sizes, and more importantly that of Li et al. (LID criteria) presented recently [Angew. Chem. Int. Ed. 2013, 52, 1673], based on Si–O, O.....

In this article, we establish oscillation criteria for all solutions to the neutral differential equations [x(t)± ax(t± h)± bx(t± g)] = p Z d

We introduce and prove some new interval oscillation criteria for a general class of forced second-order differential equations (E) : ( r(t)k1(x, x′) )′ + p(t)k2(x, x′)x′ + q(t)f(x) = e(t), t ≥ t0, where the functions k1(u, v), k2(u, v) and f(u) satisfy some general conditions. Our interval oscillation criteria and their proofs are different than previously published ones, and it is based on (i...