New estimates for convex layer numbers

Estimates for Wieferich Numbers

We define Wieferich numbers to be those odd integers w ≥ 3 that satisfy the congruence 2φ(w) ≡ 1 (mod w2). It is clear that the distribution of Wieferich numbers is closely related to the distribution of Wieferich primes, and we give some quantitative forms of this statement. We establish several unconditional asymptotic results about Wieferich numbers; analogous results for the set of Wieferic...

Bounds for Convex Crossing Numbers

Regularity estimates for convex multifunctions

The main result of the paper contains an exact formula for the rate of regularity of a set-valued mapping with a convex graph. As a consequence we find an exact expression for the rate of regularity of a set-valued mapping associated with so called constraint system. It turns out that the rate is equal to the upper bound of Robinson-type estimates over all norms in the graph space of the homoge...

A new method for ranking of Z-numbers

In this paper we propose a new method for ranking Z- numbers and generalizations. This method is based on the internal structure of the artificial neural network, which suggests that the structure of this network consists of inputs weights and the transfer function linear, nonlinear and sometimes linear and nonlinear. It is shown that the proposed method while possessing the ranking properties ...

A new method for ordering triangular fuzzy numbers

Ranking fuzzy numbers plays a very important role in linguistic decision making and other fuzzy application systems. In spite of many ranking methods, no one can rank fuzzy numbers with human intuition consistently in all cases. Shortcoming are found in some of the convenient methods for ranking triangular fuzzy numbers such as the coefficient of variation (CV index), distance between fuzzy set...