arXiv subjects

Nicolás Zumelzu

Publications and source records attributed to Nicolás Zumelzu.

3 recordsLinked to original sources

arXiv2023

Averaging functions on triangular fuzzy numbers

Admissible orders on fuzzy numbers are total orders which refine a basic and well-known partial order on fuzzy numbers. In this work, we define an admissible order on triangular fuzzy numbers (i.e. TFN's) and study some fundamental properties with its arithmetic and their relation with this admissible order. In addition, we also introduce the concepts of average function on TFN$'s and studies a generalized structure of the vector spaces. In particular we consider the case of TFN's.

math.GM↗

arXiv2021

Exponential stability of the Euler-Bernoulli microbeam and thermal effect

The main goal in this work is to prove the exponential decay of the semigroup associated with a thermoelastic system composed of an Euler-Bernoulli type equation that models the transverse oscillation of a homogeneous microbeam with axial movement and in which a viscous damping is acting. In addition, to this microbeam has been endowed with a thermal effect given by the Coleman-Gurtin model which depends essentially on past history, representing an improvement of Fourier, Cattaneo, and Green-Naghdi models. To achieve these goals, we will use mainly multiplicative techniques and standard tools of functional analysis.

math.AP↗

arXiv2021

Admissible orders on fuzzy numbers

From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this paper, we introduce the notion of admissible order for fuzzy numbers equipped with a partial order, i.e. a total order which refines the partial order. In particular, it is given special attention to the partial order proposed by Klir and Yuan in 1995. Moreover, we propose a method to construct admissible orders on fuzzy numbers in terms of linear orders defined for intervals considering a strictly increasing upper dense sequence, proving that this order is admissible for a given partial order. Finally, we use admissible orders to ranking the path costs in fuzzy weighted graphs.

math.GM↗