Nicolás Zumelzu - Profile on Academia.edu (original) (raw)
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The main goal in this work is to prove the exponential decay of the semigroup associated with a t... more 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 this goal, we will use mainly multiplicative techniques and standard tools of functional analysis.
IEEE Transactions on Fuzzy Systems, 2022
From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only ... more 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.
A construção da integral de Riemann que estudamos baseia-se em retângulos como domínio das funçõe... more A construção da integral de Riemann que estudamos baseia-se em retângulos como domínio das funções integráveis, pela comodidade de subdividi-los utilizando partições. É evidente que o procedimento de integração deve ser mais amplio e abarcar domínios mais gerais.
The main goal in this work is to prove the exponential decay of the semigroup associated with a t... more 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 this goal, we will use mainly multiplicative techniques and standard tools of functional analysis.
IEEE Transactions on Fuzzy Systems, 2022
From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only ... more 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.
A construção da integral de Riemann que estudamos baseia-se em retângulos como domínio das funçõe... more A construção da integral de Riemann que estudamos baseia-se em retângulos como domínio das funções integráveis, pela comodidade de subdividi-los utilizando partições. É evidente que o procedimento de integração deve ser mais amplio e abarcar domínios mais gerais.