Computational and Applied Mathematics

Abstract This study introduces an innovative rough set model, termed $$\varepsilon $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ε</mml:mi> </mml:math> -Adhesion Rough Set Approximation (ARSA), which is developed by employing the concept of adhesion neighborhoods. Building on the classical rough set approximation (RSA) framework, ARSA extends its core concepts to offer a mo…

Abstract Given a graph G consider a procedure of building a dominating set D in G by adding vertices to D one at a time in such a way that whenever vertex x is added to D there exists a vertex $$y\in N_G[x]$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>y</mml:mi> <mml:mo>∈</mml:mo> <mml:msub> <mml:mi>N</mml:mi> <mml:mi>G</mml:mi> </mml:msub> <mml:mrow> <mml:mo>[</…

Abstract This study proposes a novel framework for evaluating the efficiency of two-stage network decision-making units by integrating the hyperbolic distance function (HDF) with conic optimization. Building on the direct HDF model of Hassanasab et al. (2019), the problem is reformulated within a conic programming structure that explicitly captures internal flows and inter-stage dependencies. The…

Abstract Efficient closure computation is a key challenge in fuzzy Formal Concept Analysis. Direct implicational systems, which allow for one-step closure calculation, offer a powerful solution, but their formalization and practical computation in the fuzzy setting have remained largely open problems. This paper provides a comprehensive contribution to fill this gap. We first extend the concept o…

Abstract In this paper, the spread of an epidemiological disease over time is modeled as a Bienaymé–Galton–Watson process. Therefore, a discrete random variable models the number of infections per infector and rules the branching process. Given this probabilistic model, the main aim is to compare computationally methodologies to get mass functions of further generations’ size: probability generat…

Abstract We propose $$C^1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>1</mml:mn> </mml:msup> </mml:math> -conforming finite element methods for a class of nonlinear fourth-order partial differential equations arising in continuum physics. Our primary motivation is the Landau–Lifshitz–Baryakhtar equation in micromagnetics, although the framewor…