Search Results (4)

In this paper, we study the multidimensional claims problem and introduce the eating algorithm to this problem. It is shown that a solution is efficient if and only if it is the outcome of the eating algorithm with a profile of specific eating functions. Moreover, we adapt three classical solutions, i.e., the constrained equal awards rule, constrained equal losses rule, and proportional rule, to the current setting and show that they are special cases of the eating algorithm with specific eating functions. Full article

The COVID-19 epidemic, which can be compared to the economic catastrophe of World War II, slowed down business activities and had a significant impact on all aspects of business operations. Fuzzy scales are popular MCDM (multi-criteria decision-making) methods in modeling COVID-19 problems owing to the multi-dimensionality and complexity of health and socio-economic systems. This study aims to examine 104 works that used MCDM approaches with fuzzy scales in various COVID-19 pandemic issues and were published in top peer-reviewed journals indexed in Web of Science and Scopus. This study presents a systematic review of (1) the prevalence of fuzzy scales in scientific research for multiple criteria decision-making during COVID-19; (2) bibliometric analysis was used to identify the most important articles, authors, journals, themes, and countries; and (3) the impact of fuzzy scales on spreading established fields of research in new directions was iew of Fuzzy Scales for Multiple Criteriaconsidered. Furthermore, it addresses pertinent filed criticism, validating certain claims and dispelling others. Finally, the present study result helps regulators, academic scholars, and policy-makers to understand the current perspective and trends on multiple criteria decision-making with fuzzy scales during COVID-19 and understand the relevant areas that require further investigation. Full article

In this paper, we analyze the well-posedness of the Cauchy–Dirichlet problem to an integro-differential equation on a multidimensional domain $\Omega \subset {\mathbb{R}}^n$ in the unknown $u=u(x,t)$, ${\mathbf{D}}_t^{{\nu }_0}\left({\varrho }_{0}u\right)-{\mathbf{D}}_t^{{\nu }_1}\left({\varrho }_{1}u\right)-{\mathcal{L}}_{1}u-{\int }_0^t\mathcal{K}(t-s){\mathcal{L}}_{2}u(x,s)ds=f(x,t)+g\left(u\right),0<{\nu }_1<{\nu }_0<1,$ where ${\mathbf{D}}_t^{{\nu }_i}$ are the Caputo fractional derivatives, ${\varrho }_i={\varrho }_i(x,t)$ with ${\varrho }_0\ge {\mu }_0>0$, and ${\mathcal{L}}_i$ are uniform elliptic operators with time-dependent smooth coefficients. The principal feature of this equation is related to the integro-differential operator ${\mathbf{D}}_t^{{\nu }_0}\left({\varrho }_{0}u\right)-{\mathbf{D}}_t^{{\nu }_1}\left({\varrho }_{1}u\right)$, which (under certain assumption on the coefficients) can be rewritten in the form of a generalized fractional derivative with a non-positive kernel. A particular case of this equation describes oxygen delivery through capillaries to tissue. First, under proper requirements on the given data in the linear model and certain relations between ${\nu }_0$ and ${\nu }_1$, we derive a priori estimates of a solution in Sobolev–Slobodeckii spaces that gives rise to providing the Hölder regularity of the solution. Exploiting these estimates and constructing appropriate approximate solutions, we prove the global strong solvability to the corresponding linear initial-boundary value problem. Finally, obtaining a priori estimates in the fractional Hölder classes and assuming additional conditions on the coefficients ${\varrho }_0$ and ${\varrho }_1$ and the nonlinearity $g\left(u\right)$, the global one-valued classical solvability to the nonlinear model is claimed with the continuation argument method. Full article

The coronavirus disease 2019 (COVID-19) pandemic is affecting society’s health, economy, environment and development. COVID-19 has claimed many lives across the globe and severely impacted the livelihood of a considerable section of the world’s population. We are still in the process of finding optimal and effective solutions to control the pandemic and minimise its negative impacts. In the process of developing effective strategies to combat COVID-19, different countries have adapted diverse policies, strategies and activities and yet there are no universal or comprehensive solutions to the problem. In this context, this paper brings out a conceptual model of multistakeholder participation governance as an effective model to fight against COVID-19. Accordingly, the current study conducted a scientific review by examining multi-stakeholder disaster response strategies, particularly in relation to COVID-19. The study then presents a conceptual framework for multistakeholder participation governance as one of the effective models to fight against COVID-19. Subsequently, the article offers strategies for rebuilding the economy and healthcare system through multi-stakeholder participation, and gives policy directions/decisions based on evidence to save lives and protect livelihoods. The current study also provides evidence about multidimensional approaches and multi-diplomatic mechanisms during the COVID-19 crisis, in order to examine dimensions of multi-stakeholder participation in disaster management and to document innovative, collaborative strategic directions across the globe. The current research findings highlight the need for global collaboration by working together to put an end to this pandemic situation through the application of a Multi-Stakeholder Spatial Decision Support System (MS-SDSS). Full article