The world pandemic as a global disaster of the early 21st century is bringing unexpected problems that have not been experienced ever before by the individual countries and their economies since the end of the World War II. In essence, there are two possibilities of solving the pandemic situation. The first solution is represented by medicine. The substantial solution, however, seems to have security and social formes. The managerial abilities of the Governments of the individual countries and a good level of health care can contribute to regulating and subsequent stopping the pandemic as well. However, this task can not be fulfilled without the fellowship of population, otherwise it could bring chaos and destroy the social values. Mitigating the consequences of the pandemic and removing them is greatly contributed by crisis management together with rescue units. Such a process necessitates the fellowship of population providing a place for medical and technological solutions supported by the developed ones of the crisis management. This paper is a result of solving an institutional project at the University of Security Management in Ko�ice and characterizes the position of the crisis management and rescue units in solving the pandemic in the Slovak Republic. In addition, this paper also compares starting points of the crisis management and measures taken by the selected countries. Identifies the activities of the position, tasks, activities of rescue services of the integrated rescue system of the Slovak Republic within the crisis management.
Let $T=U|T|$ be the polar decomposition of an operator $T$. For $s,t\\geq0$ with $s+t=1$,\nthe $(s,t)$-Aluthge transform is defined by $\\Dst(T)=|T|^sU|T|^t$. In this paper, we shall\ndiscuss the numerical range of $\\Dst(T)$ and show that $w(\\Dst(T))\\leq w(T)$ and if $T$\nis an $n\\times n$ matrix, then $\\overline{W(\\Dst(T))}\\subset \\overline{W(T)}$. Moreover, among other things by applying the generalized Aluthge transform of operators, we establish some inequalities involving the numerical radius. Also, we establish some upper bounds for the numerical radius of $2\\times 2$ operator matrices.
The notion of cubic intuitionistic commutative ideals in BCK-algebras is introduced. The relationship between a cubic intuitionistic subalgebra, a cubic intuitionistic ideal and a cubic intuitionistic commutative ideal is discussed. Conditions for a cubic intuitionistic ideal to be a cubic intuitionistic commutative ideal are provided. Characterizations of a cubic intuitionistic commutative ideal are considered. The cubic intuitionistic extension property for a cubic intuitionistic commutative ideal is established. The homomorphic image and inverse image of cubic intuitionistic commutative ideals are studied and a few related properties are investigated. Also, the product of cubic intuitionistic commutative ideals of BCK-algebras are investigated.
In this paper,we introduce the notion of convexity in fuzzy metric spaces and we study the structures of fuzzy metric spaces. Also, we present some theorems on the existence of coincidence points in fuzzy convex metric spaces. Next, we will define the concept of a star-shaped subsets in fuzzy convex metric space. We were able to prove some fixed point theorems for commuting mappings of the non-expansive type mappings on a star-shaped subset of fuzzy convex metric spaces. Finally, we also generalize the notion of fuzzy convex metric space, give a non-trivial example of such a space. Also, we obtained some fixed point theorems for multi-valued mappings of non-expansive type.
In this work, we study the short�term dynamics of the Surface Air Temperature (SAT) using data obtained from a meteorological station in Bogot� from 2009 to 2019 and using time series. The data that we used correspond to the monthly mean of the historical registers of SAT and three pollutants. A descriptive analysis of the data follows. Then, some predictions are obtained from two different approaches: (i) a univariate analysis of SAT through a SARIMA model, which shows a good fit; and (ii) a multivariate analysis of SAT and pollutants using a SVAR model. Suitable transformations were first applied on the original dataset to work with stationary time series. Subsequently, A SARIMA model and a VAR(2) with its associated SVAR model are estimated. Furthermore, we obtain one�year forecasts for the logarithm of SAT in both models. Our forecasts simulate the natural fluctuation of SAT, presenting peaks and valleys in months when SAT is high and low, respectively. The SVAR model allows us to identify certain shocks that affect the instant relationships among variables. These relations were studied by the impulse�response function and the VAR model variance decomposition. The results are consistent with environmental theories.