In this paper, we first define various types of 𝑘-regularity of ordered semigroups and various types of 𝑘-Archimedness of ordered semigroups. Also, we define the relations
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on an ordered semigroup. Using these notions, filter, and radical subsets of an ideal, left ideal and bi-ideal of ordered semigroups we describe chains of 𝑘-Archimedean (left 𝑘-Archimedean, 𝑡-𝑘-Archimedean) ordered subsemigroups.
In this paper, we define various types of 𝑘-regularity of ordered semigroups and using generalizations of some Green's relations and its properties, are described the structure of band and complete ...semilattice of 𝓛𝑘-simple, ℐ𝑘-simple, 𝓑𝑘-simple, 𝓗𝑘-simple ordered semigroups.
In this paper on an arbitrary semigroup we define a few different types of relations and its congruence extensions. Also, we describe the structure of semigroups in which these relations are band ...congruences. The components of such obtained band decompositions are in some sense simple semigroups.
Local economic environment is characterised by a range of economic, social, political and demographic parameters, based on which we can perform its analysis. Heterogeneity of relevant characteristics ...of the local economic environment imposes multiple criteria analysis as one of the suitable tools for the evaluation. Assessment of local economic environment often falls within the scope of group decision-making, as it is usually performed on the basis of an analysis of preferences of economic subjects or relevant experts on the issue of the economic environment at the local level. Regardless of whether it is based on economic subjects or expert group, in order to form a multi-criteria model, it is necessary to generate preferences of individuals into a single weight coefficient, which shows groups’ preference on the importance of each criterion. The subject of this paper is determination of weight coefficients in the multi-criteria model for the analysis of local economic development based on the preferences from a group of experts, by applying adequate statistical tools, and then by ranking local governments according to the quality of business environment perceived by the expert group.In addition to descriptive statistics and testing the significance of differences, in the paper is applied multi-criteria method Simple Additive Weights - SAW.
Improvement of business is one of the primary goals of any business entity. One of the basic prerequisites for a successful business is the proper allocation of public resources. In this sense, the ...public procurement system is an important component in improving the efficiency of public finances, which are of special interest to modern society. This paper discusses the role and importance of the method of multi-criteria analysis for the evaluation of public procurement. The idea for this kind of analysis is the result of research into the possibility of applying different methods of decision making in the modern approach to decision making in the sector of public procurement. The emphasis is placed on those methods that use the alternative ranking. In addition to the theoretical dimension, the paper also presents one method of multi-criteria analysis, the AHP method, applied to empirical data obtained from the Gerontology center “Jelenac” in Aleksinac.
Modern trends in society lead to the conclusion that the development of a country can not be based on a numerical increase in human resources, but only on raise of the creative and production quality ...of these resources, which is the exclusive task of the educational system. According to the indicators of investment in the development of the educational system, the Republic of Serbia is below the EU average. For this reason, one of the conditions that the Republic of Serbia needs to meet on its path towards the European Union is to achieve the European average spending on higher education.The subject of the research presented in this paper are the expenditures on education and competitivness of the economy in the Republic of Serbia and neighboring countries. Since the quality of education is one of the elements of economy competitiveness, it will be also analyzed in the paper. The aim of the paper is to examine the relation between expenditures on education, quality of education and competitiveness in the Republic of Serbia and neighboring countries. Appropriate statistical techniques will be used in order to analyse relation directions and forms between observed indicators. Data from the National Bank of Serbia, Eurostat and World Economic Forum reports will serve as an information basis for the analyses
This paper is devoted to the application of the general principles of mathematical modeling to such a specific area as economic-environmental interaction. For the description of some of these models ...we use results and algorithms from 5 and 6. In 7, 8 and 9 some of these mathematical models are used in the analysis of Pareto optimality and external effects in ecology
High-quality digital infrastructure is the basis of almost every sector of a modern and innovative economy and society. As a part of the overall competitiveness concept, digital competitiveness is a ...multidimensional structure that encompasses various factors of the process of digital transformation through the ability of learning and application of new technologies, technology factors that enable digital transformation, and digital readiness factors that assess the preparedness of an economy and citizens to assume digital transformation. The paper aims to propose a methodology for measuring digital competitiveness using a composite index approach including a variety of various indicators. To assess the digital competitiveness of European countries, a multi-criteria analysis was applied in a two-stage procedure integrating CRITIC and TOPSIS as weighting and aggregation methods. The sample includes thirty European countries and the research is based on thirteen indicators provided in the database Eurostat Digital Economy and Society. In addition, a ranking of sample countries according to digital competitiveness is presented. Finally, a cluster analysis was conducted to examine relations between digital competitiveness and several economic performances such as GDP pc, labour productivity and employment rates. The results indicate that Nordic countries have achieved the highest digital competitiveness, while most Eastern European countries still lag behind.
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