Internal Neighbourhood Structures II: Closure and closed morphisms

Internal preneighbourhood spaces were initiated in \cite{2020}{.} The present paper introduces a closure operator on an internal preneighbourhood space of a finitely complete category with finite coproducts and a proper $(\mathsf{E}, \mathsf{M})$ system. The closure operator is shown to be grounded, idempotent, additive (if every filter of admissible subobjects is contained in a prime filter), hereditary, transitive, and satisfy \emph{finite structure preservation property} whenever product projections are $\mathsf{E}$-morphisms. The closure operator agrees with the usual closure operators for topological spaces and locales. The paper discuss closed morphisms, dense morphisms, proper morphisms, separated morphisms and perfect morphisms. Alongwith the paper introduces special classes of internal preneighbourhood spaces, namely the compact spaces, Hausdorff spaces, compact Hausdorff spaces, Tychonoff spaces and absolutely closed spaces

Government finances and economic growth: a policy perspective on the developing economy of Sri Lanka

In this paper, we analyse the fiscal policy orientation of the developing economy of Sri Lanka in the context of the growth performance of the economy during the period 1975-2000, using an integrated input-output and macroeconometric model. The paper draws upon the Government’s policy approach towards faster economic growth. The empirical findings show that the Government’s budget deficits are not primarily the result of an excess of consumption over revenue. Rather, other current expenses, such as Government transfers and interest payments, have been the main cause of the country’s mounting public debt. The proportion of Government investment in total Government outlays has declined over time. This could be a major obstacle to economic growth. At the same time, the Government’s recurring budget deficits have led to an escalating national debt, and the monetization of deficits has created inflationary pressures. In order to arrest these trends and encourage economic growth, reducing the current deficits in the Government budgets is imperative. Domestic private investment, foreign direct investment and Government investment have to be combined as complementary forces to ensure rapid economic growth in the country.

Mining Frequent Itemsets Using Genetic Algorithm

In general frequent itemsets are generated from large data sets by applying association rule mining algorithms like Apriori, Partition, Pincer-Search, Incremental, Border algorithm etc., which take too much computer time to compute all the frequent itemsets. By using Genetic Algorithm (GA) we can improve the scenario. The major advantage of using GA in the discovery of frequent itemsets is that they perform global search and its time complexity is less compared to other algorithms as the genetic algorithm is based on the greedy approach. The main aim of this paper is to find all the frequent itemsets from given data sets using genetic algorithm