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        THE DIMENSIONS OF GORENSTEIN XY-FLAT MODULES WITH RESPECT TO A SEMIDUALIZING MODULES

        V. BIJU,R. UDHAYAKUMAR,A. UMAMAHESWARAN,M. PARIMALA 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.4

        In this paper, we introduce and investigate the notion of Gorenstein XY-flat modules with respect to a semidualizing module and also study the relationship between the GC-XY-flat resolution and the XY-flat resolution of a module over GXYf-closed ring where X is a class of left R-modules and Y is a subclass of X.

      • K-Means Clustering of Shakespeare Sonnets with Selected Features

        T. Senthil Selvi,R. Parimala 보안공학연구지원센터 2016 International Journal of Database Theory and Appli Vol.9 No.8

        This paper focuses on clustering the lines of Shakespeare Sonnets. Sonnet Line Clustering (SLC) is the task of grouping a set of lines in such a way that lines in the same cluster are more similar to each other than to those in other clusters. K-Means clustering is a very effective clustering technique well known for its observed speed and its simplicity. Its aim is to find the best division of N lines into K groups (clusters), so that the total distance between the groups’s members and corresponding centroid, is minimized. A new algorithm Sonnet Line Clustering with Random Feature Selection SLCRFS is proposed. To validate the process external validation or internal validation is done. Since, internal validation has no considerable impact in conducting research this work concentrates on the measures of external validation. Entropy and Purity are frequently used external measures of validation for K-Means. The proposed approach uses entropy as performance measure. The clusters formed are evaluated and interpreted according to the Euclidean measure between data points and cluster centers of each cluster. This paper concludes with an analysis of the results of using the proposed measure to display the clustered sonnets using K-Means algorithm with minimum entropy for different feature sets.

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