Basics of Concepts Representation for Document Summarization

This paper presents three different ways to describe the notion concept. The first one uses the idea of hierarchy and employs a graph to define the connections between attributes and concepts. To enable concepts generation, manipulation or measurement a matrix model is developed. Thus, the entire space of terms could be generated by a set of (linearly) independent terms over a numerical field. The total number of concepts to be generated over a numerical field using a given number of attributes is estimated in this paper. A memory efficient spherical presentation is developed on the above models. An algorithmic implementation of Hierarchy of concepts and attributes (HAC) is developed and experimental results are presented using concepts from the field of education.