Granular computing: modeling human thoughts in the web by polyhedron

Authors:
Tsau Young Lin;Mong-Hang Vo
Affiliations:
Department of Computer Science, San Jose State University, San Jose, CA and Berkeley Initiative in Soft Computing, University of California, Berkeley;Department of Computer Science, San Jose State University, San Jose, CA and Berkeley Initiative in Soft Computing, University of California, Berkeley
Venue:
WImBI'06 Proceedings of the 1st WICI international conference on Web intelligence meets brain informatics
Year:
2006

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Abstract

In this chapter, granular computing is used to process the Web information. The main result is that the human thinking inside a document set can be represented by a polyhedron; more general cases are discussed. A polyhedron is a subset of Euclidean space that supports a combinatorial structure, called simplicial complex. From the granular computing point of view, a simplicial complex is a special form of the granular model, in which the granular structure satisfies the closed condition (geometric concept). It is important to note that it is equivalent to the Apriori principle (data mining concept). A point in such a polyhedron represents a human thought. Each simplex represents a concept. A maximal simplex is a primitive concept. A connected component represents a complete concept. The totality of these concepts is called the basic knowledge.