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Everett, Daniel M.; Cater, Steven C. – Journal of the American Society for Information Science, 1992
Explains the use of a topological structure to examine the closeness between documents in retrieval systems and analyzes the topological structure of a vector-space model, a fuzzy-set model, an extended Boolean model, a probabilistic model, and a TIRS (Topological Information Retrieval System) model. Proofs for the results are appended. (17…
Descriptors: Documentation, Information Retrieval, Mathematical Formulas, Models

Petry, Frederick E.; Cobb, Maria A. – Journal of the American Society for Information Science, 1998
Presents a model for representing and storing binary topological and directional relationships between 2-dimensional objects that is used to provide a basis for fuzzy querying capabilities. A data structure called an abstract spatial graph (ASG) is defined for the binary relationships that maintains all necessary information regarding topology and…
Descriptors: Geometry, Graphs, Information Sources, Information Storage