Interpolation of the extended Boolean retrieval model

摘要

An interpolation theorem for the p-norm model, 1⩽p⩽∞, of Salton, Fox, and Wu for extended Boolean document retrieval is stated and proven. This result asserts roughly that whenever two or more documents are similarly ranked at any two points along the p-continuum with respect to this model for either an AND or an OR query containing exactly two terms, then they are similarly ranked at all points in between. An analogous result can fail for queries with more than two terms and an example is given to show this.