Construction of weak and strong similarity measures for ordered sets of documents using fuzzy set techniques

Ordered sets of documents are encountered more and more in information distribution systems, such as information retrieval systems (IRS). Classical similarity measures for ordinary sets of documents hence need to be extended to these ordered sets. This is done in this paper using fuzzy set techniques. First a general similarity measure is developed which contains the classical strong similarity measures such as Jaccard, Dice, Cosine and which contains the classical weak similarity measures such as Recall and Precision.