An Imprecision-based Language for the Web

In this paper, we introduce a fuzzy language to extract information from the web extending the web query language WebSQL [1]. These extensions are based on two observations: the inadequacy of traditional Boolean query languages for web documents, and the need to move beyond the notion of query providing just a set of answers in order to provide a better data presentation through answers' restructuring. In order to address the first issue, we consider fuzzy sets to express imprecision in data, queries and answers. In our case, data imprecision comes from the data classification provided by several search engines. Query imprecision occurs in weighting values provided at query definition time. Answer imprecision allows to filter and rank the answers. To address the second point, we provide an answer restructuring language to model the restructuring phase that follows the query phase. The restructuring language allows creation/deletion of links and page creation. Thus several answer organizations are possible as a result to the same query. The resulting language extends in a uniform framework WebSQL. Then we provide a mapping for the language constructs into an extended relational algebra called SAME^W[2] expressing similarity-based queries over imprecisely classified data, queries involving navigation among web pages and answer restructurings. Finally, we study the optimization of similarity-based queries using equivalence and containment rules holding for SAME^Wand presenting several algorithms for query evaluation.