Recently, an increasing number of information retrieval studies have triggered a resurgence of interest in redefining the algorithmic estimation of relevance, which implies a shift from topical to multidimensional relevance assessment. A key underlying aspect that emerged when addressing this concept is the aggregation of the relevance assessments related to each of the considered dimensions. The most commonly adopted forms of aggregation are based on classical weighted means and linear combination schemes to address this issue. Although some initiatives were recently proposed, none was concerned with considering the inherent dependencies and interactions existing among the relevance criteria, as is the case in many real-life applications. In this article, we present a new fuzzy-based operator, called iAggregator, for multidimensional relevance aggregation. Its main originality, beyond its ability to model interactions between different relevance criteria, lies in its generalization of many classical aggregation functions. To validate our proposal, we apply our operator within a tweet search task. Experiments using a standard benchmark, namely, Text REtrieval Conference Microblog, 1 emphasize the relevance of our contribution when compared with traditional aggregation schemes. In addition, it outperforms state-of-the-art aggregation operators such as the Scoring and the And prioritized operators as well as some representative learning-to-rank algorithms.
IntroductionMulticriteria aggregation is an issue that has been thoroughly addressed in social choice (Arrow, 1974;Condorcet, 1785;Fishburn, 1972), engineering design (Keeney & Raiffa, 1993;Neumann & Morgenstern, 1953), and computer vision applications (Dubois & Prade, 2004;Torra, 2005), to cite but a few. The multicriteria aggregation arises when for a given task there are several alternatives that have to be ordered with respect to different criteria and we are faced with the problem of combining them to figure out a ranking over the set of alternatives. The need to aggregate several inputs into a single representative output allowed successful applications of aggregation functions to fields as diverse as information retrieval (IR) (Farah & Vanderpooten, 2007) multiple criteria decision analysis (Grabisch, Kojadinovic, & Meyer, 2008;Steuer, 1986), data fusion (Ah-Pine, 2008;Vogt & Cottrell, 1999), and database retrieval (Le Calvè & Savoy, 2000). In this article, we are more interested in the IR field. Because ranking and relevance are at the heart of IR systems (Hawking, Craswell, Bailey, & Griffiths, 2001), a great deal of research has triggered a resurgence of interest in revisiting the concept of relevance considering several criteria. In fact, many of the proposed state-of-the-art early IR models rank documents by computing single scores separately with respect to one single objective criterion, rather than considering other relevance dimensions encompassing contextual features with respect to users or documents (Borlund, 2003). This most commonly used crit...