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Relevance judgment in Information Retrieval is influenced by multiplefactors. These include not only the topicality of the documents but also otheruser oriented factors like trust, user interest, etc. Recent works haveidentified these various factors into seven dimensions of relevance. In aprevious work, these relevance dimensions were quantified and user's cognitivestate with respect to a document was represented as a state vector in a HilbertSpace, with each relevance dimension representing a basis. It was observed thatrelevance dimensions are incompatible in some documents, when making ajudgment. Incompatibility being a fundamental feature of Quantum Theory, thismotivated us to test the Quantum nature of relevance judgments using Bell typeinequalities. However, none of the Bell-type inequalities tested have shown anyviolation. We discuss our methodology to construct incompatible basis fordocuments from real world query log data, the experiments to test Bellinequalities on this dataset and possible reasons for the lack of violation.

Investigating Bell Inequalities for Multidimensional Relevance Judgments in Information Retrieval