C. J. Van-rijsbergen, A non-classical logic for information retrieval, The Computer Journal, vol.29, issue.6, pp.481-485, 1986.
DOI : 10.1093/comjnl/29.6.481

J. Nie, An outline of a general model for information retrieval systems, Proceedings of the 11th annual international ACM SIGIR conference on Research and development in information retrieval , SIGIR '88, pp.495-506, 1988.
DOI : 10.1145/62437.62493

J. Nie, An information retrieval model based on modal logic, Information Processing & Management, vol.25, issue.5, pp.477-491, 1989.
DOI : 10.1016/0306-4573(89)90019-8

J. Y. Nie, Towards a probabilistic modal logic for semantic-based information retrieval, Proceedings of the 15th annual international ACM SIGIR conference on Research and development in information retrieval , SIGIR '92, pp.140-151, 1992.
DOI : 10.1145/133160.133188

Y. Chiaramella and J. P. Chevallet, About Retrieval Models and Logic, The Computer Journal, vol.35, issue.3, pp.233-242, 1992.
DOI : 10.1093/comjnl/35.3.233
URL : https://hal.archives-ouvertes.fr/hal-00953824

C. Meghini, F. Sebastiani, U. Straccia, and C. Thanos, A model of information retrieval based on a terminological logic, Proceedings of the 16th annual international ACM SIGIR conference on Research and development in information retrieval , SIGIR '93, pp.298-307, 1993.
DOI : 10.1145/160688.160753

F. Sebastiani, A Probabilistic Terminological Logic for Modelling Information Retrieval, Proceedings of the 17th annual international ACM SIGIR conference on Research and development in information retrieval. SIGIR '94, pp.122-130, 1994.
DOI : 10.1007/978-1-4471-2099-5_13

J. P. Chevallet and Y. Chiaramella, Experiences in information retrieval modelling using structured formalisms and modal logic Information Retrieval: Uncertainty and Logics, pp.39-72, 1998.

F. Crestani and M. Lalmas, Logic and uncertainty in information retrieval, Proceedings of the Third European Summer-School on Lectures on Information Retrieval-Revised Lectures. ESSIR '00, pp.179-206, 2001.

D. E. Losada and A. Barreiro, A Logical Model for Information Retrieval based on Propositional Logic and Belief Revision, The Computer Journal, vol.44, issue.5, pp.410-424, 2001.
DOI : 10.1093/comjnl/44.5.410

K. Abdulahhad, J. P. Chevallet, and C. Berrut, The Effective Relevance Link between a Document and a Query, Database and Expert Systems Applications, pp.206-218, 2012.
DOI : 10.1007/978-3-642-32600-4_16
URL : https://hal.archives-ouvertes.fr/hal-00767056

K. H. Knuth, Deriving Laws from Ordering Relations, AIP Conference Proceedings, pp.204-235, 2003.
DOI : 10.1063/1.1751368
URL : http://arxiv.org/abs/physics/0403031

K. H. Knuth, Lattice duality: The origin of probability and entropy, Neurocomputing, vol.67, pp.245-274, 2005.
DOI : 10.1016/j.neucom.2004.11.039

S. Dominich, The Modern Algebra of Information Retrieval. 1 edn, 2008.

S. E. Robertson, THE PROBABILITY RANKING PRINCIPLE IN IR, Journal of Documentation, vol.33, issue.4, pp.294-304, 1977.
DOI : 10.1108/eb026647

D. Hiemstra and A. P. Vries, Relating the new language models of information retrieval to the traditional retrieval models, 2000.

V. Lavrenko and W. B. Croft, Relevance based language models, Proceedings of the 24th annual international ACM SIGIR conference on Research and development in information retrieval , SIGIR '01, pp.120-127, 2001.
DOI : 10.1145/383952.383972
URL : http://ciir.cs.umass.edu/~lavrenko/pub/RelevanceModels.pdf

S. E. Robertson and K. S. Jones, Relevance weighting of search terms, Journal of the American Society for Information Science, vol.30, issue.3, pp.129-146, 1976.
DOI : 10.1002/asi.4630270302