Extension of fuzzy Galois connection for information retrieval using a fuzzy quantifier

Summary form only given. We have proposed another approach for the logical model of IR, for the evaluation of the IR implication d /spl iexcl/! RQ in a fuzzy context. We transform the initial implication into a fuzzy implication and the matching process is modelled by the extension of the fuzzy Galois connection while considering a fuzzy quantifier. We want to implement a retrieval engine only based on the computation of this fuzzy Galois connection. Another research area we want to explore is a combination of the direct and reverse implication, as suggested by the initial general logic framework proposed by Nie. As work in progress, we propose to use the proposed extension of the fuzzy Galois connection in text mining to extract fuzzy association rules between terms and perform query expansion using these fuzzy associations between terms.

[1]  Jean-Pierre Chevallet,et al.  Un modèle logique de recherche d'informations appliqué au formalisme des graphes conceptuels : le prototype ELEN et son expérimentation sur un corpus de composants logiciels , 1992 .

[2]  B. Bouchon-Meunier,et al.  La logique floue et ses applications , 1995 .

[3]  Samir Elloumi,et al.  Galois Connection in Fuzzy Binary Relations, Applications for Discovering Association Rules and Decision Making , 2000, RelMiCS.

[4]  C. J. van Rijsbergen,et al.  A Non-Classical Logic for Information Retrieval , 1997, Comput. J..

[5]  V. Novák Fuzzy sets and their applications , 1989 .

[6]  Jean-Pierre Chevallet,et al.  About Retrieval Models and Logic , 1992, Comput. J..

[7]  Jian-Yun Nie Un modèle logique général pour les systèmes de recherche d'informations : application au prototype RIME. (A general logic model for information retrieval systems. Application to the prototype RIME) , 1990 .

[8]  Donald H. Kraft,et al.  Fuzzy Sets and Generalized Boolean Retrieval Systems , 1983, Int. J. Man Mach. Stud..

[9]  Didier Dubois,et al.  Extended Divisions for Flexible Queries in Relational Databases , 2000 .

[10]  Didier Dubois,et al.  Weighted minimum and maximum operations in fuzzy set theory , 1986, Inf. Sci..

[11]  Lotfi A. Zadeh,et al.  A COMPUTATIONAL APPROACH TO FUZZY QUANTIFIERS IN NATURAL LANGUAGES , 1983 .

[12]  Didier Dubois,et al.  The three semantics of fuzzy sets , 1997, Fuzzy Sets Syst..

[13]  Edward A. Fox,et al.  Research Contributions , 2014 .

[14]  Gerard Salton,et al.  Term-Weighting Approaches in Automatic Text Retrieval , 1988, Inf. Process. Manag..

[15]  L. Zadeh A COMPUTATIONAL APPROACH TO FUZZY QUANTIFIERS IN NATURAL LANGUAGES , 1983 .

[16]  Didier Dubois,et al.  Semantics of quotient operators in fuzzy relational databases , 1996, Fuzzy Sets Syst..

[17]  C. J. van Rijsbergen,et al.  A New Theoretical Framework for Information Retrieval , 1986, SIGIR Forum.

[18]  L. Beran,et al.  [Formal concept analysis]. , 1996, Casopis lekaru ceskych.

[19]  Radim Belohlávek,et al.  Fuzzy Galois Connections , 1999, Math. Log. Q..

[20]  Clement T. Yu,et al.  An Evaluation of Term Dependence Models in Information Retrieval , 1982, SIGIR.

[21]  Tadeusz Radecki,et al.  Fuzzy set theoretical approach to document retrieval , 1979, Inf. Process. Manag..