The Modern Algebra of Information Retrieval

Mathematics Basics.- Elements of Lattice Theory.- Basics of Information Retrieval Technology.- Lattice-Based Retrieval Systems.- Boolean Retrieval.- Lattices of Subspaces and Projectors.- Vector Space Retrieval.- Fuzzy Algebra-Based Retrieval.- Probabilistic Retrieval.- Web Retrieval and Ranking.

Sándor Dominich is the George Pólya Professor of Computer Science, Head of the Information Retrieval Research Group, and Deputy Dean of the Faculty of Information Technology of the University of Pannonia, Veszprém, Hungary. His research interests include retrieval models, formal aspects, foundations, effectiveness measurement, and applications. He authored three books, including "Mathematical Foundations of Information Retrieval" (Springer, 2001) and over seventy research papers. He is a founding co-organiser of the ACM SIGIR MF/IR Workshop series 2000-2005, and ICTIR International Conference 2007 (both together with C.J. van Rijsbergen). He has served as a programme committee member of major Information Retrieval conferences.

From the reviews:

From the reviews:

"... this book offers a unique approach to the important topic of information retrieval by providing mathematical foundations based on modern algebra... I can easily recommend this book as a reference for any of the technical IR courses offered at several universities." from the ACM Reviews by Donald H. Kraft, Louisiana State University, USA

"Retrieval methods and information retrieval in general are here treated in a unified manner within abstract algebraic structures ... . Each chapter is supplemented with exercises and problems (with hints to solutions in the appendix) ... . The book is beneficial both for better understanding the existing information retrieval methods and for the creation of new ones." (Antonín Ríha, Zentralblatt MATH, Vol. 1149, 2008) "This book treats retrieval methods ... and IR in general in a unified manner within the one formal framework of modern algebra, namely abstract algebraic structures (primarily lattices). ... Exercises and problems are located at the end of every chapter ... . the book should be helpful for a wide range of readers from graduate students and educators to researchers and system developers coming from a variety of fields such as computer science ... . Every chapter concludes with a References and further reading section." (John S. Griffin, SIGACT News, Vol. 41 (1), 2010)