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Bookstein, Abraham – Information Processing and Management, 1975
Discusses the modelling of library circulation systems. (PF)
Descriptors: Library Circulation, Mathematical Models
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Tahani, Valiollah – Information Processing and Management, 1976
This paper is concerned with the organization and retrieval of records in document retrieval systems which admit of imprecision in the form of fuzziness in document characterization and retrieval rules. A mathematical model for such systems, based on the theory of fuzzy sets, is introduced. (Author)
Descriptors: Information Retrieval, Information Systems, Mathematical Models
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Chen, Ye-Sho; Leimkuhler, Ferdinand F. – Information Processing and Management, 1987
This analysis of Zipf's law uses an index for the sequence of observed values of the variables in a Zipf-type relationship. Three important properties relating rank, count, and frequency are identified, shapes of Zipf-type curves are described, and parameters of the Mandelbrot-Zipf law are discussed. (Author/LRW)
Descriptors: Indexing, Mathematical Models, Predictor Variables, Statistical Distributions
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Radecki, Tadeusz – Information Processing and Management, 1976
The application of the theory of fuzzy sets to the description of information retrieval systems makes it possible (1) to take into account the fact that the degree of importance of the particular terms is of a continuous character, (2) to formalize the relations between terms describing documents and information requests (fuzzy thesaurus).…
Descriptors: Information Retrieval, Mathematical Models, Set Theory, Thesauri
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Egghe, Leo; Rousseau, Ronald – Information Processing and Management, 1993
Studies the evolution of information production processes and their relation to the Lorenz dominance order as a theoretical framework for bibliometrics. The relation between the total number of sources, the total number of items, the average production, and the maximum production are examined. Geometric illustrations are provided. (Contains 14…
Descriptors: Bibliometrics, Mathematical Formulas, Mathematical Models, Vectors (Mathematics)
Peer reviewed Peer reviewed
Gebhardt, Friedrich – Information Processing and Management, 1975
The model assumes that the relevance assigned to a document by a juror is a random variable. (PF)
Descriptors: Information Retrieval, Mathematical Models, Probability, Relevance (Information Retrieval)
Peer reviewed Peer reviewed
Buell, Duncan A. – Information Processing and Management, 1981
Discusses several query-processing methods designed to allow the use of relevance weights or thresholds attached to terms and compares them with normal Boolean rules and fuzzy subset theory. Forty-five references are listed. (FM)
Descriptors: Information Retrieval, Mathematical Models, Online Systems, Search Strategies
Peer reviewed Peer reviewed
Egghe, L. – Information Processing and Management, 1992
Discusses information production processes (IPP)--i.e., continuous mathematical models of production processes such as bibliographies, economic production processes, and social usages of words in a text--from the point of view of concentration theory. Gini's index is studied in the dual framework of IPPs. (27 references) (LRW)
Descriptors: Information Science, Mathematical Formulas, Mathematical Models, Measurement Techniques
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Cater, Steven C.; Kraft, Donald H. – Information Processing and Management, 1989
Describes the Waller-Kraft "wish list" of desired information retrieval system properties and identifies ambiguities caused by two distinct uses of the phrase "query term weight." Examples of problems arising from the ambiguity are given and a new list is created and discussed. (10 references) (Author/CLB)
Descriptors: Definitions, Functions (Mathematics), Information Retrieval, Mathematical Models
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Tague-Sutcliffe, Jean – Information Processing and Management, 1992
Defines the scope and significance of the field of informetrics and relates it to the earlier fields of bibliometrics and scientometrics. Practical and theoretical aspects of informetrics are discussed, including the development of mathematical models and the derivation of measures; and a brief overview of articles in this issue is included. (15…
Descriptors: Bibliometrics, Information Retrieval, Information Science, Mathematical Models
Peer reviewed Peer reviewed
Bird, P. R. – Information Processing and Management, 1975
False drops occur in a system of random superimposed coding for edge-notched, punched, and feature cards. Formulae for the false dropping fraction are derived, and figures and tables are given for the calculated values in the most popular scheme. (Author/LS)
Descriptors: Data Processing, Information Retrieval, Information Storage, Information Systems
Peer reviewed Peer reviewed
Guy, Louis-Gavet – Information Processing and Management, 1977
A new method for concentrating keywords of a thesaurus, based on a mathematical study of the distribution of characters in a defined natural language. (Author/KP)
Descriptors: Computer Programs, Databases, Information Retrieval, Information Storage
Peer reviewed Peer reviewed
Nie, Jianyun – Information Processing and Management, 1989
Argues that most currently used information retrieval models are unsuitable to describe recent techniques such as semantic based retrieval. A more general model is presented in which the basis for information retrieval is viewed as logical implication and the estimation of the correspondence between queries and documents is described in terms of…
Descriptors: Evaluation Criteria, Information Retrieval, Logic, Mathematical Models
Peer reviewed Peer reviewed
Colby, Latha S.; And Others – Information Processing and Management, 1994
Presents the list-structure data model for dealing with sets of objects, which has ordering as its fundamental principle. An extended notion of patterns and several operators of the algebra are presented. Design issues that influenced the development of the language are described. (Contains 30 references.) (KRN)
Descriptors: Algebra, Databases, Information Processing, Information Retrieval
Peer reviewed Peer reviewed
Rousseau, Ronald – Information Processing and Management, 1992
This article offers comments and clarifications of Egghe's paper, which dealt with information production processes (IPP) and the Gini index. Topics addressed include the length of the Lorenz curve as a concentration measure, the discrete duality operator, and a Bradford-Leimkuhler distribution. (10 references) (LRW)
Descriptors: Information Science, Mathematical Formulas, Mathematical Models, Measurement Techniques
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