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Fuzzy sets in information retrieval and cluster analysis
Book Reoiews
73
J. Alcamo, R. Shaw and L. Hordijk (eds.), i%e Rains hhdel 0: Acidification (Science and Strategies in Europe). Kluweq Qordrecht, 1990. 402 pp., Df2.200, USS117.50, U 07923-0781-X (HB); 07923-07g2-8 (PB). This book summarizes the results of IIASA (International Institute for Applied System Analysis) Acid Rain Project (1983-1988) in Europe. The work is focused mainly on the development of the RAINS (Regional Acidification Information and Simulation) model of Europe. The work has four main goals: (1) to provide scientific documentation for the RAINS model, (2) to record the methodology, (3) to report the findings, and (4) to report on policy findings from using the model. (WFA) P.A. Markowich, C.A. Ringbofer and C. Schmeiser, Semiconductor Equations. Springer, Wien, 1990. 248 pp., OS6f%, DM98, ISBN 3-211-82157-O. This book contains the first unified account of the currently used mathematical models for charge transport in semiconductor devices. It is focussed on a presentation of a hierarchy of models ranging from kinetic quantum transport equations to the classical drift diffusion equations. Particular emphasis is given to the derivation of the models, an analysis of the solution structure and an explanation of the most important devices. The relations between the different models and the physical assumptions needed for their respective validity are clarified. The book addresses applied mathematicians, electrical engineers and solid state physicists. It is accessible to graduate students in each of the three fields, since mathematical details are replaced by references to the literature to a large extent. It provides a reference text for researchers in the field as well as a tex.t for graduate courses and seminars. (WFA)
W.H. Janko, M. Roubens and H.J. Zimmerman (eds.), Progress in Fuzzy Sets and Systems. Kluwer, Dordrecht, 1990. 188 pp., Dff.150, US$87, UKE54, ISBN O-7923-0730-5. This volume of 15 papers constitutes the proceedings of the Second Joint IFSA-EC and EUR,O-WGFS Workshop in Fuzzy Sets held in Vienna. The papers covered a variety of areas such as medical applications, circuit design, psychology and theory. (WFA)
S. Miyamoto, Fuzzy Sets in Information Retrievaland Cluster Analysis. Kluwer, Dordrecht, 1990. 259 pp., Dfl.159, US$99, UK&4, ISBN o-7923-0721-6. This monograph develops methods of information retrieval and hierarchical cluster analysis based on fuzzy set theory, thereby establishing a solid link between these fields. The link consists of mathematical models for formulating and solving problems in these applications. The way mathematical models are posed is somewhat different from that adhered to in current method-
74
Book Reviews
ological studies in information retrieval and clustering, although the fuzzy set models will cast new light on previous methods in these fields. Methods developed in the book are presented in a self-contained way, and consequently the content is readily accessible to readers with no background in fuzzy set theory. It is also possible to grasp intuitively how fuzzy sets are used in information retrieval and cluster analysis, by considering fuzzy graphs and their levels of reachability. Information retrieval means, primarily, bibliographic information retrieval, although more complicated kinds of information retrieval can be dealt with by the same methods. Retrieval and clustering are therefore interrelated and the author explains and analyzes this relation in great detail. Four principal groups of readers are assumed: researchers or students interested in (i) applications of fuzzy sets, (ii) theory of information retrieval or bibliographic databases, (iii) hierarchical clustering, and (iv) applications of methods in systems science. WFA)
G.W. Stewart and J. Sun, Matrix Perturbu~ion Theory. Academic Press, Boston, 1990. 365 pp., UMX39.95,ISBN 0-12-670230-6. Although some perturbation expansions are given in this volume, it is chiefly concerned with perturbation bounds. A perturbation bound starts with a bound on a perturbation in the argument - the perturbations are often called errors - and uses it to bound the resulting error in the function. This is the technique in the widespread use of backward rounding error analysis. A second reason for the development of bounds is that they often give insight into the behavior of a functicn of a matrix under perturbation. Contents: (1) Preliminaries (2) Norms and Matrices (3) Linear Systems and Least Square Problems (4) The Perturbation of Eigenvalues (5) IIlVZlkiASi.l'sSpaC~s (6) Generalized Eigenvalue Bounds References Notation Index.
WW S.S. Horuzhy, lntrodrrctionto Algebraic Quantum Field Theory, Mafhelmatics and its Applications (soviet Series). Kkwer, Dordrccht, 1 .3O: pp., DfL260, US$135, !JBiEU, ISBN 90-277-2722-8. This volume presents, for the first time, a systematic introduction to the algebraic approach to quantum field theory. The structure of the contents corresponds to the way the subject has advanced. It is shown how the algebraic approach has developed from the purely axiomatic theory of observables via superselection rules into the dynamical formalism of fields and
73
J. Alcamo, R. Shaw and L. Hordijk (eds.), i%e Rains hhdel 0: Acidification (Science and Strategies in Europe). Kluweq Qordrecht, 1990. 402 pp., Df2.200, USS117.50, U 07923-0781-X (HB); 07923-07g2-8 (PB). This book summarizes the results of IIASA (International Institute for Applied System Analysis) Acid Rain Project (1983-1988) in Europe. The work is focused mainly on the development of the RAINS (Regional Acidification Information and Simulation) model of Europe. The work has four main goals: (1) to provide scientific documentation for the RAINS model, (2) to record the methodology, (3) to report the findings, and (4) to report on policy findings from using the model. (WFA) P.A. Markowich, C.A. Ringbofer and C. Schmeiser, Semiconductor Equations. Springer, Wien, 1990. 248 pp., OS6f%, DM98, ISBN 3-211-82157-O. This book contains the first unified account of the currently used mathematical models for charge transport in semiconductor devices. It is focussed on a presentation of a hierarchy of models ranging from kinetic quantum transport equations to the classical drift diffusion equations. Particular emphasis is given to the derivation of the models, an analysis of the solution structure and an explanation of the most important devices. The relations between the different models and the physical assumptions needed for their respective validity are clarified. The book addresses applied mathematicians, electrical engineers and solid state physicists. It is accessible to graduate students in each of the three fields, since mathematical details are replaced by references to the literature to a large extent. It provides a reference text for researchers in the field as well as a tex.t for graduate courses and seminars. (WFA)
W.H. Janko, M. Roubens and H.J. Zimmerman (eds.), Progress in Fuzzy Sets and Systems. Kluwer, Dordrecht, 1990. 188 pp., Dff.150, US$87, UKE54, ISBN O-7923-0730-5. This volume of 15 papers constitutes the proceedings of the Second Joint IFSA-EC and EUR,O-WGFS Workshop in Fuzzy Sets held in Vienna. The papers covered a variety of areas such as medical applications, circuit design, psychology and theory. (WFA)
S. Miyamoto, Fuzzy Sets in Information Retrievaland Cluster Analysis. Kluwer, Dordrecht, 1990. 259 pp., Dfl.159, US$99, UK&4, ISBN o-7923-0721-6. This monograph develops methods of information retrieval and hierarchical cluster analysis based on fuzzy set theory, thereby establishing a solid link between these fields. The link consists of mathematical models for formulating and solving problems in these applications. The way mathematical models are posed is somewhat different from that adhered to in current method-
74
Book Reviews
ological studies in information retrieval and clustering, although the fuzzy set models will cast new light on previous methods in these fields. Methods developed in the book are presented in a self-contained way, and consequently the content is readily accessible to readers with no background in fuzzy set theory. It is also possible to grasp intuitively how fuzzy sets are used in information retrieval and cluster analysis, by considering fuzzy graphs and their levels of reachability. Information retrieval means, primarily, bibliographic information retrieval, although more complicated kinds of information retrieval can be dealt with by the same methods. Retrieval and clustering are therefore interrelated and the author explains and analyzes this relation in great detail. Four principal groups of readers are assumed: researchers or students interested in (i) applications of fuzzy sets, (ii) theory of information retrieval or bibliographic databases, (iii) hierarchical clustering, and (iv) applications of methods in systems science. WFA)
G.W. Stewart and J. Sun, Matrix Perturbu~ion Theory. Academic Press, Boston, 1990. 365 pp., UMX39.95,ISBN 0-12-670230-6. Although some perturbation expansions are given in this volume, it is chiefly concerned with perturbation bounds. A perturbation bound starts with a bound on a perturbation in the argument - the perturbations are often called errors - and uses it to bound the resulting error in the function. This is the technique in the widespread use of backward rounding error analysis. A second reason for the development of bounds is that they often give insight into the behavior of a functicn of a matrix under perturbation. Contents: (1) Preliminaries (2) Norms and Matrices (3) Linear Systems and Least Square Problems (4) The Perturbation of Eigenvalues (5) IIlVZlkiASi.l'sSpaC~s (6) Generalized Eigenvalue Bounds References Notation Index.
WW S.S. Horuzhy, lntrodrrctionto Algebraic Quantum Field Theory, Mafhelmatics and its Applications (soviet Series). Kkwer, Dordrccht, 1 .3O: pp., DfL260, US$135, !JBiEU, ISBN 90-277-2722-8. This volume presents, for the first time, a systematic introduction to the algebraic approach to quantum field theory. The structure of the contents corresponds to the way the subject has advanced. It is shown how the algebraic approach has developed from the purely axiomatic theory of observables via superselection rules into the dynamical formalism of fields and