Author: Kossuth Lajos Tudományegyetem. Matematikai Intézet
Entscheidungen unter Unsicherheit können mit dem üblichen Erwartungsnutzenkonzept häufig nicht angemessen modelliert werden, da die zugrunde liegenden Informationen den wahrscheinlichkeitstheoretischen Anforderungen nicht genügen. Ansätze der "beschränkten Rationalität" erscheinen dagegen oft willkürlich, da die Kriterien ihrer Anwendbarkeit fehlen. Die Modellierung von Unsicherheit mit Fuzzy-Mengen, die hier in einer maßtheoretischen Interpretation verwendet werden, erlaubt eine Verallgemeinerung der Rationalitätsbedingungen, die viele dieser Ansätze als Spezialfälle enthält. Eine Anwendung bei Social Choice Problemen zeigt das Potential des Ansatzes zur Erklärung und Verbesserung der Verfahren kollektiver Entscheidungen.
Die Anwendung von Fuzzy-Methoden in der Entscheidungstheorie
Author: Notburga Ott
Category: Business & Economics
Proceedings of the Conference held at Evanston, October 11-15, 1975
Author: D. Zelinsky
This book consists of papers written by outstanding mathematicians. It deals with both theoretical and applied aspects of the mathematical contributions of BANACH, ULAM, and OSTROWSKI, which broaden the horizons of Functional Analysis, Approximation Theory, and Numerical Analysis in accordance with contemporary mathematical standards. Contents:On a Conditional Cauchy Equation on Rhombuses (C Alsina & J-L Carcia-Roig)Optimization of Functionals and Application to Differential Equations (P C Bhakta)On a Generalization of the Golab-Schinzel Functional Equation (N Brillouet-Belluot)On Shape from Shading Problem (J Chabrowski & K Zhang)Error Estimate in Non-Equi-Mesh Spline Finite Strip Method for Thin Plate Bending Problem (C Q Wu & Z H Wang)Asymptotic Behavior of Dynamical Systems and Processes on Banach Infinite Dimensional Spaces (A F Izé)Some Characterization Problems in Hilbert Space (R G Laha)On Banach Algebras of the Potential Differential and Pseudodifferential Operators (I E Pleshchinskaya & N E Pleshchinskii)On the Extended Ostrowski Constant (J M Rassias)An Interpretation of Gegenbauer Polynomials and Their Generalization for the Case with Many Variables (A Yanushauskas)The Uniqueness and Existence of Solution and Normal Boundary Condition for Thin Plate Bending Problem (Z H Wang & C Q Wu)Landau's Type Inequalities (J M Rassias)and other papers Readership: Students and researchers in mathematics. keywords:Functional Analysis;Approximation Theory;Numerical Analysis;Dedication
Author: John M Rassias
Publisher: World Scientific
This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non linear optimization and optimization applications. They are mainly the im proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con trol problem.
Author: Xiao-qi Yang,Kok Lay Teo,Lou Caccetta
Publisher: Springer Science & Business Media
This book aims to provide a comprehensive review of the contribution of network analysis to the understanding of tourism destinations and organizations. Theoretical and methodological aspects are discussed along with a series of applications. While this is a relatively new approach in the tourism literature, in other social and natural sciences network analysis has a long tradition and has provided important insights for the knowledge of the structure and the dynamics of many complex systems. The study of network structures, both from a quantitative and qualitative point of view, can deliver a number of useful outcomes also for the analysis of tourism destinations and organizations.
From Theory to Practice
Author: Noel Scott,Rodolfo Baggio,Prof. Chris Cooper
Publisher: Channel View Publications
Category: Business & Economics
The functional equation of associativity is the topic of Abel's first contribution to Crelle's Journal. Seventy years later, it was featured as the second part of Hilbert's Fifth Problem, and it was solved under successively weaker hypotheses by Brouwer (1909), Cartan (1930) and Aczel (1949). In 1958, B Schweizer and A Sklar showed that the ?triangular norms? introduced by Menger in his definition of a probabilistic metric space should be associative; and in their book Probabilistic Metric Spaces, they presented the basic properties of such triangular norms and the closely related copulas. Since then, the study of these two classes of functions has been evolving at an ever-increasing pace and the results have been applied in fields such as statistics, information theory, fuzzy set theory, multi-valued and quantum logic, hydrology, and economics, in particular, risk analysis.This book presents the foundations of the subject of associative functions on real intervals. It brings together results that have been widely scattered in the literature and adds much new material. In the process, virtually all the standard techniques for solving functional equations in one and several variables come into play. Thus, the book can serve as an advanced undergraduate or graduate text on functional equations.
Triangular Norms and Copulas
Author: Claudi Alsina,Berthold Schweizer,Maurice J. Frank
Publisher: World Scientific
Networks can provide a useful model and graphic image useful for the description of a wide variety of web-like structures in the physical and man-made realms, e.g. protein networks, food webs and the Internet. The contributions gathered in the present volume provide both an introduction to, and an overview of, the multifaceted phenomenology of complex networks. Statistical Mechanics of Complex Networks also provides a state-of-the-art picture of current theoretical methods and approaches.
Author: Romualdo Pastor-Satorras,Miguel Rubi,Albert Diaz-Guilera
Publisher: Springer Science & Business Media
Master modern web and network data modeling: both theory and applications. In Web and Network Data Science, a top faculty member of Northwestern University’s prestigious analytics program presents the first fully-integrated treatment of both the business and academic elements of web and network modeling for predictive analytics. Some books in this field focus either entirely on business issues (e.g., Google Analytics and SEO); others are strictly academic (covering topics such as sociology, complexity theory, ecology, applied physics, and economics). This text gives today's managers and students what they really need: integrated coverage of concepts, principles, and theory in the context of real-world applications. Building on his pioneering Web Analytics course at Northwestern University, Thomas W. Miller covers usability testing, Web site performance, usage analysis, social media platforms, search engine optimization (SEO), and many other topics. He balances this practical coverage with accessible and up-to-date introductions to both social network analysis and network science, demonstrating how these disciplines can be used to solve real business problems.
Modeling Techniques in Predictive Analytics
Author: Thomas W. Miller
Publisher: FT Press
The theory of functional equations has been developed in a rapid and productive way in the second half of the Twentieth Century. First of all, this is due to the fact that the mathematical applications raised the investigations of newer and newer types of functional equations. At the same time, the self development of this theory was also very fruitful. This can be followed in many monographs that treat and discuss the various methods and approaches. These developments were also essentially influenced by a number jour nals, for instance, by the Publicationes Mathematicae Debrecen (founded in 1953) and by the Aequationes Mathematicae (founded in 1968), be cause these journals published papers from the field of functional equa tions readily and frequently. The latter journal also publishes the yearly report of the International Symposia on Functional Equations and a comprehensive bibliography of the most recent papers. At the same time, there are periodically and traditionally organized conferences in Poland and in Hungary devoted to functional equations and inequali ties. In 2000, the 38th International Symposium on Functional Equations was organized by the Institute of Mathematics and Informatics of the University of Debrecen in Noszvaj, Hungary. The report about this meeting can be found in Aequationes Math. 61 (2001), 281-320.
Author: Zoltan Daroczy,Zsolt Páles
Publisher: Springer Science & Business Media
This monograph presents for the first time the foundations of Hamilton Geometry. The concept of Hamilton Space, introduced by the first author and investigated by the authors, opens a new domain in differential geometry with large applications in mechanics, physics, optimal control, etc. The book consists of thirteen chapters. The first three chapters present the topics of the tangent bundle geometry, Finsler and Lagrange spaces. Chapters 4-7 are devoted to the construction of geometry of Hamilton spaces and the duality between these spaces and Lagrange spaces. The dual of a Finsler space is a Cartan space. Even this notion is completely new, its geometry has the same symmetry and beauty as that of Finsler spaces. Chapter 8 deals with symplectic transformations of cotangent bundle. The last five chapters present, for the first time, the geometrical theory and applications of Higher-Order Hamilton spaces. In particular, the case of order two is presented in detail. Audience: mathematicians, geometers, physicists, and mechanicians. This volume can also be recommended as a supplementary graduate text.
Author: R. Miron,Dragos Hrimiuc,Sorin V. Sabau,Hideo Shimada
Publisher: Springer Science & Business Media
The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. L. Chebyshev, even though special cases were introduced earlier by Legendre, Hermite, Jacobi, Laguerre, and Chebyshev himself. It was further developed by A. A. Markov, T. J. Stieltjes, and many other mathematicians. The book by Szego, originally published in 1939, is the first monograph devoted to the theory of orthogonal polynomials and its applications in many areas, including analysis, differential equations, probability and mathematical physics. Even after all the years that have passed since the book first appeared, and with many other books on the subject published since then, this classic monograph by Szego remains an indispensable resource both as a textbook and as a reference book. It can be recommended to anyone who wants to be acquainted with this central topic of mathematical analysis.
Author: Gabor Szeg
Publisher: American Mathematical Soc.
Written by an international team of leading scholars, this groundbreaking reference work explores the nature of language change and diffusion, and paves the way for future research in this rapidly expanding interdisciplinary field. Features 35 newly-written essays from internationally acclaimed experts that reflect the growth and vitality of the burgeoning area of historical sociolinguistics Examines how sociolinguistic theoretical models, methods, findings, and expertise can be used to reconstruct a language's past in order to explain linguistic changes and developments Bridges the gap between the past and the present in linguistic studies Structured thematically into sections exploring: origins and theoretical assumptions; methods for the sociolinguistic study of the history of languages; linguistic and extra-linguistic variables; historical dialectology, language contact and diffusion; and attitudes to language
Author: Juan Manuel Hernández-Campoy,Juan Camilo Conde-Silvestre
Publisher: John Wiley & Sons
Category: Language Arts & Disciplines
The Art of Computer Programming, Volume 4A: Combinatorial Algorithms, Part 1 Knuth’s multivolume analysis of algorithms is widely recognized as the definitive description of classical computer science. The first three volumes of this work have long comprised a unique and invaluable resource in programming theory and practice. Scientists have marveled at the beauty and elegance of Knuth’s analysis, while practicing programmers have successfully applied his “cookbook” solutions to their day-to-day problems. The level of these first three volumes has remained so high, and they have displayed so wide and deep a familiarity with the art of computer programming, that a sufficient “review” of future volumes could almost be: “Knuth, Volume n has been published.” —Data Processing Digest Knuth, Volume n has been published, where n = 4A. In this long-awaited new volume, the old master turns his attention to some of his favorite topics in broadword computation and combinatorial generation (exhaustively listing fundamental combinatorial objects, such as permutations, partitions, and trees), as well as his more recent interests, such as binary decision diagrams. The hallmark qualities that distinguish his previous volumes are manifest here anew: detailed coverage of the basics, illustrated with well-chosen examples; occasional forays into more esoteric topics and problems at the frontiers of research; impeccable writing peppered with occasional bits of humor; extensive collections of exercises, all with solutions or helpful hints; a careful attention to history; implementations of many of the algorithms in his classic step-by-step form. There is an amazing amount of information on each page. Knuth has obviously thought long and hard about which topics and results are most central and important, and then, what are the most intuitive and succinct ways of presenting that material. Since the areas that he covers in this volume have exploded since he first envisioned writing about them, it is wonderful how he has managed to provide such thorough treatment in so few pages. —Frank Ruskey, Department of Computer Science, University of Victoria The book is Volume 4A, because Volume 4 has itself become a multivolume undertaking. Combinatorial searching is a rich and important topic, and Knuth has too much to say about it that is new, interesting, and useful to fit into a single volume, or two, or maybe even three. This book alone includes approximately 1500 exercises, with answers for self-study, plus hundreds of useful facts that cannot be found in any other publication. Volume 4A surely belongs beside the first three volumes of this classic work in every serious programmer’s library. Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. Check out the boxed set that brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually. The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e ISBN: 0321751043
Author: Donald E. Knuth
Publisher: Addison-Wesley Professional
This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; and more. Second, revised 1976 edition.
Presentations of Groups in Terms of Generators and Relations
Author: Wilhelm Magnus,Abraham Karrass,Donald Solitar
Publisher: Courier Corporation
Health systems everywhere are expected to meet increasing public and political demands for accessible, high-quality care. Policy-makers, managers, and clinicians use their best efforts to improve efficiency, safety, quality, and economic viability. One solution has been to mimic approaches that have been shown to work in other domains, such as quality management, lean production, and high reliability. In the enthusiasm for such solutions, scant attention has been paid to the fact that health care as a multifaceted system differs significantly from most traditional industries. Solutions based on linear thinking in engineered systems do not work well in complicated, multi-stakeholder non-engineered systems, of which health care is a leading example. A prerequisite for improving health care and making it more resilient is that the nature of everyday clinical work be well understood. Yet the focus of the majority of policy or management solutions, as well as that of accreditation and regulation, is work as it ought to be (also known as ‘work-as-imagined’). The aim of policy-makers and managers, whether the priority is safety, quality, or efficiency, is therefore to make everyday clinical work - or work-as-done - comply with work-as-imagined. This fails to recognise that this normative conception of work is often oversimplified, incomplete, and outdated. There is therefore an urgent need to better understand everyday clinical work as it is done. Despite the common focus on deviations and failures, it is undeniable that clinical work goes right far more often than it goes wrong, and that we only can make it better if we understand how this happens. This second volume of Resilient Health Care continues the line of thinking of the first book, but takes it further through a range of chapters from leading international thinkers on resilience and health care. Where the first book provided the rationale and basic concepts of RHC, the Resilience of Everyday Clinical Work breaks new ground by analysing everyday work situations in primary, secondary, and tertiary care to identify and describe the fundamental strategies that clinicians everywhere have developed and use with a fluency that belies the demands to be resolved and the dilemmas to be balanced. Because everyday clinical work is at the heart of resilience, it is essential to appreciate how it functions, and to understand its characteristics.
The Resilience of Everyday Clinical Work
Author: Robert L. Wears,Erik Hollnagel,Jeffrey Braithwaite
Publisher: Ashgate Publishing, Ltd.
Category: Political Science
Connections among different assets, asset classes, portfolios, and the stocks of individual institutions are critical in examining financial markets. Interest in financial markets implies interest in underlying macroeconomic fundamentals. In Financial and Macroeconomic Connectedness, Frank Diebold and Kamil Yilmaz propose a simple framework for defining, measuring, and monitoring connectedness, which is central to finance and macroeconomics. These measures of connectedness are theoretically rigorous yet empirically relevant. The approach to connectedness proposed by the authors is intimately related to the familiar econometric notion of variance decomposition. The full set of variance decompositions from vector auto-regressions produces the core of the 'connectedness table.' The connectedness table makes clear how one can begin with the most disaggregated pair-wise directional connectedness measures and aggregate them in various ways to obtain total connectedness measures. The authors also show that variance decompositions define weighted, directed networks, so that these proposed connectedness measures are intimately related to key measures of connectedness used in the network literature. After describing their methods in the first part of the book, the authors proceed to characterize daily return and volatility connectedness across major asset (stock, bond, foreign exchange and commodity) markets as well as the financial institutions within the U.S. and across countries since late 1990s. These specific measures of volatility connectedness show that stock markets played a critical role in spreading the volatility shocks from the U.S. to other countries. Furthermore, while the return connectedness across stock markets increased gradually over time the volatility connectedness measures were subject to significant jumps during major crisis events. This book examines not only financial connectedness, but also real fundamental connectedness. In particular, the authors show that global business cycle connectedness is economically significant and time-varying, that the U.S. has disproportionately high connectedness to others, and that pairwise country connectedness is inversely related to bilateral trade surpluses.
A Network Approach to Measurement and Monitoring
Author: Francis X. Diebold,Kamil Yilmaz
Publisher: Oxford University Press
Category: Business & Economics
This book constitutes the refereed proceedings of the 11th International Symposium on Experimental Algorithms, SEA 2012, held Bordeaux, France, in June 2012. The 31 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 64 submissions and present current research in the area of design, analysis, and experimental evaluation and engineering of algorithms, as well as in various aspects of computational optimization and its applications.
11th International Symposium, SEA 2012, Bordeaux, France, June 7-9, 2012. Proceedings
Author: Ralf Klasing