A Mathematical Theory Of Hints

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A Mathematical Theory Of Hints

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Author : Juerg Kohlas
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

A Mathematical Theory Of Hints written by Juerg Kohlas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Business & Economics categories.

An approach to the modeling of and the reasoning under uncertainty. The book develops the Dempster-Shafer Theory with regard to the reliability of reasoning with uncertain arguments. Of particular interest here is the development of a new synthesis and the integration of logic and probability theory. The reader benefits from a new approach to uncertainty modeling which extends classical probability theory.

A Mathematical Theory Of Hints

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Author : Jürg Kohlas
language : en
Publisher:
Release Date : 1990

A Mathematical Theory Of Hints written by Jürg Kohlas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.

A Mathematical Theory Of Hints

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Author : Jürg Kohlas
language : en
Publisher:
Release Date : 1878

A Mathematical Theory Of Hints written by Jürg Kohlas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1878 with Economics, Mathematical categories.

A Mathematical Theory Of Hints

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Author : Jürg Kohlas
language : en
Publisher:
Release Date : 1904

A Mathematical Theory Of Hints written by Jürg Kohlas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1904 with Economics, Mathematical categories.

A Mathematical Theory Of Arguments For Statistical Evidence

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Author : Paul-Andre Monney
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18

A Mathematical Theory Of Arguments For Statistical Evidence written by Paul-Andre Monney and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Business & Economics categories.

The subject of this book is the reasoning under uncertainty based on sta tistical evidence, where the word reasoning is taken to mean searching for arguments in favor or against particular hypotheses of interest. The kind of reasoning we are using is composed of two aspects. The first one is inspired from classical reasoning in formal logic, where deductions are made from a knowledge base of observed facts and formulas representing the domain spe cific knowledge. In this book, the facts are the statistical observations and the general knowledge is represented by an instance of a special kind of sta tistical models called functional models. The second aspect deals with the uncertainty under which the formal reasoning takes place. For this aspect, the theory of hints [27] is the appropriate tool. Basically, we assume that some uncertain perturbation takes a specific value and then logically eval uate the consequences of this assumption. The original uncertainty about the perturbation is then transferred to the consequences of the assumption. This kind of reasoning is called assumption-based reasoning. Before going into more details about the content of this book, it might be interesting to look briefly at the roots and origins of assumption-based reasoning in the statistical context. In 1930, R. A. Fisher [17] defined the notion of fiducial distribution as the result of a new form of argument, as opposed to the result of the older Bayesian argument.

Knots And Surfaces

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Author : David W. Farmer
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Knots And Surfaces written by David W. Farmer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.

In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book leads the reader on to discover some real mathematics. There are no formulas to memorize; no procedures to follow. This book is a guide to the mathematics - it starts you in the right direction and brings you back if you stray too far. Discovery is left to you. This book is aimed at undergraduates and those with little background knowledge of mathematics.

Formal Theories Of Information

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Author : Giovanni Sommaruga
language : en
Publisher: Springer
Release Date : 2009-04-07

Formal Theories Of Information written by Giovanni Sommaruga and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-07 with Computers categories.

It is commonly assumed that computers process information. But what is inf- mation? In a technical, important, but nevertheless rather narrow sense, Sh- non’sinformationtheorygivesa?rstanswertothisquestion.Thistheoryfocuses on measuring the information content of a message. Essentially this measure is the reduction of the uncertainty obtained by receiving a message. The unc- tainty of a situation of ignorance in turn is measured by entropy. This theory hashad an immense impact on the technologyof information storage,data c- pression, information transmission and coding and still is a very active domain of research. Shannon’s theory has also attractedmuch interest in a more philosophic look at information, although it was readily remarked that it is only a “syntactic” theory of information and neglects “semantic” issues. Several attempts have been made in philosophy to give information theory a semantic ?avor, but still mostly based on or at least linked to Shannon’s theory. Approaches to semantic informationtheoryalsoveryoftenmakeuseofformallogic.Thereby,information is linked to reasoning, deduction and inference, as well as to decision making. Further, entropy and related measure were soon found to have important connotations with regard to statistical inference. Surely, statistical data and observation represent information, information about unknown, hidden para- ters. Thus a whole branch of statistics developed around concepts of Shannon’s information theory or derived from them. Also some proper measurements - propriate for statistics, like Fisher’s information, were proposed.

Classic Works Of The Dempster Shafer Theory Of Belief Functions

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Author : Ronald R. Yager
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-22

Classic Works Of The Dempster Shafer Theory Of Belief Functions written by Ronald R. Yager and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-22 with Mathematics categories.

This is a collection of classic research papers on the Dempster-Shafer theory of belief functions. The book is the authoritative reference in the field of evidential reasoning and an important archival reference in a wide range of areas including uncertainty reasoning in artificial intelligence and decision making in economics, engineering, and management. The book includes a foreword reflecting the development of the theory in the last forty years.

Modeling Estimation And Control Of Systems With Uncertainty

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Author : G.B. DiMasi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-12

Modeling Estimation And Control Of Systems With Uncertainty written by G.B. DiMasi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-12 with Social Science categories.

This volume contains the papers that have been presented at the Conference on Modeling and Control of Uncertain Systems held in Sopron, Hungary on September 3-7, 1990, organised within the framework of the activities of the System and Decision Sciences Program of IIASA - the International Institute for Applied Systems Analysis. The importance of the subject has drawn the attention of researchers all over the world since several years. In fact, in most actual applications the knowledge about the system under investigation presents aspects of uncertainty due to measurement errors or poor understanding of the rele vant underlying mechanisms. For this reason models that take into account these intrinsic uncertainties have been used and techniques for the analysis of their behavior as well as for their estimation and control have been devel oped. The main ways to deal with uncertainty consist in its description by stochastic processes or in terms of set-valued dynamics and this volume col lects relevant contributions in both directions. However, in order to avoid undesirable distinctions between these approaches, but on the contrary to stress the unity of ideas, we decided to organize the papers according to the alphabetical order of their authors. We should like to take this opportunity to thank IIASA for supporting the Conference and the Hungarian National Member Organization for the kind hospitality in Sopron. Finally we would like to express our gratitude to Ms. Donna Huchthausen for her valuable secretarial assistance. Vienna, February 20, 1991 GIOVANNI B.

System Modelling And Optimization

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Author : J. Dolezal
language : en
Publisher: Springer
Release Date : 2013-06-05

System Modelling And Optimization written by J. Dolezal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Computers categories.

Proceedings volume contains carefully selected papers presented during the 17th IFIP Conference on System Modelling and Optimization. Optimization theory and practice, optimal control, system modelling, stochastic optimization, and technical and non-technical applications of the existing theory are among areas mostly addressed in the included papers. Main directions are treated in addition to several survey papers based on invited presentations of leading specialists in the respective fields. Publication provides state-of-the-art in the area of system theory and optimization and points out several new areas (e.g fuzzy set, neural nets), where classical optimization topics intersects with computer science methodology.