The Classical Decision Problem

The Classical Decision Problem

Author: Egon Börger

Publisher: Springer Science & Business Media

Published: 2001-08-28

Total Pages: 500

ISBN-13: 9783540423249

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This book offers a comprehensive treatment of the classical decision problem of mathematical logic and of the role of the classical decision problem in modern computer science. The text presents a revealing analysis of the natural order of decidable and undecidable cases and includes a number of simple proofs and exercises.


Solving Complex Decision Problems

Solving Complex Decision Problems

Author: Rudolf Grünig

Publisher: Springer

Published: 2017-06-13

Total Pages: 196

ISBN-13: 3662538148

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Making decisions is certainly the most important task managers are faced with, and it is often a very difficult one. This book offers a procedure for solving complex decision problems step by step. Unlike other texts, the book focuses on problem analysis, on developing potential solutions, and on establishing a decision-making matrix. In this fourth edition of the book, published under a new title, the authors present simplified, actionable guidelines that can be easily applied to the individual steps in the heuristic process. The book is intended for decision-makers at companies, non-profit organizations and in public administration whose work involves complex problems. It will also benefit students and participants in executive courses.


Give Yourself a Nudge

Give Yourself a Nudge

Author: Ralph L. Keeney

Publisher: Cambridge University Press

Published: 2020-04-23

Total Pages: 279

ISBN-13: 1108803989

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The best way to improve your quality of life is through the decisions you make. This book teaches several fundamental decision-making skills, provides numerous applications and examples, and ultimately nudges you toward smarter decisions. These nudges frame more desirable decisions for you to face by identifying the objectives for your decisions and generating superior alternatives to those initially considered. All of the nudges are based on psychology and behavioral economics research and are accessible to all readers. The new concept of a decision opportunity is introduced, which involves creating a decision that you desire to face. Solving a decision opportunity improves your life, whereas resolving a decision problem only restores the quality of your life to that before the decision problem occurred. We all can improve our decision-making and reap the better quality of life that results. This book shows you how.


Statistical Decision Problems

Statistical Decision Problems

Author: Michael Zabarankin

Publisher: Springer Science & Business Media

Published: 2013-12-16

Total Pages: 254

ISBN-13: 1461484715

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Statistical Decision Problems presents a quick and concise introduction into the theory of risk, deviation and error measures that play a key role in statistical decision problems. It introduces state-of-the-art practical decision making through twenty-one case studies from real-life applications. The case studies cover a broad area of topics and the authors include links with source code and data, a very helpful tool for the reader. In its core, the text demonstrates how to use different factors to formulate statistical decision problems arising in various risk management applications, such as optimal hedging, portfolio optimization, cash flow matching, classification, and more. The presentation is organized into three parts: selected concepts of statistical decision theory, statistical decision problems, and case studies with portfolio safeguard. The text is primarily aimed at practitioners in the areas of risk management, decision making, and statistics. However, the inclusion of a fair bit of mathematical rigor renders this monograph an excellent introduction to the theory of general error, deviation, and risk measures for graduate students. It can be used as supplementary reading for graduate courses including statistical analysis, data mining, stochastic programming, financial engineering, to name a few. The high level of detail may serve useful to applied mathematicians, engineers, and statisticians interested in modeling and managing risk in various applications.


Decision Procedures

Decision Procedures

Author: Daniel Kroening

Publisher: Springer Science & Business Media

Published: 2008-05-23

Total Pages: 314

ISBN-13: 3540741046

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A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrates on decision procedures for first-order theories that are commonly used in automated verification and reasoning, theorem-proving, compiler optimization and operations research. The techniques described in the book draw from fields such as graph theory and logic, and are routinely used in industry. The authors introduce the basic terminology of satisfiability modulo theories and then, in separate chapters, study decision procedures for each of the following theories: propositional logic; equalities and uninterpreted functions; linear arithmetic; bit vectors; arrays; pointer logic; and quantified formulas.


Fuzzy Preference Ordering of Interval Numbers in Decision Problems

Fuzzy Preference Ordering of Interval Numbers in Decision Problems

Author: Atanu Sengupta

Publisher: Springer Science & Business Media

Published: 2009-03-13

Total Pages: 168

ISBN-13: 3540899146

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In conventional mathematical programming, coefficients of problems are usually determined by the experts as crisp values in terms of classical mathematical reasoning. But in reality, in an imprecise and uncertain environment, it will be utmost unrealistic to assume that the knowledge and representation of an expert can come in a precise way. The wider objective of the book is to study different real decision situations where problems are defined in inexact environment. Inexactness are mainly generated in two ways – (1) due to imprecise perception and knowledge of the human expert followed by vague representation of knowledge as a DM; (2) due to huge-ness and complexity of relations and data structure in the definition of the problem situation. We use interval numbers to specify inexact or imprecise or uncertain data. Consequently, the study of a decision problem requires answering the following initial questions: How should we compare and define preference ordering between two intervals?, interpret and deal inequality relations involving interval coefficients?, interpret and make way towards the goal of the decision problem? The present research work consists of two closely related fields: approaches towards defining a generalized preference ordering scheme for interval attributes and approaches to deal with some issues having application potential in many areas of decision making.


Successful Decision-making

Successful Decision-making

Author: Rudolf Grünig

Publisher: Springer Science & Business Media

Published: 2006-03-14

Total Pages: 236

ISBN-13: 3540275037

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Unlike other publications on decision making, the book focuses on discovering the problem, analyzing it and on developing and assessing solution options. One whole chapter describes a case study. It illustrates how the proposed decision making procedure is used in practice. Executives get an approach to systematically and successfully solving complex problems.


An Introduction to the Technique of Formative Processes in Set Theory

An Introduction to the Technique of Formative Processes in Set Theory

Author: Domenico Cantone

Publisher: Springer

Published: 2018-02-15

Total Pages: 161

ISBN-13: 3319747789

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This book presents an intuitive picture-oriented approach to the formative processes technique and to its applications. In the first part the authors introduce basic set-theoretic terminology and properties, the decision problem in set theory, and formative processes. The second part of the book is devoted to applications of the technique of formative processes to decision problems. All chapters contain exercises and the book is appropriate for researchers and graduate students in the area of computer science logic.