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Author: Marc Pirlot
Publisher: Springer Science & Business Media
ISBN: 940158883X
Category : Business & Economics
Languages : en
Pages : 197
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Book Description
Semiorder is probably one of the most frequently ordered structures in science. It naturally appears in fields like psychometrics, economics, decision sciences, linguistics and archaeology. It explicitly takes into account the inevitable imprecisions of scientific instruments by allowing the replacement of precise numbers by intervals. The purpose of this book is to dissect this structure and to study its fundamental properties. The main subjects treated are the numerical representations of semiorders, the generalizations of the concept to valued relations, the aggregation of semiorders and their basic role in a general theoretical framework for multicriteria decision-aid methods. Audience: This volume is intended for students and researchers in the fields of decision analysis, management science, operations research, discrete mathematics, classification, social choice theory, and order theory, as well as for practitioners in the design of decision tools.
Author: Anatol Rapoport
Publisher: Springer Science & Business Media
ISBN: 9401578400
Category : Business & Economics
Languages : en
Pages : 439
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Book Description
This book presents the content of a year's course in decision processes for third and fourth year students given at the University of Toronto. A principal theme of the book is the relationship between normative and descriptive decision theory. The distinction between the two approaches is not clear to everyone, yet it is of great importance. Normative decision theory addresses itself to the question of how people ought to make decisions in various types of situations, if they wish to be regarded (or to regard themselves) as 'rational'. Descriptive decision theory purports to describe how people actually make decisions in a variety of situations. Normative decision theory is much more formalized than descriptive theory. Especially in its advanced branches, normative theory makes use of mathematicallanguage, mode of discourse, and concepts. For this reason, the definitions of terms encountered in normative decision theory are precise, and its deductions are rigorous. Like the terms and assertions of other branches of mathematics, those of mathematically formalized decision theory need not refer to anything in the 'real', i. e. the observable, world. The terms and assertions can be interpreted in the context of models of real li fe situations, but the verisimilitude of the models is not important. They are meant to capture only the essentials of adecision situation, which in reallife may be obscured by complex details and ambiguities. It is these details and ambiguities, however, that may be crucial in determining the outcomes of the decisions.
Author: I.R. Goodman
Publisher: Springer Science & Business Media
ISBN: 9780792346746
Category : Mathematics
Languages : en
Pages : 538
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Book Description
Data fusion or information fusion are names which have been primarily assigned to military-oriented problems. In military applications, typical data fusion problems are: multisensor, multitarget detection, object identification, tracking, threat assessment, mission assessment and mission planning, among many others. However, it is clear that the basic underlying concepts underlying such fusion procedures can often be used in nonmilitary applications as well. The purpose of this book is twofold: First, to point out present gaps in the way data fusion problems are conceptually treated. Second, to address this issue by exhibiting mathematical tools which treat combination of evidence in the presence of uncertainty in a more systematic and comprehensive way. These techniques are based essentially on two novel ideas relating to probability theory: the newly developed fields of random set theory and conditional and relational event algebra. This volume is intended to be both an update on research progress on data fusion and an introduction to potentially powerful new techniques: fuzzy logic, random set theory, and conditional and relational event algebra. Audience: This volume can be used as a reference book for researchers and practitioners in data fusion or expert systems theory, or for graduate students as text for a research seminar or graduate level course.
Author: Martin Peterson
Publisher: Springer Science & Business Media
ISBN: 1402086997
Category : Science
Languages : en
Pages : 176
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Book Description
For quite some time, philosophers, economists, and statisticians have endorsed a view on rational choice known as Bayesianism. The work on this book has grown out of a feeling that the Bayesian view has come to dominate the academic com- nitytosuchanextentthatalternative,non-Bayesianpositionsareseldomextensively researched. Needless to say, I think this is a pity. Non-Bayesian positions deserve to be examined with much greater care, and the present work is an attempt to defend what I believe to be a coherent and reasonably detailed non-Bayesian account of decision theory. The main thesis I defend can be summarised as follows. Rational agents m- imise subjective expected utility, but contrary to what is claimed by Bayesians, ut- ity and subjective probability should not be de?ned in terms of preferences over uncertain prospects. On the contrary, rational decision makers need only consider preferences over certain outcomes. It will be shown that utility and probability fu- tions derived in a non-Bayesian manner can be used for generating preferences over uncertain prospects, that support the principle of maximising subjective expected utility. To some extent, this non-Bayesian view gives an account of what modern - cision theory could have been like, had decision theorists not entered the Bayesian path discovered by Ramsey, de Finetti, Savage, and others. I will not discuss all previous non-Bayesian positions presented in the literature.
Author: Eyke Hüllermeier
Publisher: Springer Science & Business Media
ISBN: 1402056958
Category : Computers
Languages : en
Pages : 384
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Book Description
Making use of different frameworks of approximate reasoning and reasoning under uncertainty, notably probabilistic and fuzzy set-based techniques, this book develops formal models of the above inference principle, which is fundamental to CBR. The case-based approximate reasoning methods thus obtained especially emphasize the heuristic nature of case-based inference and aspects of uncertainty in CBR.
Author: Norman Schofield
Publisher: Springer Science & Business Media
ISBN: 9401587671
Category : Political Science
Languages : en
Pages : 430
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Book Description
In the last decade the techniques of social choice theory, game theory and positive political theory have been combined in interesting ways so as to pro vide a common framework for analyzing the behavior of a developed political economy. Social choice theory itself grew out of the innovative attempts by Ken neth Arrow (1951) and Duncan Black (1948, 1958) to extend the range of economic theory in order to deal with collective decision-making over public goods. Later work, by William Baumol (1952), and James Buchanan and Gordon Tullock (1962), focussed on providing an "economic" interpretation of democratic institutions. In the same period Anthony Downs (1957) sought to model representative democracy and elections while William Riker (1962) made use of work in cooperative game theory (by John von Neumann and Oscar Morgenstern, 1944) to study coalition behavior. In my view, these "rational choice" analyses of collective decision-making have their antecedents in the arguments of Adam Smith (1759, 1776), James Madison (1787) and the Marquis de Condorcet (1785) about the "design" of political institutions. In the introductory chapter to this volume I briefly describe how some of the current normative and positive aspects of social choice date back to these earlier writers.
Author: J. Baron
Publisher: Springer Science & Business Media
ISBN: 9780792322764
Category : Education
Languages : en
Pages : 226
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Book Description
This book develops and defends a version of utilitarianism, including expected-utility theory, as a normative model of decision making. The defense, based on the idea of utility as achievement of goals, considers the endorsement of a norm as a decision and asks what reasons we have to endorse norms for decision making. The reasons derive from our pre-existing goals, so any norm we endorse must not fly in the face of these goals, although it must not be selfishly biased, either. This approach is further clarified by drawing distinctions between decisions for the self, for a single other person, for several others, and for the self and others. The book discusses the implications of this argument for the psychological study of decision making, the act--omission distinction, moral education, decision analysis, risk analysis, and other questions of public policy. The final chapter sketches a prescriptive approach to group decision making.
Author: Igor Vajda
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 440
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Book Description
Author: Marc Pirlot
Publisher: Springer Science & Business Media
ISBN: 940158883X
Category : Business & Economics
Languages : en
Pages : 197
Get Book Here
Book Description
Semiorder is probably one of the most frequently ordered structures in science. It naturally appears in fields like psychometrics, economics, decision sciences, linguistics and archaeology. It explicitly takes into account the inevitable imprecisions of scientific instruments by allowing the replacement of precise numbers by intervals. The purpose of this book is to dissect this structure and to study its fundamental properties. The main subjects treated are the numerical representations of semiorders, the generalizations of the concept to valued relations, the aggregation of semiorders and their basic role in a general theoretical framework for multicriteria decision-aid methods. Audience: This volume is intended for students and researchers in the fields of decision analysis, management science, operations research, discrete mathematics, classification, social choice theory, and order theory, as well as for practitioners in the design of decision tools.
Author: W. Leinfellner
Publisher: Springer Science & Business Media
ISBN: 9401716544
Category : Business & Economics
Languages : en
Pages : 476
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Book Description
When von Neumann's and Morgenstern's Theory of Games and Economic Behavior appeared in 1944, one thought that a complete theory of strategic social behavior had appeared out of nowhere. However, game theory has, to this very day, remained a fast-growing assemblage of models which have gradually been united in a new social theory - a theory that is far from being completed even after recent advances in game theory, as evidenced by the work of the three Nobel Prize winners, John F. Nash, John C. Harsanyi, and Reinhard Selten. Two of them, Harsanyi and Selten, have contributed important articles to the present volume. This book leaves no doubt that the game-theoretical models are on the right track to becoming a respectable new theory, just like the great theories of the twentieth century originated from formerly separate models which merged in the course of decades. For social scientists, the age of great discover ies is not over. The recent advances of today's game theory surpass by far the results of traditional game theory. For example, modem game theory has a new empirical and social foundation, namely, societal experiences; this has changed its methods, its "rationality. " Morgenstern (I worked together with him for four years) dreamed of an encompassing theory of social behavior. With the inclusion of the concept of evolution in mathematical form, this dream will become true. Perhaps the new foundation will even lead to a new name, "conflict theory" instead of "game theory.
Author: Michel Grabisch
Publisher: Springer
ISBN: 3319306901
Category : Mathematics
Languages : en
Pages : 482
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Book Description
The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory.
