Foundations Of Measurement Geometrical Threshold And Probabilistic Representations

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Foundations of Measurement: Geometrical, threshold, and probabilistic representations

Patrick Suppes,David H. Krantz
Foundations of Measurement Geometrical threshold and probabilistic representations Book PDF

Author : Patrick Suppes,David H. Krantz
Publisher : Courier Corporation
Page : 514 pages
File Size : 43,7 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 9780486453156

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Foundations of Measurement: Geometrical, threshold, and probabilistic representations by Patrick Suppes,David H. Krantz Pdf

All of the sciences―physical, biological, and social―have a need for quantitative measurement. This influential series, Foundations of Measurement, established the formal foundations for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence. Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance.

Foundations of Measurement: Representation, axiomatization, and invariance

Robert Duncan Luce,Patrick Suppes,David H. Krantz
Foundations of Measurement Representation axiomatization and invariance Book PDF

Author : Robert Duncan Luce,Patrick Suppes,David H. Krantz
Publisher : Courier Corporation
Page : 386 pages
File Size : 49,9 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 9780486453163

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Foundations of Measurement: Representation, axiomatization, and invariance by Robert Duncan Luce,Patrick Suppes,David H. Krantz Pdf

All of the sciences — physical, biological, and social — have a need for quantitative measurement. This influential series, Foundations of Measurement, established the formal basis for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence. Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance.

Foundations of Measurement

David H. Krantz,Patrick Suppes,R Duncan Luce
Foundations of Measurement Book PDF

Author : David H. Krantz,Patrick Suppes,R Duncan Luce
Publisher : Academic Press
Page : 384 pages
File Size : 48,7 Mb
Release : 1971
Category : Science
ISBN : CORNELL:31924052077819

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Foundations of Measurement by David H. Krantz,Patrick Suppes,R Duncan Luce Pdf

"A classic series in the field of quantitative measurement, Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance. 1971 edition." -- Publisher.

Additive and Polynomial Representations

David H. Krantz,Patrick Suppes,R. Duncan Luce
Additive and Polynomial Representations Book PDF

Author : David H. Krantz,Patrick Suppes,R. Duncan Luce
Publisher : Courier Corporation
Page : 626 pages
File Size : 44,6 Mb
Release : 2006-12-01
Category : Mathematics
ISBN : 9780486453149

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Additive and Polynomial Representations by David H. Krantz,Patrick Suppes,R. Duncan Luce Pdf

All of the sciences — physical, biological, and social — have a need for quantitative measurement. This influential series, Foundations of Measurement, established the formal foundations for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence. Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance.

Geometric Representations of Perceptual Phenomena

R. Duncan Luce,Donald D. Hoffman,Michael D'Zmura,Geoffrey Iverson,A. Kimball Romney
Geometric Representations of Perceptual Phenomena Book PDF

Author : R. Duncan Luce,Donald D. Hoffman,Michael D'Zmura,Geoffrey Iverson,A. Kimball Romney
Publisher : Psychology Press
Page : 371 pages
File Size : 53,7 Mb
Release : 2013-05-13
Category : Psychology
ISBN : 9781134789467

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Geometric Representations of Perceptual Phenomena by R. Duncan Luce,Donald D. Hoffman,Michael D'Zmura,Geoffrey Iverson,A. Kimball Romney Pdf

Based on a conference held in honor of Professor Tarow Indow, this volume is organized into three major topics concerning the use of geometry in perception: * space -- referring to attempts to represent the subjective space within which we locate ourselves and perceive objects to reside; * color -- dealing with attempts to represent the structure of color percepts as revealed by various experimental procedures; and * scaling -- focusing on the organization of various bodies of data -- in this case perceptual -- through scaling techniques, primarily multidimensional ones. These topics provide a natural organization of the work in the field, as well as one that corresponds to the major aspects of Indow's contributions. This book's goal is to provide the reader with an overview of the issues in each of the areas, and to present current results from the laboratories of leading researchers in these areas.

Mathematical Topics on Representations of Ordered Structures and Utility Theory

Gianni Bosi,María J. Campión,Juan C. Candeal,Esteban Indurain
Mathematical Topics on Representations of Ordered Structures and Utility Theory Book PDF

Author : Gianni Bosi,María J. Campión,Juan C. Candeal,Esteban Indurain
Publisher : Springer Nature
Page : 376 pages
File Size : 44,6 Mb
Release : 2020-01-23
Category : Technology & Engineering
ISBN : 9783030342265

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Mathematical Topics on Representations of Ordered Structures and Utility Theory by Gianni Bosi,María J. Campión,Juan C. Candeal,Esteban Indurain Pdf

This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.

Measurement and Representation of Sensations

Hans Colonius,Ehtibar N. Dzhafarov
Measurement and Representation of Sensations Book PDF

Author : Hans Colonius,Ehtibar N. Dzhafarov
Publisher : Psychology Press
Page : 255 pages
File Size : 47,6 Mb
Release : 2013-05-13
Category : Psychology
ISBN : 9781136871795

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Measurement and Representation of Sensations by Hans Colonius,Ehtibar N. Dzhafarov Pdf

Measurement and Representation of Sensations offers a glimpse into the most sophisticated current mathematical approaches to psychophysical problems. In this book, editors Hans Colonius and Ehtibar N. Dzhafarov, top scholars in the field, present a broad spectrum of innovative approaches and techniques to classical problems in psychophysics at different levels of stimulus complexity. The chapters emphasize rigorous mathematical constructions to define psychophysical concepts and relate them to observable phenomena. The techniques presented, both deterministic and probabilistic, are all original and recent. Subjects addressed throughout the six chapters of this volume include: *computing subjective distances from discriminability; *a new psychophysical theory of intensity judgments; *computing subjective distances from two discriminability functions; *an alternative to the model-building approach based on observable probabilities; and *possible forms of perceptual separability developed within a generalization of General Recognition Theory. Measurement and Representation of Sensations is a valuable text for both behavioral scientists and applied mathematicians.

Measurement across the Sciences

Luca Mari,Mark Wilson,Andrew Maul
Measurement across the Sciences Book PDF

Author : Luca Mari,Mark Wilson,Andrew Maul
Publisher : Springer Nature
Page : 287 pages
File Size : 50,9 Mb
Release : 2021-05-01
Category : Science
ISBN : 9783030655587

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Measurement across the Sciences by Luca Mari,Mark Wilson,Andrew Maul Pdf

This book proposes a conceptual framework for understanding measurement across a broad range of scientific fields and areas of application, such as physics, engineering, education, and psychology. The authors, who themselves span these disciplines, argue that the justification of the public trust attributed to measurement results can in principle apply identically to both physical and psychosocial properties. They further argue that the lack of a common conceptualization of measurement hampers interdisciplinary communication and limits the ability to share knowledge. They advance their views by first surveying the conceptual history of the philosophy of measurement and arguing that classical, operationalist and representational perspectives on measurement each make important contributions but also each have important shortcomings. A synthesis is then offered as the foundation for a new conceptual framework. The authors describe how the framework, which operates as a shared concept system, supports understanding measurement’s work in different domains, using examples in the physical and human sciences. They consider connections and consequences with respect to causality, objectivity, and intersubjectivity, among other topics, and how measurement science concepts and issues are construed across these disciplines and settings. They also address contemporary issues and controversies within measurement in the light of the framework, including operationalism, definitional uncertainty, and the relations between measurement and computation. The book concludes with a justification for the basic claim that measurement is an empirical and informational process that produces explicitly justifiable information. Researchers and academics across a wide range of disciplines including biological, physical, social and behavioral scientists, as well as specialists in measurement and philosophy will appreciate the work’s fresh and provocative approach to the field at a time when sound measurements of complex scientific systems are increasingly essential to solving critical global problems.

The Mathematics of Preference, Choice and Order

Steven Brams,William V. Gehrlein,Fred S. Roberts
The Mathematics of Preference Choice and Order Book PDF

Author : Steven Brams,William V. Gehrlein,Fred S. Roberts
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 42,8 Mb
Release : 2009-02-11
Category : Mathematics
ISBN : 9783540791287

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The Mathematics of Preference, Choice and Order by Steven Brams,William V. Gehrlein,Fred S. Roberts Pdf

Peter Fishburn has had a splendidly productive career that led to path-breaking c- tributions in a remarkable variety of areas of research. His contributions have been published in a vast literature, ranging through journals of social choice and welfare, decision theory, operations research, economic theory, political science, mathema- cal psychology, and discrete mathematics. This work was done both on an individual basis and with a very long list of coauthors. The contributions that Fishburn made can roughly be divided into three major topical areas, and contributions to each of these areas are identi?ed by sections of this monograph. Section 1 deals with topics that are included in the general areas of utility, preference, individual choice, subjective probability, and measurement t- ory. Section 2 covers social choice theory, voting models, and social welfare. S- tion 3 deals with more purely mathematical topics that are related to combinatorics, graph theory, and ordered sets. The common theme of Fishburn’s contributions to all of these areas is his ability to bring rigorous mathematical analysis to bear on a wide range of dif?cult problems.

International Encyclopedia of Geography, 15 Volume Set

Noel Castree,Michael F. Goodchild,Audrey Kobayashi,Weidong Liu,Richard A. Marston
International Encyclopedia of Geography 15 Volume Set Book PDF

Author : Noel Castree,Michael F. Goodchild,Audrey Kobayashi,Weidong Liu,Richard A. Marston
Publisher : John Wiley & Sons
Page : 8364 pages
File Size : 49,5 Mb
Release : 2017-03-20
Category : Science
ISBN : 9780470659632

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International Encyclopedia of Geography, 15 Volume Set by Noel Castree,Michael F. Goodchild,Audrey Kobayashi,Weidong Liu,Richard A. Marston Pdf

Representing the definitive reference work for this broad and dynamic field, The International Encyclopedia of Geography arises from an unprecedented collaboration between Wiley and the American Association of Geographers (AAG) to review and define the concepts, research, and techniques in geography and interrelated fields. Available as a robust online resource and as a 15-volume full-color print set, the Encyclopedia assembles a truly global group of scholars for a comprehensive, authoritative overview of geography around the world. Contains more than 1,000 entries ranging from 1,000 to 10,000 words offering accessible introductions to basic concepts, sophisticated explanations of complex topics, and information on geographical societies around the world Assembles a truly global group of more than 900 scholars hailing from over 40 countries, for a comprehensive, authoritative overview of geography around the world Provides definitive coverage of the field, encompassing human geography, physical geography, geographic information science and systems, earth studies, and environmental science Brings together interdisciplinary perspectives on geographical topics and techniques of interest across the social sciences, humanities, science, and medicine Features full color throughout the print version and more than 1,000 illustrations and photographs Annual updates to online edition

Measurement With Persons

Birgitta Berglund,Giovanni B. Rossi,James T. Townsend,Leslie R. Pendrill
Measurement With Persons Book PDF

Author : Birgitta Berglund,Giovanni B. Rossi,James T. Townsend,Leslie R. Pendrill
Publisher : Psychology Press
Page : 423 pages
File Size : 43,6 Mb
Release : 2013-05-13
Category : Psychology
ISBN : 9781136723742

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Measurement With Persons by Birgitta Berglund,Giovanni B. Rossi,James T. Townsend,Leslie R. Pendrill Pdf

Measurements with persons are those in which human perception and interpretation are used for measuring complex, holistic quantities and qualities, which are perceived by the human brain and mind. Providing means for reproducible measurement of parameters such as pleasure and pain has important implications in evaluating all kind of products, services, and conditions. This book inaugurates a new era for this subject: a multi- and inter-disciplinary volume in which world-renowned scientists from the psychological, physical, biological, and social sciences reach a common understanding of measurement theory and methods. In the first section, generic theoretical and methodological issues are treated, including the conceptual basis of measurement in the various fields involved; the development of formal, representational, and probabilistic theories; the approach to experimentation; and the theories, models, and methods for multidimensional problems. In the second section, several implementation areas are presented, including sound, visual, skin, and odor perception, functional brain imagining, body language and emotions, and, finally, the use of measurements in decision making Measurement with Persons will appeal to a wide audience across a range of sciences, including general psychology and psychophysics, measurement theory, metrology and instrumentation, neurophysiology, engineering, biology, and chemistry.

Towards the Future of Fuzzy Logic

Rudolf Seising,Enric Trillas,Janusz Kacprzyk
Towards the Future of Fuzzy Logic Book PDF

Author : Rudolf Seising,Enric Trillas,Janusz Kacprzyk
Publisher : Springer
Page : 376 pages
File Size : 40,5 Mb
Release : 2015-05-26
Category : Technology & Engineering
ISBN : 9783319187501

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Towards the Future of Fuzzy Logic by Rudolf Seising,Enric Trillas,Janusz Kacprzyk Pdf

This book provides readers with a snapshot of the state-of-the art in fuzzy logic. Throughout the chapters, key theories developed in the last fifty years as well as important applications to practical problems are presented and discussed from different perspectives, as the authors hail from different disciplines and therefore use fuzzy logic for different purposes. The book aims at showing how fuzzy logic has evolved since the first theory formulation by Lotfi A. Zadeh in his seminal paper on Fuzzy Sets in 1965. Fuzzy theories and implementation grew at an impressive speed and achieved significant results, especially on the applicative side. The study of fuzzy logic and its practice spread all over the world, from Europe to Asia, America and Oceania. The editors believe that, thanks to the drive of young researchers, fuzzy logic will be able to face the challenging goals posed by computing with words. New frontiers of knowledge are waiting to be explored. In order to motivate young people to engage in the future development of fuzzy logic, fuzzy methodologies, fuzzy applications, etc., the editors invited a team of internationally respected experts to write the present collection of papers, which shows the present and future potentials of fuzzy logic from different disciplinary perspectives and personal standpoints.

Production and Cost Functions

Erkin Bairam
Production and Cost Functions Book PDF

Author : Erkin Bairam
Publisher : Routledge
Page : 140 pages
File Size : 45,9 Mb
Release : 2018-04-27
Category : Social Science
ISBN : 9781351768917

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Production and Cost Functions by Erkin Bairam Pdf

This title was first published in 2001. The objective of this book is to discuss specification and applications of new production, cost and profit functions. It is aimed at specialists in production, economic growth, costs, profits and applied econometrics in particular.

Generative Mental Processes and Cognitive Resources

U. Hecker,Stefan Dutke,Grzegorz Sedek
Generative Mental Processes and Cognitive Resources Book PDF

Author : U. Hecker,Stefan Dutke,Grzegorz Sedek
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Psychology
ISBN : 9789401143738

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Generative Mental Processes and Cognitive Resources by U. Hecker,Stefan Dutke,Grzegorz Sedek Pdf

In recent years, a booming research interest has been observed in linking basic cognitive processes with a variety of social and clinical phenomena. Evidence comes from the increasing popularity of psychological paradigms such as social cognition, cognitive psychopathology or cognitive aging. What links those paradigms is their special focus on explaining cognitive phenomena by use of the concept of mental resources. Immediate reasons for such a focus are found in the growing emphasis on understanding everyday dynamics of thinking and acting within a complex world, as well as within personal constraints. Obviously, our current goals and choice of activities constrain and influence our reasoning as well as the processes of input to and retrieval from memory. Situational demands will act to the same effect, and the interplay between both, internal and external constraints, makes apparent a first and straightforward relevance of the resource notion in action-oriented cognitive research. For example, person perception is a dynamic process depending on what my goals in perception are, what the perceiving situation is that I find myself in, and how complex the target characteristics are. In fact, the amount of resources spent in this process may be reflected in its speed, the quality of the perceptual or mnemonic trace which is being created, or the kind of social or non-social behavior that can be supported.

The Metaphysics of Quantities

J. E. Wolff
The Metaphysics of Quantities Book PDF

Author : J. E. Wolff
Publisher : Oxford University Press
Page : 224 pages
File Size : 52,8 Mb
Release : 2020-05-27
Category : Philosophy
ISBN : 9780192573940

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The Metaphysics of Quantities by J. E. Wolff Pdf

What are physical quantities, and in particular, what makes them quantitative? This book articulates and defends an original answer to this important, insufficiently understood question through the novel position of substantival structuralism. This position argues that quantitativeness is an irreducible feature of attributes, and quantitative attributes are best understood as substantival structured spaces. The book first explores what it means for an attribute to be quantitative, and what metaphysical implications a commitment to quantitative attributes has. It then sets the stage to address the metaphysical and ontological consequences of the existence of quantitative attributes.