Editors:
- Presents cutting-edge findings concerning the representability of ordered structures
- Describes key examples for applications in economics and social sciences
- Offers a multidisciplinary perspective on utility theory
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 263)
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Table of contents (19 chapters)
About this book
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.
Keywords
- Order-preserving functions
- Continuous utility function
- Semiorder separability condition
- Fuzzy Preference Relations
- Numerical representability of total pre-orders
- Utility analysis in economics
- Intuitionistic fuzzy sets
- Extension of Preferences
- Interval-valued Representability
- Ghanshyam B. Mehta
- Multiutility representations
- Order topology
- Algebraic ordered structures
- Utility theory in social choice
- Interval order representations
- Weak utility function
- Families of biorders
- Disconnected g-natural topology
- Convexity of preferences
- mathematical finance
Editors and Affiliations
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Dipartimento di Scienze Economiche, Aziendali, Matematiche e Statistiche, Università degli Studi di Trieste, Trieste, Italy
Gianni Bosi
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Departamento de Estadística, Informática y Matemáticas, Universidad Pública de Navarra, Pamplona, Spain
María J. Campión, Esteban Indurain
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Facultad de Economía y Empresa, Departamento de Análisis Económico, Universidad de Zaragoza, Zaragoza, Spain
Juan C. Candeal
Bibliographic Information
Book Title: Mathematical Topics on Representations of Ordered Structures and Utility Theory
Book Subtitle: Essays in Honor of Professor Ghanshyam B. Mehta
Editors: Gianni Bosi, María J. Campión, Juan C. Candeal, Esteban Indurain
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-030-34226-5
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-34225-8Published: 24 January 2020
Softcover ISBN: 978-3-030-34228-9Published: 24 January 2021
eBook ISBN: 978-3-030-34226-5Published: 23 January 2020
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XXII, 368
Number of Illustrations: 43 b/w illustrations, 3 illustrations in colour
Topics: Computational Intelligence, Financial Mathematics, Operations Research/Decision Theory, Order, Lattices, Ordered Algebraic Structures
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