© 2020

Mathematical Topics on Representations of Ordered Structures and Utility Theory

Essays in Honor of Professor Ghanshyam B. Mehta

  • Gianni Bosi
  • María J. Campión
  • Juan C. Candeal
  • Esteban Indurain

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 263)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. General Utility Theory

    1. Front Matter
      Pages 1-1
    2. A. F. Beardon
      Pages 3-21
    3. María J. Campión, Esteban Indurain
      Pages 47-81
  3. Particular Kinds of Preferences and Representations

    1. Front Matter
      Pages 83-83
    2. Denis Bouyssou, Jean-Paul Doignon
      Pages 143-169
    3. C. Chis, H.-P. A. Künzi, M. Sanchis
      Pages 171-186
    4. Marta Cardin
      Pages 187-195
    5. Carlos Hervés-Beloso, Paulo K. Monteiro
      Pages 197-209
  4. Extensions of Utility

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. 


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

Editors and affiliations

  • Gianni Bosi
    • 1
  • María J. Campión
    • 2
  • Juan C. Candeal
    • 3
  • Esteban Indurain
    • 4
  1. 1.Dipartimento di Scienze Economiche, Aziendali, Matematiche e StatisticheUniversità degli Studi di TriesteTriesteItaly
  2. 2.Departamento de Estadística, Informática y MatemáticasUniversidad Pública de NavarraPamplonaSpain
  3. 3.Facultad de Economía y Empresa, Departamento de Análisis EconómicoUniversidad de ZaragozaZaragozaSpain
  4. 4.Departamento de Estadística, Informática y MatemáticasUniversidad Pública de NavarraPamplonaSpain

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