Mathematical Topics on Representations of Ordered Structures and Utility Theory

Beschreibung

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. 

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. 

Autor*in

Gianni Bosi

Themen in »Mathematical Topics on Representations of Ordered Structures and Utility Theory«

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

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