Fuzzy set theory, which started not much more than 20 years ago as a generalization of classical set theory, has in the meantime evolved into an area which scientifically, as well as from the point of view of applications, is recognized as a very valuable contribution to the existing knowledge. This book provides a remarkable contribution to Fuzzy Economics and presents the state of the art in fuzzy theory of value, namely the aggregated model of microeconomics with fuzzy behaviours. It presents an analysis of classical problems with new tools which lead to interesting results.
Fuzzy set theory, which started not much more than 20 years ago as a generalization of classical set theory, has in the meantime evolved into an area which scientifically, as well as from the point of view of applications, is recognized as a very valuable contribution to the existing knowledge. This book provides a remarkable contribution to Fuzzy Economics and presents the state of the art in fuzzy theory of value, namely the aggregated model of microeconomics with fuzzy behaviours. It presents an analysis of classical problems with new tools which lead to interesting results.
General Introduction.- 1 Individual Fuzzy Relation of Preference.- 1.1 The Fuzzy Binary Relation of Preference.- 1.2 The Indifference Paradox.- 1.3 Fuzzy Utility Function on a Countable Set.- 1.4 Fuzzy Utility Function on a Convex Set.- 1.5 A New Proof for Fuzzy Utility.- 2 Aggregation of Fuzzy Preferences.- 2.1 Arrovian Dictator and Fuzzy Preferences.- 2.2 Fuzzy Coalitions and Democracy.- Annexes.- 3 Fuzzy Games.- 4 Fuzzy General Equilibrium.- 5 Underemployment Fuzzy Equilibrium.- 6 Fuzzy Economics: An Overview.- General Conclusion.- References.
General Introduction.- 1 Individual Fuzzy Relation of Preference.- 1.1 The Fuzzy Binary Relation of Preference.- 1.2 The Indifference Paradox.- 1.3 Fuzzy Utility Function on a Countable Set.- 1.4 Fuzzy Utility Function on a Convex Set.- 1.5 A New Proof for Fuzzy Utility.- 2 Aggregation of Fuzzy Preferences.- 2.1 Arrovian Dictator and Fuzzy Preferences.- 2.2 Fuzzy Coalitions and Democracy.- Annexes.- 3 Fuzzy Games.- 4 Fuzzy General Equilibrium.- 5 Underemployment Fuzzy Equilibrium.- 6 Fuzzy Economics: An Overview.- General Conclusion.- References.
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