Fuzzy Choice Functions [electronic resource] :A Revealed Preference Approach / by Irina Georgescu.
by Georgescu, Irina [author.]; SpringerLink (Online service).
Material type:
BookSeries: Studies in Fuzziness and Soft Computing: 214Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.Description: IX, 280 p. online resource.ISBN: 9783540689980.Subject(s): Engineering | Artificial intelligence | Engineering mathematics | Engineering | Appl.Mathematics/Computational Methods of Engineering | Artificial Intelligence (incl. Robotics)DDC classification: 519 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| TA640-643 (Browse shelf) | Available | ||||
| Long Loan | MAIN LIBRARY | TA329-348 (Browse shelf) | Available |
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| R895-920 Radiology Education | R895-920 Advanced Imaging in Biology and Medicine | TA329-348 Advances in Probabilistic Graphical Models | TA329-348 Fuzzy Choice Functions | TA357-359 Computational Science and High Performance Computing III | Spatial Representation and Reasoning for Robot Mapping | QH324.2-324.25 Bioinformatics |
Preliminaries -- Classical Revealed Preference Theory -- Fuzzy Preference Relations -- Fuzzy Choice Functions -- Fuzzy Revealed Preference and Consistency Conditions -- General Results -- Degree of Dominance -- Similarity and Rationality Indicators for Fuzzy Choice Functions -- Applications -- Concluding Remarks.
The foundations of revealed preference theory for a competitive consumer were laid by Samuelson in 1938. Later this theory was axiomatically developed by Arrow, Sen, Suzumura and other economists into the theory of choice functions. This book extends the theory of revealed preference to fuzzy choice functions and provides applications to multicriteria decision making problems. The main topics of revealed preference theory (rationality, revealed preference and congruence axioms, consistency conditions) are treated in the framework of fuzzy choice functions. New topics, such as the degree of dominance and similarity of vague choices, are developed. The results obtained are applied to economic problems where partial information and human subjectivity involve vague choices and vague preferences. The book contains a number of new results achieved by the author. Even though the text is reasonably self-contained, previous knowledge of revealed preference and fuzzy set theory is helpful for the reader. Social choice theorists and computer scientists will find in this monograph stimulating material for further research and concrete applications.
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