TY - BOOK AU - ED - SpringerLink (Online service) TI - Fuzzy Choice Functions: A Revealed Preference Approach T2 - Studies in Fuzziness and Soft Computing, SN - 9783540689980 AV - TA329-348 U1 - 519 23 PY - 2007/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Engineering KW - Artificial intelligence KW - Engineering mathematics KW - Appl.Mathematics/Computational Methods of Engineering KW - Artificial Intelligence (incl. Robotics) N1 - 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; ZDB-2-ENG N2 - 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 UR - http://dx.doi.org/10.1007/978-3-540-68998-0 ER -