Ebook: Fuzzy Choice Functions: A Revealed Preference Approach

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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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.

---

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.

Content:
Front Matter....Pages I-IX
Introduction....Pages 1-8
Preliminaries....Pages 9-23
Classical Revealed Preference Theory....Pages 25-47
Fuzzy Preference Relations....Pages 49-74
Fuzzy Choice Functions....Pages 75-106
Fuzzy Revealed Preference and Consistency Conditions....Pages 107-144
General Results....Pages 145-167
Degree of Dominance....Pages 169-187
Similarity and Rationality Indicators for Fuzzy Choice Functions....Pages 189-231
Applications....Pages 233-263
Concluding Remarks....Pages 265-270
Back Matter....Pages 271-282

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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.

Content:
Front Matter....Pages I-IX
Introduction....Pages 1-8
Preliminaries....Pages 9-23
Classical Revealed Preference Theory....Pages 25-47
Fuzzy Preference Relations....Pages 49-74
Fuzzy Choice Functions....Pages 75-106
Fuzzy Revealed Preference and Consistency Conditions....Pages 107-144
General Results....Pages 145-167
Degree of Dominance....Pages 169-187
Similarity and Rationality Indicators for Fuzzy Choice Functions....Pages 189-231
Applications....Pages 233-263
Concluding Remarks....Pages 265-270
Back Matter....Pages 271-282
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