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An Investigation on Some Revealed Preference Relations of Fuzzy Choice Functions

Yonghua Hao

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Abstract

In this paper,we investigate the revealed preference relations R*,R,R,■ revealed by crisp choice functions and the links between them.Based on the conclusions for crisp choice functions,we carry out a further research on the fuzzy preference relations corresponding to the crisp ones and the relationships between them.In the end,we obtain some necessary and sufficient conditions under which some of these preference relations are equal.

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What this paper is about

In this paper,we investigate the revealed preference relations R*,R,R,■ revealed by crisp choice functions and the links between them.Based on the conclusions for crisp choice functions,we carry out a further research on the fuzzy preference relations corresponding to the crisp ones and the relationships between them.In the end,we obtain some necessary and sufficient conditions under which some of these preference relations are equal.

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Available abstract

In this paper,we investigate the revealed preference relations R*,R,R,■ revealed by crisp choice functions and the links between them.Based on the conclusions for crisp choice functions,we carry out a further research on the fuzzy preference relations corresponding to the crisp ones and the relationships between them.In the end,we obtain some necessary and sufficient conditions under which some of these preference relations are equal.

Key concepts: Preference, Mathematics, Fuzzy logic, Choice function, Preference relation, Fuzzy set, Mathematical economics, Algebra over a field

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