On Arrow's Impossibility Theorem

1969 ◽  
Vol 12 (2) ◽  
pp. 227-248 ◽  
Author(s):  
Duncan Black
Keyword(s):  
Impossibility Theorem ◽  
Arrow’S Impossibility Theorem ◽  
Arrow's Impossibility Theorem

ARROW-TYPE RESULTS UNDER INTUITIONISTIC FUZZY PREFERENCES

2013 ◽  
Vol 09 (01) ◽  
pp. 97-123 ◽  
Author(s):  
GILBERT NJANPONG NANA ◽  
LOUIS AIME FONO
Keyword(s):  
Positive Result ◽  
Social Preferences ◽  
Impossibility Theorem ◽  
Arrow’S Impossibility Theorem ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Preferences ◽  
Arrow's Impossibility Theorem ◽  
Fuzzy Preference

Fono et al.11 characterized, for an intuitionistic fuzzy t-norm [Formula: see text], two properties of a given regular intuitionistic fuzzy strict component of a (T,S)-transitive intuitionistic fuzzy preference. In this paper, we examine these characterizations in the particular case where [Formula: see text]. We then use these (general and particular) results to obtain some intuitionistic fuzzy versions of Arrow's impossibility theorem. Therefore, by weakening a requirement to social preferences, we deduce a positive result, that is, we display an example of a non-dictatorial Intuitionistic Fuzzy Agregation Rule (IFAR) and, we establish an intuitionistic fuzzy version of Gibbard's oligarchy theorem.

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