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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2000 year|{{PAGENAME}}]]
{{issue/title
| title = On liberal collective identity
| shortcut = nifs/6/2/42-51
}}
{{issue/author
| author = Dinko Dimitrov
| institution = Graduate College ” Allocation Theory, Economic Policy, and Collective Decisions”, Ruhr-University Bochum / University Dortmund
}}
{{issue/data
| conference =
| issue = [[Notes on Intuitionistic Fuzzy Sets/06/2|"Notes on Intuitionistic Fuzzy Sets", Volume 6 (2000) Number 2]], pages 42—51
| file = NIFS-06-2-42-51.pdf
| format = PDF
| size = 7767
| abstract = Suppose that each member of a society has a view about every individual, including himself, whether or not this individual is a member of some social subgroup ''J''. A Collective Identity Function (CIF) assigns a collective meaning to the question "Who is a ''J''?" for each profile of individual opinions. By the Liberal CIF (LCIF) an individual is collective identified as a ''J'' if and only if his answer to the question "Am I a ''J''?” is positive. In this note we study a situation where the individuals in the society have intuitionistic fuzzy views about each other, i.e. they can use all numbers between 0 and 1 in order to give a characterization of themselves. We follow Kasher and Rubinstein (1998) and extend their axiomatic characterization of the LCIF to our general environment.

| keywords =
| references =
# Atanassov, K. (1999) [[Intuitionistic Fuzzy Sets: Theory and Applications|Intuitionistic Fuzzy Sets]], Physica-Verlag.
# Atanassov, K. (1986) Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20, 87-96.
# Kasher, A., Rubinstein, A. (1998) On the Question "Who is a J?": A Social Choice Approach, Logique et Analyse, forthcoming.
# Samet, D., Schmeidler, D. (2000) Between Liberalism and Democracy, Working Paper, Ohio State University.
# Sen, A. (1970) The Impossibility of a Paretian Liberal, Journal of Political Economy 78, 152-157.
# Zadeh, L. (1965) Fuzzy Sets, Information and Control 8, 338-353.
| citations =
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}}

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