TY - JOUR
T1 - Coherent choice functions, desirability and indifference
AU - Van Camp, Arthur
AU - de Cooman, Gert
AU - Miranda, Enrique
AU - Quaeghebeur, Erik
PY - 2018/6/15
Y1 - 2018/6/15
N2 - We investigate how to model indifference with choice functions. We take the coherence axioms for choice functions proposed by Seidenfeld, Schervisch and Kadane as a source of inspiration, but modify them to strengthen the connection with desirability. We discuss the properties of choice functions that are coherent under our modified set of axioms and the connection with desirability. Once this is in place, we present an axiomatisation of indifference in terms of desirability. On this we build our definition of indifference in terms of choice functions, which we discuss in some detail.
AB - We investigate how to model indifference with choice functions. We take the coherence axioms for choice functions proposed by Seidenfeld, Schervisch and Kadane as a source of inspiration, but modify them to strengthen the connection with desirability. We discuss the properties of choice functions that are coherent under our modified set of axioms and the connection with desirability. Once this is in place, we present an axiomatisation of indifference in terms of desirability. On this we build our definition of indifference in terms of choice functions, which we discuss in some detail.
UR - http://www.scopus.com/inward/record.url?scp=85020056823&partnerID=8YFLogxK
UR - http://resolver.tudelft.nl/uuid:62d7b16b-35d1-4f5e-9402-d8f132846d2f
U2 - 10.1016/j.fss.2017.05.019
DO - 10.1016/j.fss.2017.05.019
M3 - Article
AN - SCOPUS:85020056823
VL - 341
SP - 1
EP - 36
JO - Fuzzy Sets and Systems: an international journal in information science and engineering
JF - Fuzzy Sets and Systems: an international journal in information science and engineering
SN - 0165-0114
ER -