Print Email Facebook Twitter Coherent choice functions, desirability and indifference Title Coherent choice functions, desirability and indifference Author Van Camp, Arthur (Universiteit Gent) de Cooman, Gert (Universiteit Gent) Miranda, Enrique (Universidad de Oviedo) Quaeghebeur, Erik (TU Delft Wind Energy) Date 2018-06-15 Abstract 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. To reference this document use: http://resolver.tudelft.nl/uuid:62d7b16b-35d1-4f5e-9402-d8f132846d2f DOI https://doi.org/10.1016/j.fss.2017.05.019 Embargo date 2019-07-01 ISSN 0165-0114 Source Fuzzy Sets and Systems: an international journal in information science and engineering, 341, 1-36 Part of collection Institutional Repository Document type journal article Rights © 2018 Arthur Van Camp, Gert de Cooman, Enrique Miranda, Erik Quaeghebeur Files PDF 22225409.pdf 676.8 KB Close viewer /islandora/object/uuid:62d7b16b-35d1-4f5e-9402-d8f132846d2f/datastream/OBJ/view