Coherent and Archimedean choice in general Banach spaces

نویسندگان

چکیده

I introduce and study a new notion of Archimedeanity for binary non-binary choice between options that live in an abstract Banach space, through very general class models, called sets desirable option sets. In order to be able bring important diversity contexts into the fold, amongst which horse lottery options, pay special attention case where these linear spaces don't include all ‘constant’ options. consider frameworks conservative inference associated with Archimedean (and coherent) also quite lot representation (non-binary) models terms simpler, ones. The theorems proved here provide axiomatic characterisation for, many other methods, Levi's E-admissibility Walley–Sen maximality.

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ژورنال

عنوان ژورنال: International Journal of Approximate Reasoning

سال: 2022

ISSN: ['1873-4731', '0888-613X']

DOI: https://doi.org/10.1016/j.ijar.2021.09.005