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April 30, 2026
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Modeling ceteris paribus preferences in formal concept analysis

P. 188–202.
Obiedkov S.

We present a context-based semantics for parameterized ceteris paribus preferences over attributes subsets. Such preferences are only required to hold when the alternatives being compared agree on a specified subset of attributes. We show that ceteris paribus preferences valid in a preference context correspond to implications of a special formal context derived from the original preference context. We prove that the problem of checking the semantic consequence relation for parameterized ceteris paribus preferences is coNP-complete. We then discuss the relation between parameterized and classical, i.e., non-parameterized, ceteris paribus preferences, which are only required to hold “all other things being equal”. We show that a non-parameterized preference is a special case of a parameterized preference, while any parameterized preference can be represented by an exponentially large set of non-parameterized preferences.

Language: English
Full text
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Keywords: formal concept analysisimplicationspreference logicceteris paribus preferencesимпликацииформальный анализ понятийлогика предпочтенийпредпочтения при прочих равных
Publication based on the results of:
Mathematical Models, Algorithms, and Software Tools for the Intelligent Analysis of Big Textual and Structural Data (2013)

In book

Formal Concept Analysis
Vol. 7880. , Berlin, Heidelberg: Springer, 2013.
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