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A Logic for Reasoning about Relative Similarity (1997)

Konikowska, Beata

Springer

Studia logica 58 (1997), S. 185-226

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ISSN: 1572-8730

Keywords: rough sets ; entities ; properties ; similarity ; lower and upper approximations ; multi-modal logics ; completeness

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Philosophy

Notes: Abstract A similarity relation is a reflexive and symmetric binary relation between objects. Similarity is relative: it depends on the set of properties of objects used in determining their similarity or dissimilarity. A multi-modal logical language for reasoning about relative similarities is presented. The modalities correspond semantically to the upper and lower approximations of a set of objects by similarity relations corresponding to all subsets of a given set of properties of objects. A complete deduction system for the language is presented.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1004952317628

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