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Object-Attribute Fuzzy Relations and Fuzzy Concept Lattices

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Fuzzy Relational Systems

Abstract

Elementary knowledge: relation between objects and attributes. When exploring an unknown domain of interest, the primarily observable data are in the form of a collection of relevant objects (minerals, animals, cities, documents, etc.), attributes that may apply to the objects (to be hard, to be warm-blooded, to be a capital city, to have many inhabitants, etc.), 1 and a relationship between objects and attributes specifying what objects have what attributes (some minerals are hard, some not; a city is either a capital or not; etc.). Most of empirical attributes are vague—a given attribute applies to a given object to a certain (truth) degree (mineral is hard to a certain degree).

A concept is a basic unit for representing knowledge. —John Sowa (Conceptual Structures, 1984)

Everything is a matter of degree. —Anonymous

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© 2002 Springer Science+Business Media New York

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Bělohlávek, R. (2002). Object-Attribute Fuzzy Relations and Fuzzy Concept Lattices. In: Fuzzy Relational Systems. International Federation for Systems Research International Series on Systems Science and Engineering, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0633-1_5

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  • DOI: https://doi.org/10.1007/978-1-4615-0633-1_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5168-9

  • Online ISBN: 978-1-4615-0633-1

  • eBook Packages: Springer Book Archive

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