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Re: [ontology-summit] Offline note. Re: First Model Bench Challenge

To: Ontology Summit 2012 discussion <ontology-summit@xxxxxxxxxxxxxxxx>
Cc: upriss@xxxxxxxxx
From: John F Sowa <sowa@xxxxxxxxxxx>
Date: Tue, 22 May 2012 08:20:33 -0400
Message-id: <4FBB8491.4050409@xxxxxxxxxxx>
Dear Ramayya,    (01)

I added another slide to discuss the connection between lattice
theory and Ranganathan's faceted classification.  (Copy below)    (02)

At the end of that slide, I included a pointer to the web page
you suggested for faceted classification.  I also included a
pointer to the home page for Formal Concept Analysis (FCA).    (03)

Following is a related paper that discusses the use of FCA tools
for automatically deriving a lattice from the facets:    (04)

    Description Logic and Faceted Knowledge Representation    (05)

If you go to the FCA home page, you can click on demos that derive
the sublattice that surrounds any word in Roget's Thesaurus or
in WordNet.  For example, you can type a word such as 'happiness'
to see how it is classified in Roget's Thesaurus and in WordNet.    (06)

If you have any further questions about the relationship off FCA
methods to faceted classification, you could contact Uta Priss.
(See the cc list above.)    (07)

John    (08)

________________________________________________________________    (09)

                       Lattice-Based Methods    (010)

Many classification schemes are organized as trees, which limit 
inheritance to just one parent for any node beneath the top.    (011)

To support multiple inheritance, S. R. Ranganathan developed a system of 
faceted classification for library catalogs:
● Each facet represents a monadic relation.
● Each category is defined by a conjunction of facets.    (012)

Formal Concept Analysis (FCA) generates a minimal lattice for any 
concepts or categories defined by such a conjunction:
● Input to the FCA tools Is a list of concepts and definitions.
● Those definitions could be the list of facets for each concept.
● The output is a minimal lattice that shows all inheritance paths.
● FCA tools are often used to check OWL ontologies for consistency.    (013)

For FCA tools and techniques, see http://www.upriss.org.uk/fca/fca.html
For faceted classification, see http://www.iskouk.org/kokonov2007.htm    (014)

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