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## Re: [ontolog-forum] N-RELATIONs: Formal Ontology, Semantic Web and Smart

 To: "[ontolog-forum]" , glenn mcdonald Ali SH Mon, 7 Nov 2011 12:28:13 -0500
 FWIW, I followed up with Glenn who had made that initial comment (I'd thought perhaps he was using hypergraphs to model them).He responded thusly: I mean that in a graph you can have a node representing the relation itself. This node can have any number of outbound arcs to the nodes that are part of the relation. So to model a marriage as a n-ary relation with a time-span and two spouses, we have   Marriage1- Time-span -> 1989-2004- Spouse -> Mabel Augury- Spouse -> Adam Dowswer  This approach is no different, ultimately, from relational modeling in the original sense of the term. It's only breaking things into triples that makes it seem hard.  glenn Which basically seems like reifying the relations - the relations are now also nodes, not just the edges.Best,AliOn Mon, Nov 7, 2011 at 12:04 PM, AzamatAbdoullaev wrote: Friday, November 04, 2011 5:47 PM, David Price wrote: "WRT RDF doesn't it simply boil down to being based on graphs which, > quoting from Wikipedia, are "mathematical structures used to model > pairwise relations between objects from a certain collection". So, I'm > confused by comments like "N-ary relations work great in a graph model." > which seems completely at odds with the fact that graph relations are > pairwise." Indeed. Any graph, as an ordered pair of vertices/nodes/points and edges/links/lines, is a type of binary, two-place or dyadic relation. But an N-relation R is a relation over the sets X1, ., Xn , which is a (n + 1)-tuple R = (X1, ., Xn, G(R)), where G(R) is a subset of the Cartesian product X1 × . × Xn where G(R) is the graph of R. There is also another widespread issue with relations, they are mostly given an extensional interpretation, assuming that the extension of a relation is the relation itself. Azamat-- (•`'·.¸(`'·.¸(•)¸.·'´)¸.·'´•) .,., ``` _________________________________________________________________ Message Archives: http://ontolog.cim3.net/forum/ontolog-forum/ Config Subscr: http://ontolog.cim3.net/mailman/listinfo/ontolog-forum/ Unsubscribe: mailto:ontolog-forum-leave@xxxxxxxxxxxxxxxx Shared Files: http://ontolog.cim3.net/file/ Community Wiki: http://ontolog.cim3.net/wiki/ To join: http://ontolog.cim3.net/cgi-bin/wiki.pl?WikiHomePage#nid1J    (01) ```
 Current Thread Re: [ontolog-forum] Self Interest Ontology, (continued) Re: [ontolog-forum] N-RELATIONs: Formal Ontology, Semantic Web and Smart Applications, AzamatAbdoullaev Re: [ontolog-forum] N-RELATIONs: Formal Ontology, Semantic Web and Smart Applications, Ali SH <= Re: [ontolog-forum] N-RELATIONs: Formal Ontology, Semantic Web and Smart Applications, doug foxvog Re: [ontolog-forum] N-RELATIONs: Formal Ontology, Semantic Web and Smart Applications, Christopher Menzel Re: [ontolog-forum] N-RELATIONs: Formal Ontology, Semantic Web and Smart Applications, AzamatAbdoullaev Re: [ontolog-forum] N-RELATIONs: Formal Ontology, Semantic Web and Smart Applications, Duane Nickull