Dear Hassan,
This is conflating two things:
a) Membership of a club to a sports federation, and of a player to a sports club
b) Whole-part.
I would argue that it is the membership relation that is not transitive, but that it is quite reasonable to create a mereological sum of the players of the clubs that are members of a sports club and of a sports federation, and that this is transitive.
Regards
Matthew West
Information Junction
Tel: +44 1489 880185
Mobile: +44 750 3385279
Skype: dr.matthew.west
matthew.west@xxxxxxxxxxxxxxxxxxxxxxxxx
http://www.informationjunction.co.uk/
https://sites.google.com/site/drmatthewwest/
This email originates from Information Junction Ltd. Registered in England and Wales No. 6632177.
Registered office: 8 Ennismore Close, Letchworth Garden City, Hertfordshire, SG6 2SU.
From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx [mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx] On Behalf Of Hassan Aït-Kaci
Sent: 19 May 2013 07:26
To: jmcclure@xxxxxxxxxxxxxx
Cc: ontolog-forum@xxxxxxxxxxxxxxxx
Subject: Re: [ontolog-forum] What is the role of an upper level ontology?
Could you provide example of a nontransitive part relation
A sport team is part of a sport club. A club is part of a sport federation if it has at least one team all of whose members are professional players. So a sport team may be part of a club, but not part of a federation.