I agree.

Detail: from a maths point of view, partial ordering may be allowed for: I.e.: not all value pairs can  be compared with respect to the order relation. This happens in spaces with more than one dimension, but does not affect transitivity. Any math freak here to confirm?;-)

Martin

On 6/11/2019 12:43 PM, Robert Sanderson wrote:

Homework assigned to me to add a notion of concept schemes / context to the scope note.  Agreement at Paris SIG that this could go into CRMsci and thus “Oxx is conceptually greater than”

Proposed modification to the scope note:

This property allows an instance of E55 Type from a particular concept scheme or vocabulary to be declared as having an order relative to other instances of E55 Type in the same or other concept schemes, without necessarily having a specific value associated with either instance.  This allows, for example, for an E55 Type instance representing the concept of "good" in a conservation report vocabulary to be greater than the E55 Type instance representing the concept of "average" in the same vocabulary. This property is transitive, and thus if "average" is greater than "poor", then "good" is also greater than "poor". In the domain of statistics, types that participate in this kind of relationship are called "Ordinal Variables"; as opposed to those without order which are called "Nominal Variables". This property allows for queries that select based on the relative position of participating E55 Types.

Let me know if that does not fulfil the HW assignment ☺

Rob

*From: *Crm-sig <crm-sig-boun...@ics.forth.gr> on behalf of Stephen Stead <ste...@paveprime.com>
*Organization: *Paveprime Ltd
*Reply-To: *"ste...@paveprime.com" <ste...@paveprime.com>
*Date: *Thursday, January 3, 2019 at 6:49 AM
*To: *'crm-sig' <Crm-sig@ics.forth.gr>
*Subject: *[Crm-sig] **NEW ISSUE** Ordinal Property for E55 Type

During the discussions at the CRM-SIG meeting during November 2018 in Berlin the problem of dealing with instances E55 Type that have ordinal relationships with other instances of E55 Type came up. There were a number of use cases explored including:-

  * Condition report status values like Excellent, Good, Average,
    Poor, Critical where being able to query for all items that were
    below “Average” or “Good” and above would be useful.
  * Map scales expressed as types
  * Fire Hazard Ratings

This lead Robert and I to suggest that a new property be created that allowed this kind of ordinal relationship to be expressed. The quantification allows for parallel hierarchies, e.g. if someone has a type that is “slightly better than average but not quite good”, then they could align that with an existing hierarchy of Good > Average by saying that it is greater than “Average” and that “Good” is greater than both it and Average.


      Pxx is conceptually greater than (is conceptually less than)

Domain: E55 Type

Range: E55 Type

Quantification: many to many (0,n:0,n)

This property allows instances of E55 Type to be declared as having an order relative to other instances of E55 Type, without necessarily having a specific value associated with either instance.  This allows, for example, for an E55 Type instance representing the concept of "good" to be greater than the E55 Type instance representing the concept of "average". This property is transitive, and thus if "average" is greater than "poor", then "good" is also greater than "poor". In the domain of statistics, types that participate in this kind of relationship are called "Ordinal Variables"; as opposed to those without order which are called "Nominal Variables". This property allows for queries that select based on the relative position of participating E55 Types.

Examples:

  * Good (E55)/is conceptually greater than/ Average (E55)

  * Map Scale 1:10000 (E55) /is conceptually greater than/ Map Scale 1:20000 (E55)

  * Fire Hazard Rating 4 (E55)/is conceptually greater than/ Fire Hazard Rating 3 (E55)

Comments Welcome

SdS & Robert S


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 Dr. Martin Doerr

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