Enhancing granulation hierarchies

While the paper entitled From granulation hierarchy to granular perspective for this year’s IEEE International Conference on Granular Computing (GrC’09) has been accepted for a while [1], it took some effort to get the colourful sticker (visa) glued into my passport that allows me entry into China, where the conference will be held.

The paper is a shorter, and perhaps also better readable, version of Section 3.3 of my thesis, where the considerations and argumentation of the ontological aspects are mostly left out, so that some explanatory text and the definitions, lemmas, and theorems remain. The aim is to augment so-called granulation hierarchies–those things you get when linking up different levels of granularity (or their data at different levels of detail)–with several attributes and a way to unambiguously identify such hierarchies, what I then call granular perspectives.

Here’s the abstract:

It is well-known that one can granulate data and information in multiple ways to generate a plethora of granulation hierarchies each with their levels of granularity. It is left implicit what the characteristics of such hierarchies are, and what consequences they have on levels of granularity. We propose a way to represent such additional information of granulation hierarchies by upgrading them to full granular perspectives and to provide a consistent way to uniquely identify, hence, distinguish, such perspectives based on their semantics by using a criterion for granulation and type of granularity used for granulation. In addition, with the chosen premises, definitions, and proven properties, we demonstrate some consequences for characterising levels of granularity within such granular perspectives.

If the 6 pages do not satisfy your appetite for the topic and you want to read more about properties and the criterion for granulation and see more examples, then Section 3.3 of the thesis will be useful. More consequences of granular perspectives on granular levels can be found in Section 3.4 of the thesis.


[1] Keet, C.M. From granulation hierarchy to granular perspective. IEEE International Conference on Granular Computing (GrC’09), Nanchang, China, August 17-19, 2009. IEEE Computer Society, pp .

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