Granulation with indistinguishability, equivalence, or similarity

Abstract

One of the relations used with granularity is indistinguishability, where distinguishable entities in a finer-grained granule are indistinguishable in a coarser-grained granule. This relation is a subtype of equivalence relation, which is used in the other direction to create finer-grained granules. Together with the notion of similarity, we formally prove some intuitive properties of the indistinguishability relation for both qualitative and quantitative granularity, that with a given granulation there must be at least two granules (levels of granularity) for it to be granular, and derive a strict order between finer and coarser granules. Based on these results, granulation hierarchy is defined as extra assisting structure to augment implementations.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,031

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Analytics

Added to PP
2009-01-28

Downloads
31 (#532,577)

6 months
4 (#863,607)

Historical graph of downloads
How can I increase my downloads?

References found in this work

Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Granularity as a parameter of context.Hedda R. Schmidtke - 2005 - In B. Kokinov A. Dey (ed.), Modeling and Using Context. Springer. pp. 450--463.

Add more references