Defining Measures in a Mereological Space (an exploratory paper)

Giuseppina Barbieri; Giangiacomo Gerla

doi:10.12775/LLP.2021.005

Authors

Giuseppina Barbieri Department of Mathematics, University of Salerno https://orcid.org/0000-0002-6460-1951
Giangiacomo Gerla Department of Mathematics, University of Salerno

DOI:

https://doi.org/10.12775/LLP.2021.005

Keywords

connection structures, measures, mereological space, mereology, region-based theories of space

Abstract

We explore the notion of a measure in a mereological structure and we deal with the difficulties arising. We show that measure theory on connection spaces is closely related to measure theory on the class of ortholattices and we present an approach akin to Dempster’s and Shafer’s. Finally, the paper contains some suggestions for further research.

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