Granularity measures and complexity measures of partition-based granular structures
MetadataShow full item record
Granular computing is an emerging field of study in which the complexity of problem solving is reduced through granulation. Researchers have proposed various granularity measures of partitions to quantify the effects of granulation with respect to simplification. However, two important issues still remain and require careful investigation. The first issue is that a partition is only a simple two-level granular structure, which may not be sufficient for the full scope of granular computing. The second issue is a clarification of the differences between granularity and complexity. Although they are related to each other, they represent different things. To address the two issues, this paper makes three contributions. First, we extend the partition granulation scheme into multilevel granular structures based on progressive partitioning. Second, we propose a complexity measure of a partition that incorporates both the block-level interactions (interactions within a block) and the partition-level interactions (interactions between blocks of the partition). Third, we generalize the complexity measure to multilevel granular structures generated from a progressive partitioning process.
Cite this version of the work
Matthew X. Yao (2019). Granularity measures and complexity measures of partition-based granular structures. UWSpace. http://hdl.handle.net/10012/14188
The following license files are associated with this item:
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 International
Showing items related by title, author, creator and subject.
Numerical Simulations of Undrained Granular Media Olivera Bonilla, Roberto Rafael (University of Waterloo, 2004)The objective of the present study was to develop a fluid flow-coupled distinct element model capable of capturing the undrained behaviour of granular soils by considering fundamental physical mechanisms that involve fluid ...
Reduction of TCE and Chromate by Granular Iron in the Presence of Dissolved CaCO<sub>3</sub> Yang, YanQi (University of Waterloo, 2006)Iron permeable reactive barriers (PRBs) have been installed at sites contaminated with various reducible organic and inorganic chemicals, particularly chlorinated solvents, worldwide. Many geochemical factors can affect ...
Analysis of Selected Pharmaceuticals and Endocrine Disrupting Compounds and their Removal by Granular Activated Carbon in Drinking Water Treatment Yu, Zirui (University of Waterloo, 2007-09-25)Over the last decade, endocrine disrupting compounds (EDCs) and pharmaceutically active compounds (PhACs) have been detected in drinking water at very low levels, mostly ng/L concentrations, suggesting that these compounds ...