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.
Yan, Chao (University of Waterloo, 2018-09-04)Filtration is one of the primary technologies for nanoparticle control. However, conventional filtration techniques are evaluated mostly for solid mass removal and do not show promising effectiveness for filtration of ...
Chennette, Victoria (University of Waterloo, 2017-04-20)Microcystin-LR (MC-LR) is a potent hepatotoxin, produced by cyanobacteria. MC-LR is the most commonly regulated cyanotoxin. MC-LR typically occurs seasonally in late summer in temperate regions, such as the North American ...
A Micromechanical Study of Undrained Granular Media Using Fluid-coupled Discrete Numerical Simulations Zhang, Wei (University of Waterloo, 2018-12-06)Engineering behavior of saturated granular materials under rapid loading as during earthquakes is reasonably well explored empirically. Presently, theoretical models developed within concepts of classical soil mechanics ...