Fuzzy Association Rule Based Froth Surface Behavior Control in Zinc Froth Flotation
Abstract
:1. Introduction
2. Process Description
3. Methods
3.1. Froth Surface Behavior Representation
3.1.1. Bubble Size Distribution
3.1.2. Froth Velocity Distribution
3.2. Rule Base Construction
3.2.1. Association Rule Mining
Algorithm I: Fuzzy Apriori-Based Setpoint Association Rule Mining. |
Input: A collection of froth behavior data at reagent adjusting time, |
their corresponding froth behavior data captured after reagent adjustment, |
and XRF grade analysis result of collected froth after reagent adjustment |
Output: |
|
3.2.2. Fuzzy Inference System
3.3. Reagent Control
3.3.1. Flotation Causal Inference Model Construction
3.3.2. Distance Metric
- (i)
- ;
- (ii)
- ;
- (iii)
- ; and
- (iv)
- .
3.3.3. Reagent Control Based on Receding Horizon Optimization
4. Results and Discussion
4.1. Relationship between Visual Features and Process Variables
4.2. Validation of the Fuzzy A Priori Association Rule Mining
4.3. Industrial Experiments
5. Conclusions
Author Contributions
Acknowledgments
Conflicts of Interest
References
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Procedures for Keypoint Detector |
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Procedures for Keypoint Description |
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1. Define a binary test of image patch |
Define the feature as a vector of binary tests |
2. For any feature set of , define the matrix |
3. Use the patch orientation and the corresponding rotation matrix to construct a “steered” version of as , thus |
Feature | Bubble size Distribution | Froth Velocity Distribution | ||
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Mu | Sigma | Mu | Sigma | |
Grade | −0.47 | −0.42 | −0.32 | 0.51 |
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Zhang, J.; Tang, Z.; Ai, M.; Gui, W. Fuzzy Association Rule Based Froth Surface Behavior Control in Zinc Froth Flotation. Symmetry 2018, 10, 216. https://doi.org/10.3390/sym10060216
Zhang J, Tang Z, Ai M, Gui W. Fuzzy Association Rule Based Froth Surface Behavior Control in Zinc Froth Flotation. Symmetry. 2018; 10(6):216. https://doi.org/10.3390/sym10060216
Chicago/Turabian StyleZhang, Jin, Zhaohui Tang, Mingxi Ai, and Weihua Gui. 2018. "Fuzzy Association Rule Based Froth Surface Behavior Control in Zinc Froth Flotation" Symmetry 10, no. 6: 216. https://doi.org/10.3390/sym10060216