A Game-Theoretic Framework for Approximation with Soft Sets
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Bibliographic record
Abstract
Addressing uncertainty issues is a significant challenge in decision-making. Soft set theory is designed to assist in complex decision-making scenarios where multiple approximations are involved. Those approximations, represented as parametrized sets in soft sets, could provide decision-makers with more informed choices when integrated effectively. However, con-flicts among distinct approximations make the integration chal-lenging. To address this issue, we propose a game-theoretic soft set model based on a set-oriented perception. This model effectively manages the merging of approximation sets by dividing the universe into overlapping and conflicting regions and employing tailored strategies for each. Experimental results indicate that the model not only can achieve a balance among various parameters or conflicting decision goals, but also improves approximation performance across accuracy, precision, recall, and Fl-score.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it