Dombi aggregation operator in terms of complex bipolar fuzzy sets with application in decision making problems
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
The complex bipolar fuzzy sets fundamentally expand upon bipolar fuzzy sets and complex fuzzy set, and demonstrate efficacy in dealing with two-dimensional uncertainty, specifically where amplitude and phase information are both relevant. However, existing aggregation operators within the complex bipolar fuzzy environment generally fail to provide ample flexibility and generalization to accommodate broader range of decision-making scenarios. To overcome this deficiency, this research puts forward four novel aggregation operators based on Dombi operations: Complex bipolar Dombi fuzzy weighted arithmetic aggregation operator, Complex bipolar Dombi fuzzy weighted geometric aggregation operator, Complex bipolar Dombi fuzzy ordered weighted arithmetic aggregation operator, and Complex bipolar Dombi fuzzy ordered weighted geometric aggregation operator. These operators incorporate operational parameters to enhance adaptability and accuracy in aggregation processes. In this research, we propose the mathematical formulation and fundamental properties of these operators within the complex bipolar fuzzy framework. To demonstrate the usefulness of the proposed method, a case study involving the selection of a buffalo with the objective of profit maximization and the best possible return on investment is presented. The outcomes confirm that the suggested operators offer enhanced flexibility and efficiency over existing aggregation methods. The comparative study additionally demonstrates their distinct advantages, making them valuable tools for complex bipolar fuzzy decision-making applications.
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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 | 0.005 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.002 | 0.004 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.002 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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