A Proposed Method for Establishing Five Algebraic Substructures in UP-Algebras in View of Generalized Neutrosophic Structures
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 main goal of this paper is to utilize the notion of generalized neutrosophic structures (GNSs) to five types of algebraic substructures in UP-algebras. We present the concepts of generalized neutrosophic UP-subalgebras (GNUP-Ss), generalized neutrosophic near UP-filters (GNNUP-Fs), generalized neutrosophic UP-filters (GNUP-Fs), generalized neutrosophic UP-ideals (GNUP-Is) and generalized neutrosophic strong UP-ideals (GNUP-SIs) in UP-algebras and investigate some related properties. Furthermore, the relationship between these five types of algebraic substructures in UP-algebras is discussed. After that, the conditions under which GNUP-S can be GNNUP-F, and the condition under which GNUP-F can be GNUP-I in UP-algebra are discovered. At last, a number of characterizations theorems of our concepts are presented and proved.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.004 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.004 | 0.004 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 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