Neutrosophic SDEs and Lyapunov Stability for Innovative Teaching Models: A Complete Analysis for Chinese Language & Literature in the Digital Era

We develop a neutrosophic stochastic framework to evaluate innovative teaching models in Chinese Language & Literature under digital education. The state of teaching quality is represented as a neutrosophic triplet 𝑋𝑡 = (𝑇𝑡,𝐼𝑡,𝐹𝑡) ∈ [0,1]3, encoding benefit (truth), ambiguity (indeterminacy), and shortfall (falsity) in the sense of neutrosophic functions and calculus . We propose a three-equation neutrosophic SDE-each component a mean-reverting Ornstein-Uhlenbeck (OU) process-whose parameters are calibrated from observed weekly quality series. A neutrosophic Lyapunov function proves exponential stability (in mean) of the model's deterministic counterpart and yields interpretable sufficient conditions linking pedagogy variability to stability margins. A complete case study on three digital teaching models is presented with step-by-step calculations, uncertainty quantification, and a scalar Neutrosophic Teaching Innovation Efficiency score. The methodology is transparent, reproducible, and extensible to other humanities disciplines.

Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2025-08-30
DOI
https://doi.org/10.5281/zenodo.16998660
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Neutrosophic SDEs and Lyapunov Stability for Innovative Teaching Models: A Complete Analysis for Chinese Language & Literature in the Digital Era

SHILAP Revista de lepidopterología
Geochemistry and Geologic Mapping
article

Neutrosophic SDEs and Lyapunov Stability for Innovative Teaching Models: A Complete Analysis for Chinese Language & Literature in the Digital Era

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Abstract

We develop a neutrosophic stochastic framework to evaluate innovative teaching models in Chinese Language & Literature under digital education. The state of teaching quality is represented as a neutrosophic triplet 𝑋𝑡 = (𝑇𝑡,𝐼𝑡,𝐹𝑡) ∈ [0,1]3, encoding benefit (truth), ambiguity (indeterminacy), and shortfall (falsity) in the sense of neutrosophic functions and calculus . We propose a three-equation neutrosophic SDE-each component a mean-reverting Ornstein-Uhlenbeck (OU) process-whose parameters are calibrated from observed weekly quality series. A neutrosophic Lyapunov function proves exponential stability (in mean) of the model's deterministic counterpart and yields interpretable sufficient conditions linking pedagogy variability to stability margins. A complete case study on three digital teaching models is presented with step-by-step calculations, uncertainty quantification, and a scalar Neutrosophic Teaching Innovation Efficiency score. The methodology is transparent, reproducible, and extensible to other humanities disciplines.

SHILAP Revista de lepidopterología
Quality Education
Openalex Percentile: Top 60%
Geochemistry and Geologic Mapping
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Neutrosophic SDEs and Lyapunov Stability for Innovative Teaching Models: A Complete Analysis for Chinese Language & Literature in the Digital Era · SHILAP Revista de lepidopterología (2025) | TGRS Research Map | TGRS