DOAJ Open Access 2025

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

Wenshu Deng Sha Liu

Abstrak

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 𝑋𝑑 = (𝑇𝑑,𝐼𝑑,𝐹𝑑) ∈ [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.

Penulis (2)

W

Wenshu Deng

S

Sha Liu

Format Sitasi

Deng, W., Liu, S. (2025). Neutrosophic SDEs and Lyapunov Stability for Innovative Teaching Models: A Complete Analysis for Chinese Language & Literature in the Digital Era. https://doi.org/10.5281/zenodo.16998660

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Informasi Jurnal
Tahun Terbit
2025
Sumber Database
DOAJ
DOI
10.5281/zenodo.16998660
Akses
Open Access βœ“