Neutrosophic Triplet Growth Model for Moral-Linguistic Competence in College English Teaching Reform under Moral Education and Talent Cultivation

This study proposes a novel Neutrosophic Triplet Growth Model integrating moral education and linguistic skill development within the framework of college English reform. By representing each learner’s competence as a neutrosophic triplet capturing truth, indeterminacy, and falsity degrees combined with a neutrosophic derivative to measure the dynamic rate of change, the model simultaneously evaluates both the positional status of a learner relative to a moral-linguistic target profile and the temporal trajectory of their progress. A neutrosophic metric space is employed to quantify distances between learner states and the desired outcome, while the neutrosophic growth calculus tracks acceleration, deceleration, or regression in development. This dual-perspective assessment enables targeted pedagogical interventions that are mathematically grounded and pedagogically aligned with moral education principles. Numerical examples demonstrate the full computational process, ensuring reproducibility and practical applicability for higher education institutions seeking holistic English curriculum reform.