A Model of Organizational Dynamics of Phonological Knowledge in Preschool Children Based on Bratianu's Theory and the Neutrosophic AHP Technique

Phonological knowledge is a component of linguistics that allows children to understand the relationship between sounds and words. It is a skill that should be stimulated and enhanced from the age of 3, as children begin the process of reading and writing at 6. If this component is not yet acquired, it can generate difficulties in the school stage, where learning demands are more challenging and higher cognitive processes are required in terms of decoding phonemes, graphemes, words, and sentences. In this paper, we propose a model that allows us to study the dynamics of phonological knowledge in preschool children. To do so, we base ourselves on the theory proposed by Professor Constantin Bratianu, where the dynamics of organizational knowledge are modeled with equations equivalent to the thermodynamic energy flow. He uses the well-known multicriteria decision-making method Analytic Hierarchy Process (AHP) to numerically obtain the coefficients of its equations. In this paper, we propose extending this model by replacing the classic AHP with the Neutrosophic AHP. This preserves the linguistic scale proposed in the original model, and additionally includes the uncertainty and indeterminacy that are part of decision-making, increasing accuracy and explicitly modeled with the help of Neutrosophic AHP.