An extended neutrosophic model for measuring evolution, involution, indeterminacy and neutralities
نویسندگان
1 Department of Applied Informatics, University of Macedonia, Thessaloniki, Greece.
2 Department of Applied Informatics, University of Macedonia, Thessaloniki, Greece.
3 Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA.
doi
10.22105/jarie.2025.484130.1685چکیده
In our last research work we developed a neutrosophic model that integrates the ideas of finding common parts in uncommon things and uncommon parts in common things within the context of Neutrosophic Theory of Evolution, Involution, and Indeterminacy (NToEIaI). In this regard, we suggested a new conceptual model on how to measure the degree of evolution, involution, and indeterminacy of a species in a given environment and specific timespan and we were able to explain how a species adapts, regresses, or remains neutral within a specific environment and timespan. Neutrosophic selection in a species population occurs when some individuals develop while others deteriorate over time. A third group of individuals either do not change or their change is uncertain (Whether it is evolution or involution). In this research work we extend traditional neutrosophic logic to a quadruple framework by including neutrality in the neutrosophic representation. In this way we achieve to expand NToEIaI to better capture the dynamics of species and cultural adaptation. In order to demonstarate the robustness of our proposed method we, firstly, revisit the scenario studied in our previous research article by incorporating the concept of neutrality appropriately. This allows us to better understand the process of adaptation of a being (Plant, animal or human) within a dynamic environment. Next, we employ our framework to a real case study regarding language evolution of Hispanic immigrants in the U.S showcasing how individuals adapt, regress, or maintain neutral traits (Like bilingualism) during cross-cultural transitions. It quantifies the changing language environment, exposing a complicated interaction between integration and cultural preservation. Results highlight the nuanced interplay between adaptation, regression, and stasis, offering new insights into sociolinguistic transitions. This work demonstrates the versatility of the proposed framework and its potential for broader applications in social and natural sciences.
