Evaluación del progreso social global mediante la entropía de Shannon y la lógica difusa

Tsitsi A. Hernández-Duarte; Víctor G. Alfaro-García; Norma Laura Godínez-Reyes; Dora Aguilasocho-Montoya

doi:10.33110/inceptum.v21i40.522

Autores/as

Tsitsi A. Hernández-Duarte Universidad Michoacana de San Nicolás de Hidalgo https://orcid.org/0009-0002-2219-7636
Víctor G. Alfaro-García Universidad Michoacana de San Nicolás de Hidalgo https://orcid.org/0000-0002-0412-2166
Norma Laura Godínez-Reyes Universidad Michoacana de San Nicolás de Hidalgo https://orcid.org/0000-0002-9341-5488
Dora Aguilasocho-Montoya Universidad Michoacana de San Nicolás de Hidalgo https://orcid.org/0000-0002-3630-0238

DOI:

https://doi.org/10.33110/inceptum.v21i40.522

Palabras clave:

Entropía de Shannon, Índice de Progreso Social, Lógica difusa

Resumen

Este estudio propone un enfoque metodológico que combina lógica difusa y entropía de Shannon para analizar la estructura del Índice de Progreso Social (IPS). El objetivo del documento es cuantificar la entropía entre las diferentes dimensiones que conforman el índice de progreso social en distintas naciones. Para ello, se analizaron datos de 146 países durante el período 2014–2018, aplicando un algoritmo humanista, para construir subconjuntos borrosos y estimar su nivel de entropía. Los resultados revelan patrones regionales diferenciados: los países europeos, especialmente los nórdicos, presentan bajos niveles de entropía, lo que indica mayor coherencia estructural del progreso social; en contraste, varios países del África subsahariana muestran altos niveles de entropía, reflejando mayor dispersión y fragilidad estructural. Este enfoque aporta una herramienta útil para el análisis comparativo del desarrollo social, ya que permite modelar la incertidumbre, la ambigüedad y los datos imprecisos.

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