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Operadores de agregación difusos bipolares de pares ortogonales q-rung complejos para la toma de decisiones mejorada

Ibtesam Alshammari¹

¹Department of Mathematics, College of Sciences, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia. iealshamri@uhb.edu.sa.

Scientific reports

|December 31, 2025

Resumen

Este estudio presenta un nuevo conjunto difuso bipolar de pares ortogonales q-rung (BCq-ROFS) para gestionar incertidumbres complejas en la toma de decisiones. El nuevo marco ofrece resultados más estables y precisos para problemas multiatributo, como la agricultura sostenible.

Área de la Ciencia:

Lógica Difusa y Teoría de la Decisión
Inteligencia Computacional
Análisis de Sistemas Sostenibles

Sus antecedentes:

La toma de decisiones eficaz en condiciones de incertidumbre requiere la gestión de información multidimensional y contradictoria.
Las extensiones existentes de conjuntos difusos (bipolar, par ortogonal q-rung, complejo) abordan solo aspectos parciales de la incertidumbre.
Ningún marco único integra la bipolaridad, la membresía compleja y la lógica difusa de par ortogonal q-rung para una gestión integral de la incertidumbre.

Objetivo del estudio:

Introducir un marco unificado, el conjunto difuso bipolar de pares ortogonales q-rung (BCq-ROFS).
Desarrollar operadores de agregación (BCq-ROFWA, BCq-ROFWG) para combinar datos difusos complejos.
Abordar las limitaciones de las extensiones difusas existentes en el manejo de la incertidumbre multifacética.

Principales métodos:

Integración de la bipolaridad, las estructuras de membresía complejas y la lógica difusa de par ortogonal q-rung en BCq-ROFS.
Desarrollo de operadores de promedio ponderado (BCq-ROFWA) y geométrico (BCq-ROFWG) BCq-ROF.
Aplicación a un problema de toma de decisiones multiatributo en la ganadería sostenible.

Principales resultados:

Los operadores basados en BCq-ROFS proporcionan clasificaciones más estables, interpretables y discriminatorias en comparación con los métodos difusos tradicionales.
El marco maneja eficazmente los objetivos contrapuestos y las compensaciones en la ganadería sostenible.
Los análisis comparativos y de sensibilidad confirman la robustez y escalabilidad del método propuesto.

Conclusiones:

El marco BCq-ROFS ofrece una herramienta poderosa para la toma de decisiones en entornos complejos e inciertos.
Los operadores desarrollados mejoran la precisión de la toma de decisiones y la relevancia práctica en problemas multiatributo.
Este enfoque unificado avanza la teoría de conjuntos difusos para aplicaciones en el mundo real.

Palabras clave:

Métodos de agregación Conjuntos difusos bipolares de pares ortogonales q-rung Sistemas de apoyo a la decisión Toma de decisiones sostenible Modelado de la incertidumbre

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