Scientific Reports Analysis
The extended TODIM method under q-rung orthopair fuzzy environment and its application to multi-path parallel transmission in mobile networks
This research introduces a novel q-rung orthopair fuzzy TODIM framework, integrating a geometric visualization-based ranking method and a higher-order distance measure. It provides a robust, interpretable solution for multi-criteria decision-making under uncertainty, particularly demonstrated in optimizing multi-path parallel transmission in mobile networks.
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Integrated TODIM for Q-Rung Fuzzy Environments
This paper introduces a novel extension of the TODIM (Tomada de Decisão Interativa Multicritério) method, specifically tailored for q-rung orthopair fuzzy (q-ROF) environments. The core innovation lies in bridging critical gaps found in existing decision-making frameworks dealing with ambiguous and asymmetric information.
The method's foundation rests on three interconnected advancements: a geometric visualization-based ranking approach, a novel higher-order distance measure, and the seamless integration of these into the classical TODIM framework. This integration enables more accurate, robust, and interpretable multi-criteria decision-making (MCDM) for complex engineering systems.
Enhanced Accuracy, Stability, and Interpretability
The proposed framework significantly improves upon existing q-ROF MCDM methods. Its geometric ranking method maps fuzzy numbers onto a coordinate plane, using arc-length aggregation for membership, non-membership, and hesitation degrees. This unique visualization enhances interpretability and ensures ranking stability, even with fluctuating 'q' parameters.
Furthermore, a sophisticated higher-order distance measure is introduced to capture nuanced structural information of q-ROF numbers, leading to higher fidelity in difference quantification. This prevents information loss and maintains accuracy under varying 'q' settings, which is a common limitation in conventional distance metrics.
Proven Robustness in Real-World Application
The practical applicability and robustness of the extended TODIM method are demonstrated through a case study on multi-path parallel transmission scheme selection in mobile networks. This real-world scenario highlights the method's ability to effectively process complex fuzzy information and yield reliable decision outcomes.
Comparative experiments against existing q-ROF MCDM methods and a detailed sensitivity analysis confirmed superior ranking consistency and robustness. The method exhibited 100% stability across different 'q' values, proving its reliability for critical decision-making in environments characterized by bounded rationality and hesitation.
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Ranking Stability Across 'q' Values
The sensitivity analysis confirmed that our extended TODIM method ensures complete ranking stability, even when the 'q' parameter in q-ROFNs is varied across a wide range. This robustness is critical for reliable decision-making in dynamic environments.
Enterprise Process Flow
Q-ROFN Evaluation
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Arc-Length Based Ranking
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Higher-Order Distance Metric
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TODIM Dominance Computation
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Final Scheme Selection
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Multi-path Parallel Transmission Optimization
The proposed extended TODIM method was successfully applied to optimize multi-path parallel transmission scheme selection in mobile networks. This real-world engineering problem involved evaluating five candidate transmission schemes against four key criteria: packet disorder rate, resource management, congestion rate, and network switching speed.
The framework effectively processed q-rung orthopair fuzzy evaluations, yielding a clear and robust ranking of alternatives. Alternative A1 consistently emerged as the optimal choice, demonstrating the method's capability to handle ambiguous information and deliver actionable insights for critical infrastructure decisions.
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