Quadratic Diophantine fuzzy sentiment-based nonlinear decision-making for medical diagnostics through soft sets and cognitive maps
Yousafzai F. Zia M.D. Miao Y. Abdullah S. Lee Y.-Y.
December 2025Elsevier B.V.
Results in Control and Optimization
2025#21
Decision-making is a complex process influenced by multiple factors, including available data, expert knowledge, contextual variables, stakeholder preferences, and emotional considerations. Despite the numerous methodologies proposed in recent years, there remains a need for more effective and intelligent techniques that address uncertainty in nonlinear, sentiment-based decision-making environments. In this paper, we develop and apply advanced nonlinear fuzzy models using quadratic Diophantine fuzzy soft sets and quadratic Diophantine fuzzy cognitive maps, with a particular focus on patient well-being through medical sentiment analysis. We begin with the quadratic Diophantine fuzzy soft set method to enhance the assessment of patient conditions through the analysis of symptoms, providing a precise evaluation of health status by considering multiple key factors. Next, the quadratic Diophantine fuzzy cognitive map method is used to identify the main elements influencing patient satisfaction by analyzing reviews on depression medications. This analysis also incorporates VADER-based sentiment analysis, implemented in Python, along with correlation analysis to quantify sentiment polarity in patient feedback on depression treatments. Collectively, these methods introduce nonlinear fuzzy tools that enhance evaluations and satisfaction assessments for effective sentiment-based decision-making.
Cognitive maps , Correlation analysis , Nonlinear decision-making , Quadratic Diophantine fuzzy sets , Sentiment analysis , Soft sets , VADER
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Department of Computational Sciences and Software Engineering, Heriot-Watt International Faculty, K. Zhubanov Aktobe Regional University, Kazakhstan
Institute for Sustainable Industries and Liveable Cities, Victoria University, Melbourne, 3011, VIC, Australia
Department of Basic Sciences and Humanities, National University of Sciences and Technology, Pakistan
Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan
Department of Architecture and Civil Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, 852, Hong Kong
Department of Computational Sciences and Software Engineering
Institute for Sustainable Industries and Liveable Cities
Department of Basic Sciences and Humanities
Department of Mathematics
Department of Architecture and Civil Engineering
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