An Extended Entropy Measure for Interval-Valued Picture Fuzzy Numbers: Application to Depression Factors Among Working Women
DOI:
https://doi.org/10.2298/YJOR250715045RKeywords:
Interval-valued Picture Fuzzy Numbers, Entropy Measure, Working Women Depression, MCDM, TOPSIS, VIKOR, WASPAS, Sensitivity AnalysisAbstract
In recent years, the mental well-being of working women has emerged as a critical concern due to increasing psychological stress and societal expectations. This study proposes a novel extended entropy measure tailored for Interval-Valued Picture Fuzzy Numbers (IVPFNs) to effectively model and analyze uncertainty in decision-making scenarios involving ambiguous and imprecise information. The proposed entropy measure captures the intricate degrees of membership, non-membership, and neutral values inherent in PFNs, providing a more comprehensive understanding of data complexity. To demonstrate the applicability of the proposed measure, a real-world case study was conducted focusing on depression among working women. A total of 15 key depression-related factors were evaluated under four criteria: psychological, social, environmental, and occupational, using expert opinion expressed in linguistic terms converted to T2PFNs. The decision matrix was analyzed using three widely-used distance-based Multi-Criteria Decision-Making (MCDM) methods: TOPSIS, VIKOR, and WASPAS. A sensitivity analysis was performed to assess the stability and robustness of the rankings under varying decision scenarios. The results reveal the most influential factors contributing to depression in working women, offering valuable insights for policymakers, healthcare professionals, and organizational management. The integration of the extended entropy measure enhances the discrimination power of the decision model and supports more reliable prioritization in fuzzy decision-making environments.
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