Abstract
Decision-making in sustainability oriented environments frequently involves bipolar evaluations, indeterminate information and phase dependent uncertainty that cannot be adequately represented by existing neutrosophic matrix models. To address this limitation, this study introduces a Bipolar Complex Neutrosophic Matrix (BCNM) framework that integrates bipolar semantics with complex valued uncertainty in a coherent algebraic structure. Fundamental operations and structural properties are rigorously established to ensure mathematical consistency. To facilitate practical multi criteria decision analysis (MCDA), novel score, accuracy, and hybrid aggregation operators are developed. The computational feasibility of the proposed approach is analyzed, demonstrating linear complexity with respect to the number of alternatives and criteria. The framework’s applicability and robustness are validated through two sustainability oriented case studies aligned with Sustainable Development Goals SDG-14 (Life Below Water) and SDG-3 (Good Health and Well Being). Comparative and sensitivity analyses confirm that the proposed model exhibits enhanced discrimination capability and ranking stability compared to conventional neutrosophic matrix approaches. The proposed BCNM framework provides a mathematically rigorous and computationally efficient tool for advanced soft computing applications in sustainability driven decision systems.
Recommended Citation
Krishnapraveen, N. and Muthuraji, T.
(2026).
(R2185) Operations on Bipolar Complex Neutrosophic Matrices and its Application in UN’s SDG-14 & SDG-3 Using Python,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 21,
Iss.
1, Article 21.
Available at:
https://digitalcommons.pvamu.edu/aam/vol21/iss1/21