Volume 26 , Issue 4 , PP: 348-360, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
J. Sharmila 1 * , F. Nirmala Irudayam 2
Doi: https://doi.org/10.54216/IJNS.260429
This study introduces the innovative idea of associating a possibility measure with the membership of an element in a set, and further proposes the structure of quadripartitioned neutrosophic cubic sets (PQNCS). Within this framework, the authors define four distinct components—truth, contradiction, ignorance, and falsity—each in two modes: internal and external. They explore the corresponding sets (truth-internal, contradiction-internal, ignorance-internal, falsity-internal and truth-external, contradiction-external, ignorance-external, falsity-external) and uncover their interrelated properties. Moreover, the work emphasizes the role of a score function as a central instrument for multi-attribute decision-making, and examines how measures of PQNCS—through score, accuracy and certainty functions grounded in the possibility concept—can be employed to support and guide decision-making in the quadripartitioned neutrosophic cubic setting.
Possibility , Internal and external possibility , Multi-attribute decision-making , Score&rsquo , s comparative function , Accuracy and certainty
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