Volume 27 , Issue 2 , PP: 392-406, 2026 | Cite this article as | XML | Html | PDF | Full Length Article
Omaima Al-Shanqiti 1 , Santhakumar S. 2 * , Sumathi I. R. 3
Doi: https://doi.org/10.54216/IJNS.270232
A multi-neutrosophic set is a collection in which each element has a vector of truth indeterminacy, and falsity membership degree, rather than a Neutrosophic set. These vectors may correspond to multiple criteria, perspectives, or layers of information. Multi-neutrosophic sets are a more adaptive strategy for handling ambiguity in complex systems because they broaden neutrosophic sets and allow for better modeling of uncertain information. In this study, we have proposed the fundamental structure of multi-neutrosophic BCI/BCK Algebra and extended it to the category of multi-neutrosophic BCI(BCK) algebras. Theoretical results are presented along with examples. This study advances algebraic structure to multi-neutrosophic set and provides novel directions for future research in non-classical logic.
Neutrosophic set , multi-neutrosophic set , multi-neutrosophic BCI/BCK algebra , Category of multi-neutrosophic BCI/BCK algebra
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