Advanced Partitioned Neutrosophic Offsets, Oversets, and Undersets: Modeling “Neither Agree nor Disagree” and Beyond
Keywords:
Neutrosophic Set, Hexapartitioned Neutrosophic Set, Octapartitioned Neutrosophic Set, Nonapartitioned Neutrosophic Set, Decapartitioned neutrosophic set, Neutrosophic Offset.
Abstract
Modern uncertainty-modeling frameworks-fuzzy sets, intuitionistic fuzzy sets, hyperfuzzy sets, neutrosophicsets, and plithogenic sets-provide powerful tools for capturing vagueness and imprecision. In particular, neutrosophic sets characterize each element by three independent degrees: truth, indeterminacy, and falsity. Classical neutrosophic sets have been refined by partitioning the membership degrees into additional components. Recently, the Hexapartitioned Neutrosophic Set, Octapartitioned Neutrosophic Set, Nonapartitioned Neutrosophic Set, and Decapartitioned Neutrosophic Set have been defined. In this paper, we introduce four novel partitioned models-hexapartitioned, octapartitioned, nonapartitioned, and decapartitioned neutrosophic offsets/oversets/undersets-and show how each can be seamlesslyembed ded into the plithogenic-set framework.
Published
2026-01-29
How to Cite
Fujita , T., Hatamleh , R., & Heilat, A. (2026). Advanced Partitioned Neutrosophic Offsets, Oversets, and Undersets: Modeling “Neither Agree nor Disagree” and Beyond. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3191
Issue
Section
Research Articles
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