ORCID
Takaaki Fujita: https://orcid.org/0009-0007-1509-2728
Article Type
Research Article
Abstract
Neutrosophic sets assign each element three independent membership values—truth, indeterminacy, and falsity—and their partitioned extensions introduce additional components subject to sum-bounded constraints. Notable examples include quadripartitioned, pentapartitioned, and heptapartitioned neutrosophic sets. The O set concept further extends this framework by allowing membership values outside the standard [0, 1] interval, including negative values and values exceeding one. In this paper, we introduce and analyze the Quadripartitioned Neutrosophic O set, Pentapartitioned Neutrosophic O set, and Heptapartitioned Neutrosophic O set. These extensions are intended to enhance the expressiveness of neutrosophic theory and to stimulate further research in neutrosophic and fuzzy uncertainty.
Keywords
Neutrosophic Set, Quadripartitioned Neutrosophic Set, Pentapartitioned Neutrosophic Set, Heptapartitioned Neutrosophic Set, Neutrosophic Offset
How to Cite
Fujita, Takaaki
(2025)
"Note for Quadripartitioned Neutrosophic Offset, Pentapartitioned Neutrosophic Offset, and Heptapartitioned Neutrosophic Offset,"
Neutrosophic Systems with Applications: Vol. 25:
Iss.
8, Article 3.
DOI: https://doi.org/10.63689/2993-7159.1291
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
