ORCID
Takaaki Fujita: https://orcid.org/0009-0007-1509-2728
Article Type
Research Article
Abstract
Concepts such as Fuzzy Sets, Neutrosophic Sets, Rough Sets, and Plithogenic Sets have been extensively studied to address uncertainty, finding diverse applications across various fields. A Double-Valued Neutrosophic Set (DVNS) extends traditional neutrosophic sets by introducing two distinct indeterminacy components: one leaning towards truth and the other towards falsity. In this paper, we explore Triple-Valued Neutrosophic Sets, Quadruple-Valued Neutrosophic Sets, and Quintuple-Valued Neutrosophic Sets, as well as an extension of the Indetermsoft Set, termed the Double-Valued Indetermsoft Set. Note that related concepts such as the Multi-Valued Neutrosophic Set and the n-Valued Refined Neutrosophic Set have already been established.
Keywords
Soft set, Fuzzy set, Neutrosophic set, Double-valued neutrosophic set, Triple-valued neutrosophic set, Indetermsoft set
How to Cite
Fujita, Takaaki
(2025)
"Triple-Valued Neutrosophic Set, Quadruple-Valued Neutrosophic Set, Quintuple-Valued Neutrosophic Set, and Double-valued Indetermsoft Set,"
Neutrosophic Systems with Applications: Vol. 25:
Iss.
5, Article 3.
DOI: https://doi.org/10.63689/2993-7159.1276
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.