"Symbolic HyperPlithogenic set" by Takaaki Fujita and Florentin Smarandache
 

Branch Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

2025

Abstract

Concepts such as Fuzzy Sets, Neutrosophic Sets, and Plithogenic Sets have been widely investigated for tackling uncertainty, with numerous applications explored across various domains. As extensions of the Plithogenic Set, the HyperPlithogenic Set and the SuperHyperPlithogenic Set are also recognized. A Symbolic Plithogenic Set (SPS) is a structured set defined by symbolic components 𝑃𝑖 and coefficients π‘Žπ‘– , enabling flexible algebraic operations under a specified prevalence order. In this paper, we examine concepts including the Symbolic HyperPlithogenic Set and the Symbolic 𝑛-SuperhyperPlithogenic Set.

Publication Title

Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough, and Beyond

Volume

6

First Page

130

Last Page

136

Language (ISO)

English

Keywords

Plithogenic Set, HyperPlithogenic Set, Symbolic Plithogenic Set.

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Included in

Set Theory Commons

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