Neutrosophic SuperHyperSoft Sets
Neutrosophic SuperHyperSoft Sets (NSHSS) represent an innovative extension of traditional soft set theory, integrating the principles of Neutrosophy to address uncertainties in decision-making processes. In this study, we recall the NSHSS and establish its foundational principles, including the rela...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2025-03-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/SuperHyperSoft3.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849330013218799616 |
|---|---|
| author | Florentin Smarandache A. Saranya A. Kalavathi S. Krishnaprakash |
| author_facet | Florentin Smarandache A. Saranya A. Kalavathi S. Krishnaprakash |
| author_sort | Florentin Smarandache |
| collection | DOAJ |
| description | Neutrosophic SuperHyperSoft Sets (NSHSS) represent an innovative extension of traditional soft set theory, integrating the principles of Neutrosophy to address uncertainties in decision-making processes. In this study, we recall the NSHSS and establish its foundational principles, including the relationships between various attributes and their corresponding values. The framework facilitates a structured evaluation process, allowing decision-makers to assess multiple proposals based on criteria such as environmental impact, feasibility, community engagement, cost effectiveness, and innovation. Each criterion is categorized into distinct levels, ranging from low to transformative, thereby enabling a nuanced analysis of project proposals. Through illustrative examples and tabular representations, we demonstrate the practical applications of NSHSS in selecting projects with the highest potential for positive environmental impact. The findings indicate that NSHSS can significantly enhance the decision-making process, ensuring that resources are allocated efficiently to initiatives that align with sustainability goals. |
| format | Article |
| id | doaj-art-bf2139b760e045fcbcfe7b89f5239013 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-03-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-bf2139b760e045fcbcfe7b89f52390132025-08-20T03:47:06ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-03-0177415310.5281/zenodo.14062236Neutrosophic SuperHyperSoft SetsFlorentin SmarandacheA. SaranyaA. KalavathiS. KrishnaprakashNeutrosophic SuperHyperSoft Sets (NSHSS) represent an innovative extension of traditional soft set theory, integrating the principles of Neutrosophy to address uncertainties in decision-making processes. In this study, we recall the NSHSS and establish its foundational principles, including the relationships between various attributes and their corresponding values. The framework facilitates a structured evaluation process, allowing decision-makers to assess multiple proposals based on criteria such as environmental impact, feasibility, community engagement, cost effectiveness, and innovation. Each criterion is categorized into distinct levels, ranging from low to transformative, thereby enabling a nuanced analysis of project proposals. Through illustrative examples and tabular representations, we demonstrate the practical applications of NSHSS in selecting projects with the highest potential for positive environmental impact. The findings indicate that NSHSS can significantly enhance the decision-making process, ensuring that resources are allocated efficiently to initiatives that align with sustainability goals.https://fs.unm.edu/NSS/SuperHyperSoft3.pdfneutrosophic superhypersoft setsextension of neutrosophic hypersoft setsextension of superhypersoft setsenvironmental sustainability |
| spellingShingle | Florentin Smarandache A. Saranya A. Kalavathi S. Krishnaprakash Neutrosophic SuperHyperSoft Sets Neutrosophic Sets and Systems neutrosophic superhypersoft sets extension of neutrosophic hypersoft sets extension of superhypersoft sets environmental sustainability |
| title | Neutrosophic SuperHyperSoft Sets |
| title_full | Neutrosophic SuperHyperSoft Sets |
| title_fullStr | Neutrosophic SuperHyperSoft Sets |
| title_full_unstemmed | Neutrosophic SuperHyperSoft Sets |
| title_short | Neutrosophic SuperHyperSoft Sets |
| title_sort | neutrosophic superhypersoft sets |
| topic | neutrosophic superhypersoft sets extension of neutrosophic hypersoft sets extension of superhypersoft sets environmental sustainability |
| url | https://fs.unm.edu/NSS/SuperHyperSoft3.pdf |
| work_keys_str_mv | AT florentinsmarandache neutrosophicsuperhypersoftsets AT asaranya neutrosophicsuperhypersoftsets AT akalavathi neutrosophicsuperhypersoftsets AT skrishnaprakash neutrosophicsuperhypersoftsets |