Application of Neutrosophic SuperHyperSoft Sets in MADM
In this work, we introduce the concept of Neutrosophic SuperHyperSoft Sets (NSHSS) by considering a universe of discourse and disjoint attribute structures, and develop fundamental operations including addition, multiplication, scalar multiplication, and scalar exponentiation. A novel Neutrosophic S...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-06-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/35NeutrosophicSuperHyperSoft.pdf |
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| _version_ | 1849232899460562944 |
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| author | Ramesh Ramasamy Krishnaprakash Shanmugavel Florentin Smarandache |
| author_facet | Ramesh Ramasamy Krishnaprakash Shanmugavel Florentin Smarandache |
| author_sort | Ramesh Ramasamy |
| collection | DOAJ |
| description | In this work, we introduce the concept of Neutrosophic SuperHyperSoft Sets (NSHSS) by considering a universe of discourse and disjoint attribute structures, and develop fundamental operations including addition, multiplication, scalar multiplication, and scalar exponentiation. A novel Neutrosophic SuperHyperSoft Weighted Aggregation (NSHSWA) operator is proposed, and a new entropy measure is defined to quantify uncertainty, with its theoretical properties validated. Building on this, we propose a Multi-Attribute Decision-Making (MADM) framework for selecting optimal mobile phones by combining NSHSS with entropy-based weighting. Five primary criteria- operational efficiency, power endurance, imaging capability, cost, and robustness are evaluated using power sets and neutrosophic modelling to capture uncertainty in user preferences. Subjective linguistic evaluations are mapped to neutrosophic values, and aggregated using the NSHSWA operator. Among 162 propositions constructed, the top alternatives are identified and ranked using a neutrosophic score function. The proposed methodology offers a comprehensive and reliable tool for guiding consumers toward selecting high quality mobile phones based on personalized needs, while providing a strong foundation for future uncertain information modelling and decision support. |
| format | Article |
| id | doaj-art-56569dff83c546109d1d49a20db2885c |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-56569dff83c546109d1d49a20db2885c2025-08-20T16:43:04ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-06-018563664910.5281/zenodo.15314856Application of Neutrosophic SuperHyperSoft Sets in MADMRamesh RamasamyKrishnaprakash Shanmugavel Florentin SmarandacheIn this work, we introduce the concept of Neutrosophic SuperHyperSoft Sets (NSHSS) by considering a universe of discourse and disjoint attribute structures, and develop fundamental operations including addition, multiplication, scalar multiplication, and scalar exponentiation. A novel Neutrosophic SuperHyperSoft Weighted Aggregation (NSHSWA) operator is proposed, and a new entropy measure is defined to quantify uncertainty, with its theoretical properties validated. Building on this, we propose a Multi-Attribute Decision-Making (MADM) framework for selecting optimal mobile phones by combining NSHSS with entropy-based weighting. Five primary criteria- operational efficiency, power endurance, imaging capability, cost, and robustness are evaluated using power sets and neutrosophic modelling to capture uncertainty in user preferences. Subjective linguistic evaluations are mapped to neutrosophic values, and aggregated using the NSHSWA operator. Among 162 propositions constructed, the top alternatives are identified and ranked using a neutrosophic score function. The proposed methodology offers a comprehensive and reliable tool for guiding consumers toward selecting high quality mobile phones based on personalized needs, while providing a strong foundation for future uncertain information modelling and decision support. https://fs.unm.edu/NSS/35NeutrosophicSuperHyperSoft.pdfneutrosophic superhypersoft setssuperhypersoft setsneutrosophic soft setsneutrosophic sets |
| spellingShingle | Ramesh Ramasamy Krishnaprakash Shanmugavel Florentin Smarandache Application of Neutrosophic SuperHyperSoft Sets in MADM Neutrosophic Sets and Systems neutrosophic superhypersoft sets superhypersoft sets neutrosophic soft sets neutrosophic sets |
| title | Application of Neutrosophic SuperHyperSoft Sets in MADM |
| title_full | Application of Neutrosophic SuperHyperSoft Sets in MADM |
| title_fullStr | Application of Neutrosophic SuperHyperSoft Sets in MADM |
| title_full_unstemmed | Application of Neutrosophic SuperHyperSoft Sets in MADM |
| title_short | Application of Neutrosophic SuperHyperSoft Sets in MADM |
| title_sort | application of neutrosophic superhypersoft sets in madm |
| topic | neutrosophic superhypersoft sets superhypersoft sets neutrosophic soft sets neutrosophic sets |
| url | https://fs.unm.edu/NSS/35NeutrosophicSuperHyperSoft.pdf |
| work_keys_str_mv | AT rameshramasamy applicationofneutrosophicsuperhypersoftsetsinmadm AT krishnaprakashshanmugavel applicationofneutrosophicsuperhypersoftsetsinmadm AT florentinsmarandache applicationofneutrosophicsuperhypersoftsetsinmadm |