Neutrosophic Linguistic Rhotrix in Managerial Decision Making
The developments in rhotrix theory and their applications are unveiled at recent times. This research work proposes the notion of linguistic rhotrix conjoining the theories of linguistic matrix and rhotrix. The theory of linguistic rhotrix comprising fundamental definitions, operators and classifica...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-04-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/12LinguisticRhotrix.pdf |
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| _version_ | 1849224474103119872 |
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| author | Florentin Smarandache R. Priya Nivetha Martin |
| author_facet | Florentin Smarandache R. Priya Nivetha Martin |
| author_sort | Florentin Smarandache |
| collection | DOAJ |
| description | The developments in rhotrix theory and their applications are unveiled at recent times. This research work proposes the notion of linguistic rhotrix conjoining the theories of linguistic matrix and rhotrix. The theory of linguistic rhotrix comprising fundamental definitions, operators and classifications is presented in this study. The algorithmic framework of applying linguistic rhotrix to decisioning problem is presented in this work. A managerial decision-making illustration is putforth to validate the proposed decisioning framework based on neutrosophic quantifications of linguistic rhotrix. The results obtained are compared with fuzzy and intuitionistic fuzzy quantifications to demonstrate the efficacy of neutrosophic quantifications of linguistic variables. The results obtained using neutrosophic quantifications are more optimal and reliable in comparisons with the other two quantifications. The proposed decisioning approach based on neutrosophic linguistic rhotrix is more robust and competent in handling intricate decisioning environment. |
| format | Article |
| id | doaj-art-d126e3148d4041db81b9b31db11aec86 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-04-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-d126e3148d4041db81b9b31db11aec862025-08-25T09:24:39ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-04-018119921710.5281/zenodo.14827030Neutrosophic Linguistic Rhotrix in Managerial Decision MakingFlorentin SmarandacheR. PriyaNivetha MartinThe developments in rhotrix theory and their applications are unveiled at recent times. This research work proposes the notion of linguistic rhotrix conjoining the theories of linguistic matrix and rhotrix. The theory of linguistic rhotrix comprising fundamental definitions, operators and classifications is presented in this study. The algorithmic framework of applying linguistic rhotrix to decisioning problem is presented in this work. A managerial decision-making illustration is putforth to validate the proposed decisioning framework based on neutrosophic quantifications of linguistic rhotrix. The results obtained are compared with fuzzy and intuitionistic fuzzy quantifications to demonstrate the efficacy of neutrosophic quantifications of linguistic variables. The results obtained using neutrosophic quantifications are more optimal and reliable in comparisons with the other two quantifications. The proposed decisioning approach based on neutrosophic linguistic rhotrix is more robust and competent in handling intricate decisioning environment. https://fs.unm.edu/NSS/12LinguisticRhotrix.pdflinguistic rhotrixneutrosophy linguistic rhotrixdecisioning |
| spellingShingle | Florentin Smarandache R. Priya Nivetha Martin Neutrosophic Linguistic Rhotrix in Managerial Decision Making Neutrosophic Sets and Systems linguistic rhotrix neutrosophy linguistic rhotrix decisioning |
| title | Neutrosophic Linguistic Rhotrix in Managerial Decision Making |
| title_full | Neutrosophic Linguistic Rhotrix in Managerial Decision Making |
| title_fullStr | Neutrosophic Linguistic Rhotrix in Managerial Decision Making |
| title_full_unstemmed | Neutrosophic Linguistic Rhotrix in Managerial Decision Making |
| title_short | Neutrosophic Linguistic Rhotrix in Managerial Decision Making |
| title_sort | neutrosophic linguistic rhotrix in managerial decision making |
| topic | linguistic rhotrix neutrosophy linguistic rhotrix decisioning |
| url | https://fs.unm.edu/NSS/12LinguisticRhotrix.pdf |
| work_keys_str_mv | AT florentinsmarandache neutrosophiclinguisticrhotrixinmanagerialdecisionmaking AT rpriya neutrosophiclinguisticrhotrixinmanagerialdecisionmaking AT nivethamartin neutrosophiclinguisticrhotrixinmanagerialdecisionmaking |