Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problem
The softmax function is a well-known generalization of the logistic function. It has been extensively applied in various probabilistic classification methods such as softmax regression, linear discriminant analysis, naive Bayes classifiers, and artificial neural networks. Inspired by the advantages...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2023-08-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/SoftmaxFunctionNeutrosophic16.pdf |
| _version_ | 1797751833573195776 |
|---|---|
| author | Totan Garai Shyamal Dalapati Florentin Smarandache |
| author_facet | Totan Garai Shyamal Dalapati Florentin Smarandache |
| author_sort | Totan Garai |
| collection | DOAJ |
| description | The softmax function is a well-known generalization of the logistic function. It has been extensively applied in various probabilistic classification methods such as softmax regression, linear discriminant analysis, naive Bayes classifiers, and artificial neural networks. Inspired by the advantages of the softmax function, we have developed the softmax function-based single-valued neutrosophic aggregation operators. Then we have es tablished some essential properties of aggregation operators based on the softmax function with the neutrosophic set. Additionally, we have defined a multi-attribute decision-making method based on the proposed aggregation operators. Using the proposed MCDM method, we have developed a novel algorithm. This algorithm helps to examine FD-risk assessment problems. Also, the proposed algorithm process is a reasonable strategy for the decision-making problem. It is easy to recognize when choosing a neutrosophic set of information for a practical decision problem. We used this proposed MADM method to exercise a realistic MADM problem with neutrosophic information. Finally, we have considered one numerical illustration to show the validity and reliability of the proposed methods. |
| first_indexed | 2024-03-12T16:54:20Z |
| format | Article |
| id | doaj.art-1a396c7704d0424d8c8b55bea847b797 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-03-12T16:54:20Z |
| publishDate | 2023-08-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-1a396c7704d0424d8c8b55bea847b7972023-08-08T09:16:04ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2023-08-015621324410.5281/zenodo.8194797Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problemTotan GaraiShyamal DalapatiFlorentin SmarandacheThe softmax function is a well-known generalization of the logistic function. It has been extensively applied in various probabilistic classification methods such as softmax regression, linear discriminant analysis, naive Bayes classifiers, and artificial neural networks. Inspired by the advantages of the softmax function, we have developed the softmax function-based single-valued neutrosophic aggregation operators. Then we have es tablished some essential properties of aggregation operators based on the softmax function with the neutrosophic set. Additionally, we have defined a multi-attribute decision-making method based on the proposed aggregation operators. Using the proposed MCDM method, we have developed a novel algorithm. This algorithm helps to examine FD-risk assessment problems. Also, the proposed algorithm process is a reasonable strategy for the decision-making problem. It is easy to recognize when choosing a neutrosophic set of information for a practical decision problem. We used this proposed MADM method to exercise a realistic MADM problem with neutrosophic information. Finally, we have considered one numerical illustration to show the validity and reliability of the proposed methods.https://fs.unm.edu/NSS/SoftmaxFunctionNeutrosophic16.pdfsoftmax functionsingle valued neutrosophic setaggregation operatormulti attribute decision making strategy |
| spellingShingle | Totan Garai Shyamal Dalapati Florentin Smarandache Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problem Neutrosophic Sets and Systems softmax function single valued neutrosophic set aggregation operator multi attribute decision making strategy |
| title | Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problem |
| title_full | Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problem |
| title_fullStr | Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problem |
| title_full_unstemmed | Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problem |
| title_short | Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problem |
| title_sort | softmax function based neutrosophic aggregation operators and application in multi attribute decision making problem |
| topic | softmax function single valued neutrosophic set aggregation operator multi attribute decision making strategy |
| url | https://fs.unm.edu/NSS/SoftmaxFunctionNeutrosophic16.pdf |
| work_keys_str_mv | AT totangarai softmaxfunctionbasedneutrosophicaggregationoperatorsandapplicationinmultiattributedecisionmakingproblem AT shyamaldalapati softmaxfunctionbasedneutrosophicaggregationoperatorsandapplicationinmultiattributedecisionmakingproblem AT florentinsmarandache softmaxfunctionbasedneutrosophicaggregationoperatorsandapplicationinmultiattributedecisionmakingproblem |