On Parametric Divergence Measure of Neutrosophic Sets with its Application in Decision-making Models
In various decision-making models the divergence measure is found to be a useful information measure in handling impreciseness and uncertainty among the qualitative and quantitative factors of the decision-making process. In the proposed work, a novel parametric divergence measure for neutrosophic s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2019-11-01
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| Series: | Neutrosophic Sets and Systems |
| Online Access: | http://fs.unm.edu/NSS/OnParametricDivergence.pdf |
| _version_ | 1818145339461337088 |
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| author | Abhishek Guleria Saurabh Srivastava Rakesh Kumar Bajaj |
| author_facet | Abhishek Guleria Saurabh Srivastava Rakesh Kumar Bajaj |
| author_sort | Abhishek Guleria |
| collection | DOAJ |
| description | In various decision-making models the divergence measure is found to be a useful information measure in handling impreciseness and uncertainty among the qualitative and quantitative factors of the decision-making process. In the proposed work, a novel parametric divergence measure for neutrosophic sets has been proposed along with its various properties. On the basis of the proposed parametric divergence measure, we have outlined some methodologies along with its implementing procedural steps for classification problem (pattern recognition problem, medical diagnosis problem) and multi criteria decision making problem. Also, numerical examples for the application problems have been provided for illustration of the proposed methodologies. Comparative remarks along with necessary observations and advantages have also been presented in view of the existing appraoches. |
| first_indexed | 2024-12-11T12:01:53Z |
| format | Article |
| id | doaj.art-43bd6628f3cc4c18b27f2d75178ee2d6 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-11T12:01:53Z |
| publishDate | 2019-11-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-43bd6628f3cc4c18b27f2d75178ee2d62022-12-22T01:08:03ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2019-11-012910112010.5281/zenodo.3514411On Parametric Divergence Measure of Neutrosophic Sets with its Application in Decision-making ModelsAbhishek GuleriaSaurabh SrivastavaRakesh Kumar BajajIn various decision-making models the divergence measure is found to be a useful information measure in handling impreciseness and uncertainty among the qualitative and quantitative factors of the decision-making process. In the proposed work, a novel parametric divergence measure for neutrosophic sets has been proposed along with its various properties. On the basis of the proposed parametric divergence measure, we have outlined some methodologies along with its implementing procedural steps for classification problem (pattern recognition problem, medical diagnosis problem) and multi criteria decision making problem. Also, numerical examples for the application problems have been provided for illustration of the proposed methodologies. Comparative remarks along with necessary observations and advantages have also been presented in view of the existing appraoches.http://fs.unm.edu/NSS/OnParametricDivergence.pdf |
| spellingShingle | Abhishek Guleria Saurabh Srivastava Rakesh Kumar Bajaj On Parametric Divergence Measure of Neutrosophic Sets with its Application in Decision-making Models Neutrosophic Sets and Systems |
| title | On Parametric Divergence Measure of Neutrosophic Sets with its Application in Decision-making Models |
| title_full | On Parametric Divergence Measure of Neutrosophic Sets with its Application in Decision-making Models |
| title_fullStr | On Parametric Divergence Measure of Neutrosophic Sets with its Application in Decision-making Models |
| title_full_unstemmed | On Parametric Divergence Measure of Neutrosophic Sets with its Application in Decision-making Models |
| title_short | On Parametric Divergence Measure of Neutrosophic Sets with its Application in Decision-making Models |
| title_sort | on parametric divergence measure of neutrosophic sets with its application in decision making models |
| url | http://fs.unm.edu/NSS/OnParametricDivergence.pdf |
| work_keys_str_mv | AT abhishekguleria onparametricdivergencemeasureofneutrosophicsetswithitsapplicationindecisionmakingmodels AT saurabhsrivastava onparametricdivergencemeasureofneutrosophicsetswithitsapplicationindecisionmakingmodels AT rakeshkumarbajaj onparametricdivergencemeasureofneutrosophicsetswithitsapplicationindecisionmakingmodels |