An Advanced Uncertainty Measure Using Fuzzy Soft Sets: Application to Decision-Making Problems
In this paper, uncertainty has been measured in the form of fuzziness which arises due to imprecise boundaries of fuzzy sets. Uncertainty caused due to human’s cognition can be decreased by the use of fuzzy soft sets. There are different approaches to deal with the measurement of uncertainty. The me...
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Tsinghua University Press
2021-06-01
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| Series: | Big Data Mining and Analytics |
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| Online Access: | https://www.sciopen.com/article/10.26599/BDMA.2020.9020020 |
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| author | Nitin Bhardwaj Pallvi Sharma |
| author_facet | Nitin Bhardwaj Pallvi Sharma |
| author_sort | Nitin Bhardwaj |
| collection | DOAJ |
| description | In this paper, uncertainty has been measured in the form of fuzziness which arises due to imprecise boundaries of fuzzy sets. Uncertainty caused due to human’s cognition can be decreased by the use of fuzzy soft sets. There are different approaches to deal with the measurement of uncertainty. The method we proposed uses fuzzified evidence theory to calculate total degree of fuzziness of the parameters. It consists of mainly four parts. The first part is to measure uncertainties of parameters using fuzzy soft sets and then to modulate the uncertainties calculated. Afterward, the appropriate basic probability assignments with respect to each parameter are produced. In the last, we use Dempster’s rule of combination to fuse independent parameters into integrated one. To validate the proposed method, we perform an experiment and compare our outputs with grey relational analysis method. Also, a medical diagnosis application in reference to COVID-19 has been given to show the effectiveness of advanced method by comparing with other method. |
| format | Article |
| id | doaj-art-dfb43d9c05054365aa4a650a09391b35 |
| institution | Kabale University |
| issn | 2096-0654 |
| language | English |
| publishDate | 2021-06-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Big Data Mining and Analytics |
| spelling | doaj-art-dfb43d9c05054365aa4a650a09391b352025-02-02T03:45:09ZengTsinghua University PressBig Data Mining and Analytics2096-06542021-06-01429410310.26599/BDMA.2020.9020020An Advanced Uncertainty Measure Using Fuzzy Soft Sets: Application to Decision-Making ProblemsNitin Bhardwaj0Pallvi Sharma1<institution content-type="dept">Department of Mathematics</institution>, <institution>Lovely Professional University</institution>, <city>Punjab</city> <postal-code>144411</postal-code>, <country>India</country><institution content-type="dept">Department of Mathematics</institution>, <institution>Lovely Professional University</institution>, <city>Punjab</city> <postal-code>144411</postal-code>, <country>India</country>In this paper, uncertainty has been measured in the form of fuzziness which arises due to imprecise boundaries of fuzzy sets. Uncertainty caused due to human’s cognition can be decreased by the use of fuzzy soft sets. There are different approaches to deal with the measurement of uncertainty. The method we proposed uses fuzzified evidence theory to calculate total degree of fuzziness of the parameters. It consists of mainly four parts. The first part is to measure uncertainties of parameters using fuzzy soft sets and then to modulate the uncertainties calculated. Afterward, the appropriate basic probability assignments with respect to each parameter are produced. In the last, we use Dempster’s rule of combination to fuse independent parameters into integrated one. To validate the proposed method, we perform an experiment and compare our outputs with grey relational analysis method. Also, a medical diagnosis application in reference to COVID-19 has been given to show the effectiveness of advanced method by comparing with other method.https://www.sciopen.com/article/10.26599/BDMA.2020.9020020fuzzy soft setsdempster-shafer theorygrey relational analysisentropybelief measures and medical diagnosis |
| spellingShingle | Nitin Bhardwaj Pallvi Sharma An Advanced Uncertainty Measure Using Fuzzy Soft Sets: Application to Decision-Making Problems Big Data Mining and Analytics fuzzy soft sets dempster-shafer theory grey relational analysis entropy belief measures and medical diagnosis |
| title | An Advanced Uncertainty Measure Using Fuzzy Soft Sets: Application to Decision-Making Problems |
| title_full | An Advanced Uncertainty Measure Using Fuzzy Soft Sets: Application to Decision-Making Problems |
| title_fullStr | An Advanced Uncertainty Measure Using Fuzzy Soft Sets: Application to Decision-Making Problems |
| title_full_unstemmed | An Advanced Uncertainty Measure Using Fuzzy Soft Sets: Application to Decision-Making Problems |
| title_short | An Advanced Uncertainty Measure Using Fuzzy Soft Sets: Application to Decision-Making Problems |
| title_sort | advanced uncertainty measure using fuzzy soft sets application to decision making problems |
| topic | fuzzy soft sets dempster-shafer theory grey relational analysis entropy belief measures and medical diagnosis |
| url | https://www.sciopen.com/article/10.26599/BDMA.2020.9020020 |
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