A Novel Approach towards Bipolar Soft Sets and Their Applications
The notion of bipolar soft sets has already been defined, but in this article, the notion of bipolar soft sets has been redefined, called T-bipolar soft sets. It is shown that the new approach is more close to the concept of bipolarity as compared to the previous ones, and further it is discussed th...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/4690808 |
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| _version_ | 1832561185937948672 |
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| author | Tahir Mahmood |
| author_facet | Tahir Mahmood |
| author_sort | Tahir Mahmood |
| collection | DOAJ |
| description | The notion of bipolar soft sets has already been defined, but in this article, the notion of bipolar soft sets has been redefined, called T-bipolar soft sets. It is shown that the new approach is more close to the concept of bipolarity as compared to the previous ones, and further it is discussed that so far in the study of soft sets and their generalizations, the concept introduced in this manuscript has never been discussed earlier. We have also discussed the operational laws of T-bipolar soft sets and their basic properties. In the end, we have deliberated the algebraic structures associated with T-bipolar soft sets and the applications of T-bipolar soft sets in decision-making problems. |
| format | Article |
| id | doaj-art-ed77fc56d011494c93160f1b97241132 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ed77fc56d011494c93160f1b972411322025-02-03T01:25:46ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/46908084690808A Novel Approach towards Bipolar Soft Sets and Their ApplicationsTahir Mahmood0Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, PakistanThe notion of bipolar soft sets has already been defined, but in this article, the notion of bipolar soft sets has been redefined, called T-bipolar soft sets. It is shown that the new approach is more close to the concept of bipolarity as compared to the previous ones, and further it is discussed that so far in the study of soft sets and their generalizations, the concept introduced in this manuscript has never been discussed earlier. We have also discussed the operational laws of T-bipolar soft sets and their basic properties. In the end, we have deliberated the algebraic structures associated with T-bipolar soft sets and the applications of T-bipolar soft sets in decision-making problems.http://dx.doi.org/10.1155/2020/4690808 |
| spellingShingle | Tahir Mahmood A Novel Approach towards Bipolar Soft Sets and Their Applications Journal of Mathematics |
| title | A Novel Approach towards Bipolar Soft Sets and Their Applications |
| title_full | A Novel Approach towards Bipolar Soft Sets and Their Applications |
| title_fullStr | A Novel Approach towards Bipolar Soft Sets and Their Applications |
| title_full_unstemmed | A Novel Approach towards Bipolar Soft Sets and Their Applications |
| title_short | A Novel Approach towards Bipolar Soft Sets and Their Applications |
| title_sort | novel approach towards bipolar soft sets and their applications |
| url | http://dx.doi.org/10.1155/2020/4690808 |
| work_keys_str_mv | AT tahirmahmood anovelapproachtowardsbipolarsoftsetsandtheirapplications AT tahirmahmood novelapproachtowardsbipolarsoftsetsandtheirapplications |