Complex Bipolar-Valued Neutrosophic Soft Set and its Decision-Making Method
We establish the hybrid concept of complex bipolar- valued neutrosophic soft set (CBVNSS) as a hybrid model of bipolar neutrosophic soft set (BNSS)and complex fuzzy set (CFS). A CBVNSS is highly suitable for use in real life situations where the decision makers are interested to deal with bipolarity...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2021-12-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/ComplexBipolarNeutrosophic8.pdf |
| _version_ | 1811250135621959680 |
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| author | Ashraf Al-Quran Shawkat Alkhazaleh Lazim Abdullah |
| author_facet | Ashraf Al-Quran Shawkat Alkhazaleh Lazim Abdullah |
| author_sort | Ashraf Al-Quran |
| collection | DOAJ |
| description | We establish the hybrid concept of complex bipolar- valued neutrosophic soft set (CBVNSS) as a hybrid model of bipolar neutrosophic soft set (BNSS)and complex fuzzy set (CFS). A CBVNSS is highly suitable for use in real life situations where the decision makers are interested to deal with bipolarity as well as truth membership, indeterminacy membership and falsity membership grades to the alternatives in an extended range with complex numbers. Certain operations on CBVNSS like complement, subset, union, and intersection operations are defined. Some related examples are also given to enhance the understanding of the proposed concept. The basic properties are also verified. We then provide a decision-making method on the CBVNSS. Finally, a numerical example has been presented to verify validity and feasibility of the developed method. |
| first_indexed | 2024-04-12T15:58:43Z |
| format | Article |
| id | doaj.art-ce13622a1c8645e5bc196688867eb734 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-12T15:58:43Z |
| publishDate | 2021-12-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-ce13622a1c8645e5bc196688867eb7342022-12-22T03:26:16ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-12-014710511610.5281/zenodo.5775100Complex Bipolar-Valued Neutrosophic Soft Set and its Decision-Making MethodAshraf Al-QuranShawkat AlkhazalehLazim AbdullahWe establish the hybrid concept of complex bipolar- valued neutrosophic soft set (CBVNSS) as a hybrid model of bipolar neutrosophic soft set (BNSS)and complex fuzzy set (CFS). A CBVNSS is highly suitable for use in real life situations where the decision makers are interested to deal with bipolarity as well as truth membership, indeterminacy membership and falsity membership grades to the alternatives in an extended range with complex numbers. Certain operations on CBVNSS like complement, subset, union, and intersection operations are defined. Some related examples are also given to enhance the understanding of the proposed concept. The basic properties are also verified. We then provide a decision-making method on the CBVNSS. Finally, a numerical example has been presented to verify validity and feasibility of the developed method.http://fs.unm.edu/NSS/ComplexBipolarNeutrosophic8.pdfneutrosophic setcomplex neutrosophic setneutrosophic soft setcomplex neutrosophic soft setbipolar neutrosophic soft setdecision making |
| spellingShingle | Ashraf Al-Quran Shawkat Alkhazaleh Lazim Abdullah Complex Bipolar-Valued Neutrosophic Soft Set and its Decision-Making Method Neutrosophic Sets and Systems neutrosophic set complex neutrosophic set neutrosophic soft set complex neutrosophic soft set bipolar neutrosophic soft set decision making |
| title | Complex Bipolar-Valued Neutrosophic Soft Set and its Decision-Making Method |
| title_full | Complex Bipolar-Valued Neutrosophic Soft Set and its Decision-Making Method |
| title_fullStr | Complex Bipolar-Valued Neutrosophic Soft Set and its Decision-Making Method |
| title_full_unstemmed | Complex Bipolar-Valued Neutrosophic Soft Set and its Decision-Making Method |
| title_short | Complex Bipolar-Valued Neutrosophic Soft Set and its Decision-Making Method |
| title_sort | complex bipolar valued neutrosophic soft set and its decision making method |
| topic | neutrosophic set complex neutrosophic set neutrosophic soft set complex neutrosophic soft set bipolar neutrosophic soft set decision making |
| url | http://fs.unm.edu/NSS/ComplexBipolarNeutrosophic8.pdf |
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