Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making
The cubic q-rung orthopair fuzzy set (Cq-ROFS) contains much more information to determine the interval valued q-rung orthopair fuzzy sets (IVq-ROFSs) and q-rung orthopair fuzzy sets (q-ROFSs) simultaneously for coping with the vagueness in information. It provides more space for decision makers (DM...
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MDPI AG
2020-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/7/1125 |
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| author | Baosheng Zhang Tahir Mahmood Jabbar Ahmmad Qaisar Khan Zeeshan Ali Shouzhen Zeng |
| author_facet | Baosheng Zhang Tahir Mahmood Jabbar Ahmmad Qaisar Khan Zeeshan Ali Shouzhen Zeng |
| author_sort | Baosheng Zhang |
| collection | DOAJ |
| description | The cubic q-rung orthopair fuzzy set (Cq-ROFS) contains much more information to determine the interval valued q-rung orthopair fuzzy sets (IVq-ROFSs) and q-rung orthopair fuzzy sets (q-ROFSs) simultaneously for coping with the vagueness in information. It provides more space for decision makers (DMs) to describe their opinion in the environment of fuzzy set (FS) theory. In this paper, firstly, we introduce the conception of Cq-ROFS and their characteristics. Further, the Heronian mean (HM) operator based on Cq-ROFS, called the weighted HM operator, are explored. To overcome the deficiency of HM operator and keeping in mind the partitioned structure in real decision situations, we offer Cubic q-rung orthopair fuzzy partitioned HM operator and its weighted shape. An algorithm of the proposed operators based on multi-attribute group decision making (MAGDM) problems for the selection of best alternative among the given ones is established. Lastly, we provide an example to depict the authenticity and advantages of the exposed methods by contrasting with other existing drawbacks. |
| first_indexed | 2024-03-10T18:35:54Z |
| format | Article |
| id | doaj.art-ba2aa0e875b04c6fbccc3bb823620cd2 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:35:54Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ba2aa0e875b04c6fbccc3bb823620cd22023-11-20T06:17:52ZengMDPI AGMathematics2227-73902020-07-0187112510.3390/math8071125Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision MakingBaosheng Zhang0Tahir Mahmood1Jabbar Ahmmad2Qaisar Khan3Zeeshan Ali4Shouzhen Zeng5College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaDepartment of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 46000, PakistanDepartment of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 46000, PakistanDepartment of Mathematics Northern University Nowshera, Nowshera 24110, PakistanDepartment of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 46000, PakistanSchool of Business, Ningbo University, Ningbo 315211, ChinaThe cubic q-rung orthopair fuzzy set (Cq-ROFS) contains much more information to determine the interval valued q-rung orthopair fuzzy sets (IVq-ROFSs) and q-rung orthopair fuzzy sets (q-ROFSs) simultaneously for coping with the vagueness in information. It provides more space for decision makers (DMs) to describe their opinion in the environment of fuzzy set (FS) theory. In this paper, firstly, we introduce the conception of Cq-ROFS and their characteristics. Further, the Heronian mean (HM) operator based on Cq-ROFS, called the weighted HM operator, are explored. To overcome the deficiency of HM operator and keeping in mind the partitioned structure in real decision situations, we offer Cubic q-rung orthopair fuzzy partitioned HM operator and its weighted shape. An algorithm of the proposed operators based on multi-attribute group decision making (MAGDM) problems for the selection of best alternative among the given ones is established. Lastly, we provide an example to depict the authenticity and advantages of the exposed methods by contrasting with other existing drawbacks.https://www.mdpi.com/2227-7390/8/7/1125cubic q-rung orthopair fuzzy setsHeronian mean operatorspartitioned structuremulti-attribute group decision making |
| spellingShingle | Baosheng Zhang Tahir Mahmood Jabbar Ahmmad Qaisar Khan Zeeshan Ali Shouzhen Zeng Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making Mathematics cubic q-rung orthopair fuzzy sets Heronian mean operators partitioned structure multi-attribute group decision making |
| title | Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making |
| title_full | Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making |
| title_fullStr | Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making |
| title_full_unstemmed | Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making |
| title_short | Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making |
| title_sort | cubic q rung orthopair fuzzy heronian mean operators and their applications to multi attribute group decision making |
| topic | cubic q-rung orthopair fuzzy sets Heronian mean operators partitioned structure multi-attribute group decision making |
| url | https://www.mdpi.com/2227-7390/8/7/1125 |
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