A Novel Approach Toward Q-Rung Orthopair Fuzzy Rough Dombi Aggregation Operators and Their Application to Decision-Making Problems
Since three way decision making is a better tool in order to deal with uncertain decision making problem. Therefore, in this paper a three way decision making approach is presented under q-rung orthopair fuzzy rough set environment. We first define some Dombi-operational laws for q-rung orthopair fu...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10092575/ |
| _version_ | 1797847353321848832 |
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| author | Saifullah Khan Maaz Khan Muhammad Sajjad Ali Khan Saleem Abdullah Faisal Khan |
| author_facet | Saifullah Khan Maaz Khan Muhammad Sajjad Ali Khan Saleem Abdullah Faisal Khan |
| author_sort | Saifullah Khan |
| collection | DOAJ |
| description | Since three way decision making is a better tool in order to deal with uncertain decision making problem. Therefore, in this paper a three way decision making approach is presented under q-rung orthopair fuzzy rough set environment. We first define some Dombi-operational laws for q-rung orthopair fuzzy rough set. Further, using the proposed operational laws some q-rung orthopair fuzzy rough Dombi aggregation operators namely, q-Rung Orthopair fuzzy rough Dombi weighted average (q-ROFRDWA) operator, q-Rung Orthopair fuzzy rough Dombi ordered weighted average (q-ROFRDOWA) operator and q-Rung Orthopair fuzzy rough Dombi hybrid weighted average (q-ROFRDHWA) operator are proposed. Also, some properties of the developed operators are investigated in details. Moreover, we present a three way decision making approach based on the developed aggregation operators with q-rung orthopair fuzzy rough set setting. Furthermore, a numerical example is presented for the effectiveness and application of the proposed method. Finally, a comparative study is conducted with other existing methods. |
| first_indexed | 2024-04-09T18:10:00Z |
| format | Article |
| id | doaj.art-5b65bdf47b2d49f5aa35b88dea7cf456 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-09T18:10:00Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-5b65bdf47b2d49f5aa35b88dea7cf4562023-04-13T23:00:49ZengIEEEIEEE Access2169-35362023-01-0111357703578310.1109/ACCESS.2023.326483110092575A Novel Approach Toward Q-Rung Orthopair Fuzzy Rough Dombi Aggregation Operators and Their Application to Decision-Making ProblemsSaifullah Khan0https://orcid.org/0000-0002-6283-8509Maaz Khan1Muhammad Sajjad Ali Khan2https://orcid.org/0000-0003-3683-6582Saleem Abdullah3Faisal Khan4https://orcid.org/0000-0002-8391-6203Department of Mathematics, Faculty of Physical and Numerical Sciences, Abdul Wali Khan University Mardan, Mardan, PakistanDepartment of Mathematics, Faculty of Physical and Numerical Sciences, Abdul Wali Khan University Mardan, Mardan, PakistanDepartment of Mathematics, Khushal Khan Khattak University, Karak, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Faculty of Physical and Numerical Sciences, Abdul Wali Khan University Mardan, Mardan, PakistanDepartment of Electrical and Electronic Engineering, College of Science and Engineering, National University of Ireland Galway, Galway, IrelandSince three way decision making is a better tool in order to deal with uncertain decision making problem. Therefore, in this paper a three way decision making approach is presented under q-rung orthopair fuzzy rough set environment. We first define some Dombi-operational laws for q-rung orthopair fuzzy rough set. Further, using the proposed operational laws some q-rung orthopair fuzzy rough Dombi aggregation operators namely, q-Rung Orthopair fuzzy rough Dombi weighted average (q-ROFRDWA) operator, q-Rung Orthopair fuzzy rough Dombi ordered weighted average (q-ROFRDOWA) operator and q-Rung Orthopair fuzzy rough Dombi hybrid weighted average (q-ROFRDHWA) operator are proposed. Also, some properties of the developed operators are investigated in details. Moreover, we present a three way decision making approach based on the developed aggregation operators with q-rung orthopair fuzzy rough set setting. Furthermore, a numerical example is presented for the effectiveness and application of the proposed method. Finally, a comparative study is conducted with other existing methods.https://ieeexplore.ieee.org/document/10092575/Dombi aggregation operatorsQ-rung orthopair fuzzy rough setthree-way decision makingextended VIKOR methodGRA method |
| spellingShingle | Saifullah Khan Maaz Khan Muhammad Sajjad Ali Khan Saleem Abdullah Faisal Khan A Novel Approach Toward Q-Rung Orthopair Fuzzy Rough Dombi Aggregation Operators and Their Application to Decision-Making Problems IEEE Access Dombi aggregation operators Q-rung orthopair fuzzy rough set three-way decision making extended VIKOR method GRA method |
| title | A Novel Approach Toward Q-Rung Orthopair Fuzzy Rough Dombi Aggregation Operators and Their Application to Decision-Making Problems |
| title_full | A Novel Approach Toward Q-Rung Orthopair Fuzzy Rough Dombi Aggregation Operators and Their Application to Decision-Making Problems |
| title_fullStr | A Novel Approach Toward Q-Rung Orthopair Fuzzy Rough Dombi Aggregation Operators and Their Application to Decision-Making Problems |
| title_full_unstemmed | A Novel Approach Toward Q-Rung Orthopair Fuzzy Rough Dombi Aggregation Operators and Their Application to Decision-Making Problems |
| title_short | A Novel Approach Toward Q-Rung Orthopair Fuzzy Rough Dombi Aggregation Operators and Their Application to Decision-Making Problems |
| title_sort | novel approach toward q rung orthopair fuzzy rough dombi aggregation operators and their application to decision making problems |
| topic | Dombi aggregation operators Q-rung orthopair fuzzy rough set three-way decision making extended VIKOR method GRA method |
| url | https://ieeexplore.ieee.org/document/10092575/ |
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