Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment
Interval-valued dual hesitant fuzzy set (IVDHFS) as an extended structure of hesitant fuzzy set (HFS), interval-valued HFS and dual hesitant fuzzy set (DHFS) has been developed and applied in multi-attribute decision-making (MADM) problem. While deciding the membership degree (MD) and nonmembership...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer
2020-12-01
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| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125948354/view |
| _version_ | 1811302067216580608 |
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| author | Sumera Naz Muhammad Akram Samirah Alsulami Faiza Ziaa |
| author_facet | Sumera Naz Muhammad Akram Samirah Alsulami Faiza Ziaa |
| author_sort | Sumera Naz |
| collection | DOAJ |
| description | Interval-valued dual hesitant fuzzy set (IVDHFS) as an extended structure of hesitant fuzzy set (HFS), interval-valued HFS and dual hesitant fuzzy set (DHFS) has been developed and applied in multi-attribute decision-making (MADM) problem. While deciding the membership degree (MD) and nonmembership degree (NMD) in q-rung orthopair fuzzy condition, decision makers perhaps hesitant among a lot of values, and the q-rung orthopair dual hesitant fuzzy sets (q-RODHFSs) were proposed. Decision makers prefer to utilize interval values, instated of crisp numbers, to represent MD and NMD in MADM problems. In this paper, we propose the novel idea of interval-valued q-rung orthopair dual hesitant fuzzy graphs, in the light of Hamacher operator, called interval-valued q-rung orthopair dual hesitant fuzzy Hamacher graphs (IV q-RODHFHGs) and determine its energy. Further, we develop the new concepts of Zagreb energy and Harmonic energy of IV q-RODHFHGs. Moreover, we apply the proposed concept of IV q-RODHFHGs to solve the MADM problems with IV q-RODHF information. Finally, a numerical model relating to the evaluation of the performance of search and rescue robots is presented to show the utilization of the developed technique. To interpret the effectiveness and the validity of the proposed method, a comparison analysis with the established approaches is conducted. |
| first_indexed | 2024-04-13T07:21:16Z |
| format | Article |
| id | doaj.art-7c744f1f433649b28f7fc85c732e5ab1 |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-13T07:21:16Z |
| publishDate | 2020-12-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-7c744f1f433649b28f7fc85c732e5ab12022-12-22T02:56:37ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832020-12-0114110.2991/ijcis.d.201204.001Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy EnvironmentSumera NazMuhammad AkramSamirah AlsulamiFaiza ZiaaInterval-valued dual hesitant fuzzy set (IVDHFS) as an extended structure of hesitant fuzzy set (HFS), interval-valued HFS and dual hesitant fuzzy set (DHFS) has been developed and applied in multi-attribute decision-making (MADM) problem. While deciding the membership degree (MD) and nonmembership degree (NMD) in q-rung orthopair fuzzy condition, decision makers perhaps hesitant among a lot of values, and the q-rung orthopair dual hesitant fuzzy sets (q-RODHFSs) were proposed. Decision makers prefer to utilize interval values, instated of crisp numbers, to represent MD and NMD in MADM problems. In this paper, we propose the novel idea of interval-valued q-rung orthopair dual hesitant fuzzy graphs, in the light of Hamacher operator, called interval-valued q-rung orthopair dual hesitant fuzzy Hamacher graphs (IV q-RODHFHGs) and determine its energy. Further, we develop the new concepts of Zagreb energy and Harmonic energy of IV q-RODHFHGs. Moreover, we apply the proposed concept of IV q-RODHFHGs to solve the MADM problems with IV q-RODHF information. Finally, a numerical model relating to the evaluation of the performance of search and rescue robots is presented to show the utilization of the developed technique. To interpret the effectiveness and the validity of the proposed method, a comparison analysis with the established approaches is conducted.https://www.atlantis-press.com/article/125948354/viewInterval-valued q-rung orthopair dual hesitant fuzzy graphsHamacher operatorZagreb energyHarmonic energySearch and rescue robots |
| spellingShingle | Sumera Naz Muhammad Akram Samirah Alsulami Faiza Ziaa Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment International Journal of Computational Intelligence Systems Interval-valued q-rung orthopair dual hesitant fuzzy graphs Hamacher operator Zagreb energy Harmonic energy Search and rescue robots |
| title | Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment |
| title_full | Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment |
| title_fullStr | Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment |
| title_full_unstemmed | Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment |
| title_short | Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment |
| title_sort | decision making analysis under interval valued q rung orthopair dual hesitant fuzzy environment |
| topic | Interval-valued q-rung orthopair dual hesitant fuzzy graphs Hamacher operator Zagreb energy Harmonic energy Search and rescue robots |
| url | https://www.atlantis-press.com/article/125948354/view |
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