Novel Multicriteria Decision Making Approach for Interactive Aggregation Operators of q-Rung Orthopair Fuzzy Soft Set
The q-rung orthopair fuzzy soft set is an advanced leeway of orthopair fuzzy sets, such as intuitionistic fuzzy soft set (IFSS) and Pythagorean fuzzy soft set (PFSS). The very lax requirement gives the evaluators excessive freedom to express their beliefs about membership degrees and non-membership...
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IEEE
2022-01-01
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| Online Access: | https://ieeexplore.ieee.org/document/9783174/ |
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| author | Rana Muhammad Zulqarnain Imran Siddique Aiyared Iampan Jan Awrejcewicz Maksymilian Bednarek Rifaqat Ali Muhammad Asif |
| author_facet | Rana Muhammad Zulqarnain Imran Siddique Aiyared Iampan Jan Awrejcewicz Maksymilian Bednarek Rifaqat Ali Muhammad Asif |
| author_sort | Rana Muhammad Zulqarnain |
| collection | DOAJ |
| description | The q-rung orthopair fuzzy soft set is an advanced leeway of orthopair fuzzy sets, such as intuitionistic fuzzy soft set (IFSS) and Pythagorean fuzzy soft set (PFSS). The very lax requirement gives the evaluators excessive freedom to express their beliefs about membership degrees and non-membership degrees, making q-rung orthopair fuzzy soft set (q-ROFSS) have a broad scope of application in practical life. Considering the interaction, this paper will develop some novel operational laws for q- rung orthopair fuzzy soft numbers (q-ROFSNs). Some aggregation operators (AOs) such as q-rung orthopair fuzzy soft interactive weighted average (q-ROFSIWA) and q-rung orthopair fuzzy soft interactive weighted geometric (q-ROFSIWG) operators have been introduced. Also, we will prove some desirable properties such as idempotency, boundedness, and homogeneity for q-ROFSIWA and q-ROFSIWG operators. Multi-criteria decision-making (MCDM) plays a vital role to deals with the complications in manufacturing design for material selection. But, the prevailing MCDM methods habitually deliver incompatible outcomes. Based on the projected interactive aggregation operators, a robust MCDM method is planned for material selection in manufacturing design to accommodate this drawback. Furthermore, a comprehensive comparative analysis has been presented to confirm the pragmatism and validity of the proposed technique with some already available methods. The obtained outcomes through comparative studies show that our developed method is more efficient than existing approaches. |
| format | Article |
| id | doaj-art-6be7264ba7594af8adbfd35ab38bf0e7 |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-6be7264ba7594af8adbfd35ab38bf0e72025-01-30T00:00:23ZengIEEEIEEE Access2169-35362022-01-0110596405966010.1109/ACCESS.2022.31785959783174Novel Multicriteria Decision Making Approach for Interactive Aggregation Operators of q-Rung Orthopair Fuzzy Soft SetRana Muhammad Zulqarnain0https://orcid.org/0000-0002-2656-8679Imran Siddique1Aiyared Iampan2https://orcid.org/0000-0002-0475-3320Jan Awrejcewicz3https://orcid.org/0000-0003-0387-921XMaksymilian Bednarek4Rifaqat Ali5Muhammad Asif6https://orcid.org/0000-0001-5684-4737Department of Mathematics, University of Management and Technology, Sialkot, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, School of Science, University of Phayao, Phayao, ThailandDepartment of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, PolandDepartment of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, PolandDepartment of Mathematics, College of Science and Arts, Muhayil, King Khalid University, Abha, Saudi ArabiaDepartment of Mathematics, University of Management and Technology, Sialkot, PakistanThe q-rung orthopair fuzzy soft set is an advanced leeway of orthopair fuzzy sets, such as intuitionistic fuzzy soft set (IFSS) and Pythagorean fuzzy soft set (PFSS). The very lax requirement gives the evaluators excessive freedom to express their beliefs about membership degrees and non-membership degrees, making q-rung orthopair fuzzy soft set (q-ROFSS) have a broad scope of application in practical life. Considering the interaction, this paper will develop some novel operational laws for q- rung orthopair fuzzy soft numbers (q-ROFSNs). Some aggregation operators (AOs) such as q-rung orthopair fuzzy soft interactive weighted average (q-ROFSIWA) and q-rung orthopair fuzzy soft interactive weighted geometric (q-ROFSIWG) operators have been introduced. Also, we will prove some desirable properties such as idempotency, boundedness, and homogeneity for q-ROFSIWA and q-ROFSIWG operators. Multi-criteria decision-making (MCDM) plays a vital role to deals with the complications in manufacturing design for material selection. But, the prevailing MCDM methods habitually deliver incompatible outcomes. Based on the projected interactive aggregation operators, a robust MCDM method is planned for material selection in manufacturing design to accommodate this drawback. Furthermore, a comprehensive comparative analysis has been presented to confirm the pragmatism and validity of the proposed technique with some already available methods. The obtained outcomes through comparative studies show that our developed method is more efficient than existing approaches.https://ieeexplore.ieee.org/document/9783174/MCDMq-rung orthopair fuzzy soft setq-ROFSIWA operatorq-ROFSIWG operator |
| spellingShingle | Rana Muhammad Zulqarnain Imran Siddique Aiyared Iampan Jan Awrejcewicz Maksymilian Bednarek Rifaqat Ali Muhammad Asif Novel Multicriteria Decision Making Approach for Interactive Aggregation Operators of q-Rung Orthopair Fuzzy Soft Set IEEE Access MCDM q-rung orthopair fuzzy soft set q-ROFSIWA operator q-ROFSIWG operator |
| title | Novel Multicriteria Decision Making Approach for Interactive Aggregation Operators of q-Rung Orthopair Fuzzy Soft Set |
| title_full | Novel Multicriteria Decision Making Approach for Interactive Aggregation Operators of q-Rung Orthopair Fuzzy Soft Set |
| title_fullStr | Novel Multicriteria Decision Making Approach for Interactive Aggregation Operators of q-Rung Orthopair Fuzzy Soft Set |
| title_full_unstemmed | Novel Multicriteria Decision Making Approach for Interactive Aggregation Operators of q-Rung Orthopair Fuzzy Soft Set |
| title_short | Novel Multicriteria Decision Making Approach for Interactive Aggregation Operators of q-Rung Orthopair Fuzzy Soft Set |
| title_sort | novel multicriteria decision making approach for interactive aggregation operators of q rung orthopair fuzzy soft set |
| topic | MCDM q-rung orthopair fuzzy soft set q-ROFSIWA operator q-ROFSIWG operator |
| url | https://ieeexplore.ieee.org/document/9783174/ |
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