A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment
The experts used the Pythagorean fuzzy hypersoft set (PFHSS) in their research to discourse ambiguous and vague information in decision-making processes. The aggregation operator (AO) plays a prominent part in the sensitivity of the two forefront loops and eliminates anxiety from that perception. Th...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1951389 |
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| author | Pongsakorn Sunthrayuth Fahd Jarad Jihen Majdoubi Rana Muhammad Zulqarnain Aiyared Iampan Imran Siddique |
| author_facet | Pongsakorn Sunthrayuth Fahd Jarad Jihen Majdoubi Rana Muhammad Zulqarnain Aiyared Iampan Imran Siddique |
| author_sort | Pongsakorn Sunthrayuth |
| collection | DOAJ |
| description | The experts used the Pythagorean fuzzy hypersoft set (PFHSS) in their research to discourse ambiguous and vague information in decision-making processes. The aggregation operator (AO) plays a prominent part in the sensitivity of the two forefront loops and eliminates anxiety from that perception. The PFHSS is the most influential and operative extension of the Pythagorean fuzzy soft set (PFSS), which handles the subparameterized values of alternatives. It is also a generalized form of Intuitionistic fuzzy hypersoft set (IFHSS) that provides better and more accurate assessments in the decision-making (DM) process. In this work, we present some operational laws for Pythagorean fuzzy hypersoft numbers (PFHSNs) and then formulate Pythagorean fuzzy hypersoft Einstein weighted average (PFHSEWA) operator based on developed operational laws. We discuss essential features such as idempotency, boundedness, and homogeneity for the proposed PFHSEWA operator. Furthermore, a DM approach has been developed based on the built-in operator to address multicriteria decision-making (MCDM) issues. A numerical case study of decision-making problems in real-life agricultural farming is considered to validate the settled technique’s dominance and applicability. The consequences display that the planned model is more operative and consistent to handle inexact data based on PFHSS. |
| format | Article |
| id | doaj-art-fa6ae1972765475f9677d946081debfb |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fa6ae1972765475f9677d946081debfb2025-02-03T01:06:38ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1951389A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft EnvironmentPongsakorn Sunthrayuth0Fahd Jarad1Jihen Majdoubi2Rana Muhammad Zulqarnain3Aiyared Iampan4Imran Siddique5Department of Mathematics and Computer Science, Faculty of Science and TechnologyDepartment of MathematicsDepartment of Computer ScienceDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe experts used the Pythagorean fuzzy hypersoft set (PFHSS) in their research to discourse ambiguous and vague information in decision-making processes. The aggregation operator (AO) plays a prominent part in the sensitivity of the two forefront loops and eliminates anxiety from that perception. The PFHSS is the most influential and operative extension of the Pythagorean fuzzy soft set (PFSS), which handles the subparameterized values of alternatives. It is also a generalized form of Intuitionistic fuzzy hypersoft set (IFHSS) that provides better and more accurate assessments in the decision-making (DM) process. In this work, we present some operational laws for Pythagorean fuzzy hypersoft numbers (PFHSNs) and then formulate Pythagorean fuzzy hypersoft Einstein weighted average (PFHSEWA) operator based on developed operational laws. We discuss essential features such as idempotency, boundedness, and homogeneity for the proposed PFHSEWA operator. Furthermore, a DM approach has been developed based on the built-in operator to address multicriteria decision-making (MCDM) issues. A numerical case study of decision-making problems in real-life agricultural farming is considered to validate the settled technique’s dominance and applicability. The consequences display that the planned model is more operative and consistent to handle inexact data based on PFHSS.http://dx.doi.org/10.1155/2022/1951389 |
| spellingShingle | Pongsakorn Sunthrayuth Fahd Jarad Jihen Majdoubi Rana Muhammad Zulqarnain Aiyared Iampan Imran Siddique A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment Journal of Mathematics |
| title | A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment |
| title_full | A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment |
| title_fullStr | A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment |
| title_full_unstemmed | A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment |
| title_short | A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment |
| title_sort | novel multicriteria decision making approach for einstein weighted average operator under pythagorean fuzzy hypersoft environment |
| url | http://dx.doi.org/10.1155/2022/1951389 |
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