Performance Evaluation of Solar Energy Cells Using the Interval-Valued T-Spherical Fuzzy Bonferroni Mean Operators
To find the correspondence between every number of attributes, the Bonferroni mean (BM) operator is most widely used and proven to be a flexible approach. To express uncertain information, the frame of the interval-valued T-spherical fuzzy set (IVTSFS) is a recent development in fuzzy settings which...
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MDPI AG
2022-01-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/15/1/292 |
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| author | Maria Akram Kifayat Ullah Dragan Pamucar |
| author_facet | Maria Akram Kifayat Ullah Dragan Pamucar |
| author_sort | Maria Akram |
| collection | DOAJ |
| description | To find the correspondence between every number of attributes, the Bonferroni mean (BM) operator is most widely used and proven to be a flexible approach. To express uncertain information, the frame of the interval-valued T-spherical fuzzy set (IVTSFS) is a recent development in fuzzy settings which discusses four aspects of uncertain information using closed sub-intervals of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>[</mo><mrow><mn>0</mn><mo>,</mo><mn>1</mn></mrow><mo>]</mo></mrow></mrow></semantics></math></inline-formula> and hence reduces the information loss greatly. In this research study, we introduced the principle of BM operators with IVTSFS to develop the principle of the inter-valued T-spherical fuzzy (IVTSF) BM (IVTSFBM) operator, the IVTSF-weighted BM (IVTSFWBM) operator, the IVTSF geometric BM (IVTSFGBM) operator, and the IVTSF-weighted geometric BM (IVTSFWGBM) operator. To see the significance of the proposed BM operators, we applied these BM operators to evaluate the performance of solar cells that play an important role in the field of energy storage. To do so, we developed a multi-attribute group decision-making (MAGDM) procedure based on IVTSF information and applied it to the problem of solar cells to evaluate their performance under uncertainty, where four aspects of opinion about solar cells were taken into consideration. We studied the results obtained using BM operators with some previous operators to see the significance of the proposed IVTSF BM operators. |
| first_indexed | 2024-03-10T03:42:11Z |
| format | Article |
| id | doaj.art-163264a8ec4b4986bb30f896648b717a |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T03:42:11Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-163264a8ec4b4986bb30f896648b717a2023-11-23T11:28:27ZengMDPI AGEnergies1996-10732022-01-0115129210.3390/en15010292Performance Evaluation of Solar Energy Cells Using the Interval-Valued T-Spherical Fuzzy Bonferroni Mean OperatorsMaria Akram0Kifayat Ullah1Dragan Pamucar2Department of Mathematics, Riphah International University, Lahore Campus, Lahore 54000, PakistanDepartment of Mathematics, Riphah International University, Lahore Campus, Lahore 54000, PakistanDepartment of Logistics, Military Academy, University of Defense in Belgrade, 11000 Belgrade, SerbiaTo find the correspondence between every number of attributes, the Bonferroni mean (BM) operator is most widely used and proven to be a flexible approach. To express uncertain information, the frame of the interval-valued T-spherical fuzzy set (IVTSFS) is a recent development in fuzzy settings which discusses four aspects of uncertain information using closed sub-intervals of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>[</mo><mrow><mn>0</mn><mo>,</mo><mn>1</mn></mrow><mo>]</mo></mrow></mrow></semantics></math></inline-formula> and hence reduces the information loss greatly. In this research study, we introduced the principle of BM operators with IVTSFS to develop the principle of the inter-valued T-spherical fuzzy (IVTSF) BM (IVTSFBM) operator, the IVTSF-weighted BM (IVTSFWBM) operator, the IVTSF geometric BM (IVTSFGBM) operator, and the IVTSF-weighted geometric BM (IVTSFWGBM) operator. To see the significance of the proposed BM operators, we applied these BM operators to evaluate the performance of solar cells that play an important role in the field of energy storage. To do so, we developed a multi-attribute group decision-making (MAGDM) procedure based on IVTSF information and applied it to the problem of solar cells to evaluate their performance under uncertainty, where four aspects of opinion about solar cells were taken into consideration. We studied the results obtained using BM operators with some previous operators to see the significance of the proposed IVTSF BM operators.https://www.mdpi.com/1996-1073/15/1/292T-spherical fuzzy setsinterval-valued T-spherical fuzzy setsBonferroni mean operatorsmulti-attribute group decision-making |
| spellingShingle | Maria Akram Kifayat Ullah Dragan Pamucar Performance Evaluation of Solar Energy Cells Using the Interval-Valued T-Spherical Fuzzy Bonferroni Mean Operators Energies T-spherical fuzzy sets interval-valued T-spherical fuzzy sets Bonferroni mean operators multi-attribute group decision-making |
| title | Performance Evaluation of Solar Energy Cells Using the Interval-Valued T-Spherical Fuzzy Bonferroni Mean Operators |
| title_full | Performance Evaluation of Solar Energy Cells Using the Interval-Valued T-Spherical Fuzzy Bonferroni Mean Operators |
| title_fullStr | Performance Evaluation of Solar Energy Cells Using the Interval-Valued T-Spherical Fuzzy Bonferroni Mean Operators |
| title_full_unstemmed | Performance Evaluation of Solar Energy Cells Using the Interval-Valued T-Spherical Fuzzy Bonferroni Mean Operators |
| title_short | Performance Evaluation of Solar Energy Cells Using the Interval-Valued T-Spherical Fuzzy Bonferroni Mean Operators |
| title_sort | performance evaluation of solar energy cells using the interval valued t spherical fuzzy bonferroni mean operators |
| topic | T-spherical fuzzy sets interval-valued T-spherical fuzzy sets Bonferroni mean operators multi-attribute group decision-making |
| url | https://www.mdpi.com/1996-1073/15/1/292 |
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