Generalized Orthopair Fuzzy Weighted Power Bonferroni Mean Operator and Its Application in Decision Making
The generalized orthopair fuzzy set is more favored by decision-makers and extensively utilized in areas like supply chain management, risk investment, and pattern recognition because it offers a broader decision information boundary than the intuitionistic fuzzy set and Pythagorean fuzzy set. This...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/11/2007 |
| _version_ | 1797457668610195456 |
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| author | Bowen Hou Yongming Chen |
| author_facet | Bowen Hou Yongming Chen |
| author_sort | Bowen Hou |
| collection | DOAJ |
| description | The generalized orthopair fuzzy set is more favored by decision-makers and extensively utilized in areas like supply chain management, risk investment, and pattern recognition because it offers a broader decision information boundary than the intuitionistic fuzzy set and Pythagorean fuzzy set. This enables it to express fuzzy information more comprehensively and accurately in multi-attribute decision-making problems. To this end, this paper combines the ability of the power average (PA) operator to eliminate the impact of extreme values and the advantage of the Bonferroni mean (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="normal">B</mi><msup><mrow><mi mathvariant="normal">M</mi></mrow><mrow><mi>s</mi><mo>,</mo><mi>t</mi></mrow></msup></mrow></semantics></math></inline-formula>) operator in reflecting the relationships between variables, then incorporates weight indicators for different attributes to define the generalized orthopair fuzzy weighted power Bonferroni mean operator. The effectiveness of this operator is demonstrated through aggregation laws for generalized orthopair fuzzy information. Subsequently, the desirable properties of this operator are discussed. Based on these findings, a novel generalized orthopair fuzzy multi-attribute decision-making method, with a correlation between attributes, is proposed. Lastly, an investment decision-making example illustrates the feasibility and superiority of this method. |
| first_indexed | 2024-03-09T16:24:22Z |
| format | Article |
| id | doaj.art-319828c8987547809b3d0101ad6a5703 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T16:24:22Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-319828c8987547809b3d0101ad6a57032023-11-24T15:08:44ZengMDPI AGSymmetry2073-89942023-10-011511200710.3390/sym15112007Generalized Orthopair Fuzzy Weighted Power Bonferroni Mean Operator and Its Application in Decision MakingBowen Hou0Yongming Chen1College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, ChinaCollege of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, ChinaThe generalized orthopair fuzzy set is more favored by decision-makers and extensively utilized in areas like supply chain management, risk investment, and pattern recognition because it offers a broader decision information boundary than the intuitionistic fuzzy set and Pythagorean fuzzy set. This enables it to express fuzzy information more comprehensively and accurately in multi-attribute decision-making problems. To this end, this paper combines the ability of the power average (PA) operator to eliminate the impact of extreme values and the advantage of the Bonferroni mean (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="normal">B</mi><msup><mrow><mi mathvariant="normal">M</mi></mrow><mrow><mi>s</mi><mo>,</mo><mi>t</mi></mrow></msup></mrow></semantics></math></inline-formula>) operator in reflecting the relationships between variables, then incorporates weight indicators for different attributes to define the generalized orthopair fuzzy weighted power Bonferroni mean operator. The effectiveness of this operator is demonstrated through aggregation laws for generalized orthopair fuzzy information. Subsequently, the desirable properties of this operator are discussed. Based on these findings, a novel generalized orthopair fuzzy multi-attribute decision-making method, with a correlation between attributes, is proposed. Lastly, an investment decision-making example illustrates the feasibility and superiority of this method.https://www.mdpi.com/2073-8994/15/11/2007generalized orthopair fuzzy setmultiple-attribute decision makingweighted power Bonferroni mean operator |
| spellingShingle | Bowen Hou Yongming Chen Generalized Orthopair Fuzzy Weighted Power Bonferroni Mean Operator and Its Application in Decision Making Symmetry generalized orthopair fuzzy set multiple-attribute decision making weighted power Bonferroni mean operator |
| title | Generalized Orthopair Fuzzy Weighted Power Bonferroni Mean Operator and Its Application in Decision Making |
| title_full | Generalized Orthopair Fuzzy Weighted Power Bonferroni Mean Operator and Its Application in Decision Making |
| title_fullStr | Generalized Orthopair Fuzzy Weighted Power Bonferroni Mean Operator and Its Application in Decision Making |
| title_full_unstemmed | Generalized Orthopair Fuzzy Weighted Power Bonferroni Mean Operator and Its Application in Decision Making |
| title_short | Generalized Orthopair Fuzzy Weighted Power Bonferroni Mean Operator and Its Application in Decision Making |
| title_sort | generalized orthopair fuzzy weighted power bonferroni mean operator and its application in decision making |
| topic | generalized orthopair fuzzy set multiple-attribute decision making weighted power Bonferroni mean operator |
| url | https://www.mdpi.com/2073-8994/15/11/2007 |
| work_keys_str_mv | AT bowenhou generalizedorthopairfuzzyweightedpowerbonferronimeanoperatoranditsapplicationindecisionmaking AT yongmingchen generalizedorthopairfuzzyweightedpowerbonferronimeanoperatoranditsapplicationindecisionmaking |