Deciphering the Geometric Bonferroni Mean Operator in Pythagorean Neutrosophic Sets Framework
The Geometric Bonferroni Mean (GBM), is an extension of The Bonferroni mean (BM), that combines both BM and the geometric mean, allowing for the representation of correlations among the combined factors while acknowledging the inherent uncertainty within the decision-making process. Within the frame...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2025-01-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/GeometricBonferroni7%20.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849340487757987840 |
|---|---|
| author | Mohammad Shafiq bin Mohammad Kamari Zahari Bin Md. Rodzi R.H. Al-Obaidi Faisal Al-Sharqi Ashraf Al-Quran Rawan A. Shlaka |
| author_facet | Mohammad Shafiq bin Mohammad Kamari Zahari Bin Md. Rodzi R.H. Al-Obaidi Faisal Al-Sharqi Ashraf Al-Quran Rawan A. Shlaka |
| author_sort | Mohammad Shafiq bin Mohammad Kamari |
| collection | DOAJ |
| description | The Geometric Bonferroni Mean (GBM), is an extension of The Bonferroni mean (BM), that combines both BM and the geometric mean, allowing for the representation of correlations among the combined factors while acknowledging the inherent uncertainty within the decision-making process. Within the framework of Pythagorean neutrosophic set (PNS) that encompasses truth, indeterminacy, and falsity-membership degrees, each criterion can be integrated into a unified PNS value, portraying the overall evaluation of that criterion by employing the Geometric Bonferroni mean. This study aims to enhance decision-making in Pythagorean neutrosophic framework by introducing an aggregation operator to PNS using the Geometric Bonferroni Mean. Additionally, it proposes a normalized approach to resolve decision-making quandaries within the realm of PNS, striving for improved solutions. The novel Pythagorean Neutrosophic Normalized Weighted Geometric Bonferroni Mean (PNNWGBM) aggregating operator has been tested in a case of multi criteria decision-making (MCDM) problem involving the selection of Halal products suppliers with several criteria. The result shows that this aggregating operator is offering dependable and pragmatic method for intricate decision-making challenges and able to effectively tackle uncertainty and ambiguity in MCDM problem. |
| format | Article |
| id | doaj-art-a7572de5a1064cdab3e34f4b66e06d22 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-a7572de5a1064cdab3e34f4b66e06d222025-08-20T03:43:54ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-01-017513916110.5281/zenodo.13932052Deciphering the Geometric Bonferroni Mean Operator in Pythagorean Neutrosophic Sets FrameworkMohammad Shafiq bin Mohammad KamariZahari Bin Md. RodziR.H. Al-ObaidiFaisal Al-SharqiAshraf Al-QuranRawan A. ShlakaThe Geometric Bonferroni Mean (GBM), is an extension of The Bonferroni mean (BM), that combines both BM and the geometric mean, allowing for the representation of correlations among the combined factors while acknowledging the inherent uncertainty within the decision-making process. Within the framework of Pythagorean neutrosophic set (PNS) that encompasses truth, indeterminacy, and falsity-membership degrees, each criterion can be integrated into a unified PNS value, portraying the overall evaluation of that criterion by employing the Geometric Bonferroni mean. This study aims to enhance decision-making in Pythagorean neutrosophic framework by introducing an aggregation operator to PNS using the Geometric Bonferroni Mean. Additionally, it proposes a normalized approach to resolve decision-making quandaries within the realm of PNS, striving for improved solutions. The novel Pythagorean Neutrosophic Normalized Weighted Geometric Bonferroni Mean (PNNWGBM) aggregating operator has been tested in a case of multi criteria decision-making (MCDM) problem involving the selection of Halal products suppliers with several criteria. The result shows that this aggregating operator is offering dependable and pragmatic method for intricate decision-making challenges and able to effectively tackle uncertainty and ambiguity in MCDM problem.https://fs.unm.edu/NSS/GeometricBonferroni7%20.pdfaggregating operatorbonferroni mean (bm)geometric bonferroni mean (gbm)pythagorean neutrosophic set (pns)multi-criteria decision-making (mcdm) |
| spellingShingle | Mohammad Shafiq bin Mohammad Kamari Zahari Bin Md. Rodzi R.H. Al-Obaidi Faisal Al-Sharqi Ashraf Al-Quran Rawan A. Shlaka Deciphering the Geometric Bonferroni Mean Operator in Pythagorean Neutrosophic Sets Framework Neutrosophic Sets and Systems aggregating operator bonferroni mean (bm) geometric bonferroni mean (gbm) pythagorean neutrosophic set (pns) multi-criteria decision-making (mcdm) |
| title | Deciphering the Geometric Bonferroni Mean Operator in Pythagorean Neutrosophic Sets Framework |
| title_full | Deciphering the Geometric Bonferroni Mean Operator in Pythagorean Neutrosophic Sets Framework |
| title_fullStr | Deciphering the Geometric Bonferroni Mean Operator in Pythagorean Neutrosophic Sets Framework |
| title_full_unstemmed | Deciphering the Geometric Bonferroni Mean Operator in Pythagorean Neutrosophic Sets Framework |
| title_short | Deciphering the Geometric Bonferroni Mean Operator in Pythagorean Neutrosophic Sets Framework |
| title_sort | deciphering the geometric bonferroni mean operator in pythagorean neutrosophic sets framework |
| topic | aggregating operator bonferroni mean (bm) geometric bonferroni mean (gbm) pythagorean neutrosophic set (pns) multi-criteria decision-making (mcdm) |
| url | https://fs.unm.edu/NSS/GeometricBonferroni7%20.pdf |
| work_keys_str_mv | AT mohammadshafiqbinmohammadkamari decipheringthegeometricbonferronimeanoperatorinpythagoreanneutrosophicsetsframework AT zaharibinmdrodzi decipheringthegeometricbonferronimeanoperatorinpythagoreanneutrosophicsetsframework AT rhalobaidi decipheringthegeometricbonferronimeanoperatorinpythagoreanneutrosophicsetsframework AT faisalalsharqi decipheringthegeometricbonferronimeanoperatorinpythagoreanneutrosophicsetsframework AT ashrafalquran decipheringthegeometricbonferronimeanoperatorinpythagoreanneutrosophicsetsframework AT rawanashlaka decipheringthegeometricbonferronimeanoperatorinpythagoreanneutrosophicsetsframework |