The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application
We investigate and propose two new Bonferroni means, that is, the optimized weighted BM (OWBM) and the generalized optimized weighted BM (GOWBM), whose characteristics are to reflect the preference and interrelationship of the aggregated arguments and can satisfy the basic properties of the aggregat...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/981762 |
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| author | Ya-ming Shi Jian-min He |
| author_facet | Ya-ming Shi Jian-min He |
| author_sort | Ya-ming Shi |
| collection | DOAJ |
| description | We investigate and propose two new Bonferroni means, that is, the optimized weighted BM (OWBM) and the generalized optimized weighted BM (GOWBM), whose characteristics are to reflect the preference and interrelationship of the aggregated arguments and can satisfy the basic properties of the aggregation techniques simultaneously. Further, we propose the interval-valued intuitionistic fuzzy optimized weighted Bonferroni mean (IIFOWBM) and the generalized interval-valued intuitionistic fuzzy optimized weighted Bonferroni mean (GIIFOWBM) and detailed study of their desirable properties such as idempotency, monotonicity, transformation, and boundary. Finally, based on IIFOWBM and GIIFOWBM, we give an approach to group decision making under the interval-valued intuitionistic fuzzy environment and utilize a practical case involving the assessment of a set of agroecological regions in Hubei Province, China, to illustrate the developed methods. |
| format | Article |
| id | doaj-art-76965559d9c249db812fa496c0aa3248 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-76965559d9c249db812fa496c0aa32482025-08-20T02:07:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/981762981762The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their ApplicationYa-ming Shi0Jian-min He1School of Economics and Management, Southeast University, Nanjing 211189, ChinaSchool of Economics and Management, Southeast University, Nanjing 211189, ChinaWe investigate and propose two new Bonferroni means, that is, the optimized weighted BM (OWBM) and the generalized optimized weighted BM (GOWBM), whose characteristics are to reflect the preference and interrelationship of the aggregated arguments and can satisfy the basic properties of the aggregation techniques simultaneously. Further, we propose the interval-valued intuitionistic fuzzy optimized weighted Bonferroni mean (IIFOWBM) and the generalized interval-valued intuitionistic fuzzy optimized weighted Bonferroni mean (GIIFOWBM) and detailed study of their desirable properties such as idempotency, monotonicity, transformation, and boundary. Finally, based on IIFOWBM and GIIFOWBM, we give an approach to group decision making under the interval-valued intuitionistic fuzzy environment and utilize a practical case involving the assessment of a set of agroecological regions in Hubei Province, China, to illustrate the developed methods.http://dx.doi.org/10.1155/2013/981762 |
| spellingShingle | Ya-ming Shi Jian-min He The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application Journal of Applied Mathematics |
| title | The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application |
| title_full | The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application |
| title_fullStr | The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application |
| title_full_unstemmed | The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application |
| title_short | The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application |
| title_sort | interval valued intuitionistic fuzzy optimized weighted bonferroni means and their application |
| url | http://dx.doi.org/10.1155/2013/981762 |
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