Hesitant Triangular Fuzzy Information Aggregation Operators Based on Bonferroni Means and Their Application to Multiple Attribute Decision Making
We investigate the multiple attribute decision-making (MADM) problems with hesitant triangular fuzzy information. Firstly, definition and some operational laws of hesitant triangular fuzzy elements are introduced. Then, we develop some hesitant triangular fuzzy aggregation operators based on Bonferr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/648516 |
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| _version_ | 1832550387778846720 |
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| author | Chunyong Wang Qingguo Li Xiaoqiang Zhou Tian Yang |
| author_facet | Chunyong Wang Qingguo Li Xiaoqiang Zhou Tian Yang |
| author_sort | Chunyong Wang |
| collection | DOAJ |
| description | We investigate the multiple attribute decision-making (MADM) problems with hesitant triangular fuzzy information. Firstly, definition and some operational laws of hesitant triangular fuzzy elements are introduced. Then, we develop some hesitant triangular fuzzy aggregation operators based on Bonferroni means and discuss their basic properties. Some existing operators can be viewed as their special cases. Next, we apply the proposed operators to deal with multiple attribute decision-making problems under hesitant triangular fuzzy environment. Finally, an illustrative example is given to show the developed method and demonstrate its practicality and effectiveness. |
| format | Article |
| id | doaj-art-f22bef1cdb8b46bea863dfb0471dd0d2 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-f22bef1cdb8b46bea863dfb0471dd0d22025-02-03T06:06:57ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/648516648516Hesitant Triangular Fuzzy Information Aggregation Operators Based on Bonferroni Means and Their Application to Multiple Attribute Decision MakingChunyong Wang0Qingguo Li1Xiaoqiang Zhou2Tian Yang3College of Mathematics and Econometrics, Hunan University Changsha, Hunan 410082, ChinaCollege of Mathematics and Econometrics, Hunan University Changsha, Hunan 410082, ChinaCollege of Mathematics and Econometrics, Hunan University Changsha, Hunan 410082, ChinaCollege of Science, Central South University of Forestry and Technology, Changsha, Hunan 410004, ChinaWe investigate the multiple attribute decision-making (MADM) problems with hesitant triangular fuzzy information. Firstly, definition and some operational laws of hesitant triangular fuzzy elements are introduced. Then, we develop some hesitant triangular fuzzy aggregation operators based on Bonferroni means and discuss their basic properties. Some existing operators can be viewed as their special cases. Next, we apply the proposed operators to deal with multiple attribute decision-making problems under hesitant triangular fuzzy environment. Finally, an illustrative example is given to show the developed method and demonstrate its practicality and effectiveness.http://dx.doi.org/10.1155/2014/648516 |
| spellingShingle | Chunyong Wang Qingguo Li Xiaoqiang Zhou Tian Yang Hesitant Triangular Fuzzy Information Aggregation Operators Based on Bonferroni Means and Their Application to Multiple Attribute Decision Making The Scientific World Journal |
| title | Hesitant Triangular Fuzzy Information Aggregation Operators Based on Bonferroni Means and Their Application to Multiple Attribute Decision Making |
| title_full | Hesitant Triangular Fuzzy Information Aggregation Operators Based on Bonferroni Means and Their Application to Multiple Attribute Decision Making |
| title_fullStr | Hesitant Triangular Fuzzy Information Aggregation Operators Based on Bonferroni Means and Their Application to Multiple Attribute Decision Making |
| title_full_unstemmed | Hesitant Triangular Fuzzy Information Aggregation Operators Based on Bonferroni Means and Their Application to Multiple Attribute Decision Making |
| title_short | Hesitant Triangular Fuzzy Information Aggregation Operators Based on Bonferroni Means and Their Application to Multiple Attribute Decision Making |
| title_sort | hesitant triangular fuzzy information aggregation operators based on bonferroni means and their application to multiple attribute decision making |
| url | http://dx.doi.org/10.1155/2014/648516 |
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