Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators
We first define an accuracy function of hesitant fuzzy elements (HFEs) and develop a new method to compare two HFEs. Then, based on Einstein operators, we give some new operational laws on HFEs and some desirable properties of these operations. We also develop several new hesitant fuzzy aggregation...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/745617 |
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| _version_ | 1850157790886100992 |
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| author | Xiaoqiang Zhou Qingguo Li |
| author_facet | Xiaoqiang Zhou Qingguo Li |
| author_sort | Xiaoqiang Zhou |
| collection | DOAJ |
| description | We first define an accuracy function of hesitant fuzzy elements (HFEs) and develop a new method to compare two HFEs. Then, based on Einstein operators, we give some new operational laws on HFEs and some desirable properties of these operations. We also develop several new hesitant fuzzy aggregation operators, including the hesitant fuzzy Einstein weighted geometric (HFEWGε) operator and the hesitant fuzzy Einstein ordered weighted geometric (HFEWGε) operator, which are the extensions of the weighted geometric operator and the ordered weighted geometric (OWG) operator with hesitant fuzzy information, respectively. Furthermore, we establish the connections between the proposed and the existing hesitant fuzzy aggregation operators and discuss various properties of the proposed operators. Finally, we apply the HFEWGε operator to solve the hesitant fuzzy decision making problems. |
| format | Article |
| id | doaj-art-2d8eaa8a378148ffa2570271aeaed07d |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2d8eaa8a378148ffa2570271aeaed07d2025-08-20T02:24:04ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/745617745617Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation OperatorsXiaoqiang Zhou0Qingguo Li1College of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaWe first define an accuracy function of hesitant fuzzy elements (HFEs) and develop a new method to compare two HFEs. Then, based on Einstein operators, we give some new operational laws on HFEs and some desirable properties of these operations. We also develop several new hesitant fuzzy aggregation operators, including the hesitant fuzzy Einstein weighted geometric (HFEWGε) operator and the hesitant fuzzy Einstein ordered weighted geometric (HFEWGε) operator, which are the extensions of the weighted geometric operator and the ordered weighted geometric (OWG) operator with hesitant fuzzy information, respectively. Furthermore, we establish the connections between the proposed and the existing hesitant fuzzy aggregation operators and discuss various properties of the proposed operators. Finally, we apply the HFEWGε operator to solve the hesitant fuzzy decision making problems.http://dx.doi.org/10.1155/2014/745617 |
| spellingShingle | Xiaoqiang Zhou Qingguo Li Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators Journal of Applied Mathematics |
| title | Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators |
| title_full | Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators |
| title_fullStr | Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators |
| title_full_unstemmed | Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators |
| title_short | Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators |
| title_sort | multiple attribute decision making based on hesitant fuzzy einstein geometric aggregation operators |
| url | http://dx.doi.org/10.1155/2014/745617 |
| work_keys_str_mv | AT xiaoqiangzhou multipleattributedecisionmakingbasedonhesitantfuzzyeinsteingeometricaggregationoperators AT qingguoli multipleattributedecisionmakingbasedonhesitantfuzzyeinsteingeometricaggregationoperators |