Group Decision-Making Approach Based on Generalized Grey Linguistic 2-Tuple Aggregation Operators
To address complexity information fusion problems involving fuzzy and grey uncertainty information, we develop prioritized averaging aggregation operator and Bonferroni mean aggregation operator with grey linguistic 2-tuple variables and apply them to design a new decision-making scheme. First, the...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/2301252 |
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| _version_ | 1832563724643205120 |
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| author | Lidong Wang Yanjun Wang |
| author_facet | Lidong Wang Yanjun Wang |
| author_sort | Lidong Wang |
| collection | DOAJ |
| description | To address complexity information fusion problems involving fuzzy and grey uncertainty information, we develop prioritized averaging aggregation operator and Bonferroni mean aggregation operator with grey linguistic 2-tuple variables and apply them to design a new decision-making scheme. First, the grey linguistic 2-tuple prioritized averaging (GLTPA) operator is developed to characterize the prioritization relationship among experts and employed to fuse experts’ information into an overall opinion. Second, we establish dual generalized grey linguistic 2-tuple weighted Bonferroni mean (DGGLTWBM) operator to capture the interrelationship among any attribute subsets, which can be reduced to some conventional operators by adjusting parameter vector. On that basis, a flexible group decision-making approach with fuzzy and grey information is designed and applied to an evaluation problem, in which grey relationship analysis (GRA) method and a linear programming model are combined to extract attribute weights from partially known attribute information. Furthermore, an illustrative example is employed to illustrate the practicality and flexibility of the designed method by conducting the related comparative studies. |
| format | Article |
| id | doaj-art-aa225bc726fb428d8e67fbfc521d7d87 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-aa225bc726fb428d8e67fbfc521d7d872025-02-03T01:12:50ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/23012522301252Group Decision-Making Approach Based on Generalized Grey Linguistic 2-Tuple Aggregation OperatorsLidong Wang0Yanjun Wang1College of Science, Dalian Maritime University, Dalian 116026, ChinaCollege of Science, Dalian Maritime University, Dalian 116026, ChinaTo address complexity information fusion problems involving fuzzy and grey uncertainty information, we develop prioritized averaging aggregation operator and Bonferroni mean aggregation operator with grey linguistic 2-tuple variables and apply them to design a new decision-making scheme. First, the grey linguistic 2-tuple prioritized averaging (GLTPA) operator is developed to characterize the prioritization relationship among experts and employed to fuse experts’ information into an overall opinion. Second, we establish dual generalized grey linguistic 2-tuple weighted Bonferroni mean (DGGLTWBM) operator to capture the interrelationship among any attribute subsets, which can be reduced to some conventional operators by adjusting parameter vector. On that basis, a flexible group decision-making approach with fuzzy and grey information is designed and applied to an evaluation problem, in which grey relationship analysis (GRA) method and a linear programming model are combined to extract attribute weights from partially known attribute information. Furthermore, an illustrative example is employed to illustrate the practicality and flexibility of the designed method by conducting the related comparative studies.http://dx.doi.org/10.1155/2018/2301252 |
| spellingShingle | Lidong Wang Yanjun Wang Group Decision-Making Approach Based on Generalized Grey Linguistic 2-Tuple Aggregation Operators Complexity |
| title | Group Decision-Making Approach Based on Generalized Grey Linguistic 2-Tuple Aggregation Operators |
| title_full | Group Decision-Making Approach Based on Generalized Grey Linguistic 2-Tuple Aggregation Operators |
| title_fullStr | Group Decision-Making Approach Based on Generalized Grey Linguistic 2-Tuple Aggregation Operators |
| title_full_unstemmed | Group Decision-Making Approach Based on Generalized Grey Linguistic 2-Tuple Aggregation Operators |
| title_short | Group Decision-Making Approach Based on Generalized Grey Linguistic 2-Tuple Aggregation Operators |
| title_sort | group decision making approach based on generalized grey linguistic 2 tuple aggregation operators |
| url | http://dx.doi.org/10.1155/2018/2301252 |
| work_keys_str_mv | AT lidongwang groupdecisionmakingapproachbasedongeneralizedgreylinguistic2tupleaggregationoperators AT yanjunwang groupdecisionmakingapproachbasedongeneralizedgreylinguistic2tupleaggregationoperators |