Group Decision-Making Approach without Weighted Aggregation Operators
This paper introduces an approach for group decision-making problems (GDMP) without weighted aggregation operators. This approach is more suitable for scenarios with infinite number of individuals. A mathematical model approach is established based on the new concept of s⁎-optimal concession equilib...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/2903058 |
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| _version_ | 1832559369232842752 |
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| author | Min Jiang Zhiqing Meng Rui Shen |
| author_facet | Min Jiang Zhiqing Meng Rui Shen |
| author_sort | Min Jiang |
| collection | DOAJ |
| description | This paper introduces an approach for group decision-making problems (GDMP) without weighted aggregation operators. This approach is more suitable for scenarios with infinite number of individuals. A mathematical model approach is established based on the new concept of s⁎-optimal concession equilibrium solution without weighted aggregation operators for group decision-making problems. It is of practical significance for all decision-makers (experts) to find an optimal solution or to sort out all the candidate solutions. We prove that the s⁎-optimal concession equilibrium solution is equivalent to solving a single objective optimization problem, and, under certain conditions, the s⁎-optimal equilibrium solution always exists. Moreover, it is proven that the s⁎-optimal concession equilibrium solution is equivalent to the robust optimal solution of the group weight aggregation and the optimal solution under the worst weighted aggregation operators. |
| format | Article |
| id | doaj-art-bbbbc12a06e1452e8545b9cec4d3d601 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bbbbc12a06e1452e8545b9cec4d3d6012025-02-03T01:30:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/29030582903058Group Decision-Making Approach without Weighted Aggregation OperatorsMin Jiang0Zhiqing Meng1Rui Shen2College of Economics and Management, Zhejiang University of Technology, Hangzhou, Zhejiang 310023, ChinaCollege of Economics and Management, Zhejiang University of Technology, Hangzhou, Zhejiang 310023, ChinaCollege of Economics and Management, Zhejiang University of Technology, Hangzhou, Zhejiang 310023, ChinaThis paper introduces an approach for group decision-making problems (GDMP) without weighted aggregation operators. This approach is more suitable for scenarios with infinite number of individuals. A mathematical model approach is established based on the new concept of s⁎-optimal concession equilibrium solution without weighted aggregation operators for group decision-making problems. It is of practical significance for all decision-makers (experts) to find an optimal solution or to sort out all the candidate solutions. We prove that the s⁎-optimal concession equilibrium solution is equivalent to solving a single objective optimization problem, and, under certain conditions, the s⁎-optimal equilibrium solution always exists. Moreover, it is proven that the s⁎-optimal concession equilibrium solution is equivalent to the robust optimal solution of the group weight aggregation and the optimal solution under the worst weighted aggregation operators.http://dx.doi.org/10.1155/2018/2903058 |
| spellingShingle | Min Jiang Zhiqing Meng Rui Shen Group Decision-Making Approach without Weighted Aggregation Operators Discrete Dynamics in Nature and Society |
| title | Group Decision-Making Approach without Weighted Aggregation Operators |
| title_full | Group Decision-Making Approach without Weighted Aggregation Operators |
| title_fullStr | Group Decision-Making Approach without Weighted Aggregation Operators |
| title_full_unstemmed | Group Decision-Making Approach without Weighted Aggregation Operators |
| title_short | Group Decision-Making Approach without Weighted Aggregation Operators |
| title_sort | group decision making approach without weighted aggregation operators |
| url | http://dx.doi.org/10.1155/2018/2903058 |
| work_keys_str_mv | AT minjiang groupdecisionmakingapproachwithoutweightedaggregationoperators AT zhiqingmeng groupdecisionmakingapproachwithoutweightedaggregationoperators AT ruishen groupdecisionmakingapproachwithoutweightedaggregationoperators |