A group decision making approach based on the multi-dimensional Steiner point
The social division of labor has become increasingly specialized, and there are more and more group decision-making problems participated by multiple decision-makers. With respect to the multi-attribute group decision making problem, including two-tuple linguistic information, based on the theory an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024047?viewType=HTML |
| _version_ | 1827385935652716544 |
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| author | Zu-meng Qiu Huan-huan Zhao Jun Yang |
| author_facet | Zu-meng Qiu Huan-huan Zhao Jun Yang |
| author_sort | Zu-meng Qiu |
| collection | DOAJ |
| description | The social division of labor has become increasingly specialized, and there are more and more group decision-making problems participated by multiple decision-makers. With respect to the multi-attribute group decision making problem, including two-tuple linguistic information, based on the theory and method of group decision making, Steiner point constraint and plant growth simulation algorithm, we establish a novel multi-attribute group decision making approach based on two-tuple linguistic information aggregation. We introduce Steiner points into group consensus decision making and use the PGSA algorithm to seek the global optimal point. The method seeks set points that are both mathematically and geometrically meaningful to reduce set bias. In this paper, to begin with, according to the constraints of multi-dimensional Steiner point, we map the evaluation vectors of the group experts over the alternatives into multi-dimensional space and then we propose a two-tuple linguistic information aggregation model. Moreover, we construct a comprehensive evaluation decision making approach and then design a plant growth simulation algorithm to select the optimal alternative. Finally, a case verifies the validity and rationality of the proposed model. |
| first_indexed | 2024-03-08T15:34:47Z |
| format | Article |
| id | doaj.art-a6e1971c652c4ea88772c50a01743aa8 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T15:34:47Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-a6e1971c652c4ea88772c50a01743aa82024-01-10T01:33:06ZengAIMS PressAIMS Mathematics2473-69882024-01-019194295810.3934/math.2024047A group decision making approach based on the multi-dimensional Steiner pointZu-meng Qiu 0Huan-huan Zhao1Jun Yang21. School of Economics and Management Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China2. School of Management Wuxi Institute of Technology, Wuxi City Jiangsu province ZIP, 214121, China3. School of Business Jiangnan University, Wuxi City Jiangsu province ZIP, 214122, ChinaThe social division of labor has become increasingly specialized, and there are more and more group decision-making problems participated by multiple decision-makers. With respect to the multi-attribute group decision making problem, including two-tuple linguistic information, based on the theory and method of group decision making, Steiner point constraint and plant growth simulation algorithm, we establish a novel multi-attribute group decision making approach based on two-tuple linguistic information aggregation. We introduce Steiner points into group consensus decision making and use the PGSA algorithm to seek the global optimal point. The method seeks set points that are both mathematically and geometrically meaningful to reduce set bias. In this paper, to begin with, according to the constraints of multi-dimensional Steiner point, we map the evaluation vectors of the group experts over the alternatives into multi-dimensional space and then we propose a two-tuple linguistic information aggregation model. Moreover, we construct a comprehensive evaluation decision making approach and then design a plant growth simulation algorithm to select the optimal alternative. Finally, a case verifies the validity and rationality of the proposed model.https://www.aimspress.com/article/doi/10.3934/math.2024047?viewType=HTMLtwo-tupleplant growth simulation algorithmmulti-dimensional steiner pointinformation aggregation |
| spellingShingle | Zu-meng Qiu Huan-huan Zhao Jun Yang A group decision making approach based on the multi-dimensional Steiner point AIMS Mathematics two-tuple plant growth simulation algorithm multi-dimensional steiner point information aggregation |
| title | A group decision making approach based on the multi-dimensional Steiner point |
| title_full | A group decision making approach based on the multi-dimensional Steiner point |
| title_fullStr | A group decision making approach based on the multi-dimensional Steiner point |
| title_full_unstemmed | A group decision making approach based on the multi-dimensional Steiner point |
| title_short | A group decision making approach based on the multi-dimensional Steiner point |
| title_sort | group decision making approach based on the multi dimensional steiner point |
| topic | two-tuple plant growth simulation algorithm multi-dimensional steiner point information aggregation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024047?viewType=HTML |
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