Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-Making
In recent years, research on applications of three-way decision (e.g., TWD) has attracted the attention of many scholars. In this paper, we combine TWD with multi-attribute decision-making (MADM). First, we utilize the essential idea of TOPSIS in MADM theory to propose a pair of new ideal relation m...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/7/986 |
| _version_ | 1797439527763050496 |
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| author | Xiaozhi Chen Ligeng Zou |
| author_facet | Xiaozhi Chen Ligeng Zou |
| author_sort | Xiaozhi Chen |
| collection | DOAJ |
| description | In recent years, research on applications of three-way decision (e.g., TWD) has attracted the attention of many scholars. In this paper, we combine TWD with multi-attribute decision-making (MADM). First, we utilize the essential idea of TOPSIS in MADM theory to propose a pair of new ideal relation models based on TWD, namely, the three-way ideal superiority model and the three-way ideal inferiority model. Second, in order to reduce errors caused by the subjectivity of decision-makers, we develop two new methods to calculate the state sets for the two proposed ideal relation models. Third, we employ aggregate relative loss functions to calculate the thresholds of each object, divide all objects into three different territories and sort all objects. Then, we use a concrete example of building appearance selection to verify the rationality and feasibility of our proposed models. Furthermore, we apply comparative analysis, Spearman’s rank correlation analysis and experiment analysis to illustrate the consistency and superiority of our methods. |
| first_indexed | 2024-03-09T11:55:21Z |
| format | Article |
| id | doaj.art-36e1130611154109b4f192f9c67360a5 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T11:55:21Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-36e1130611154109b4f192f9c67360a52023-11-30T23:09:43ZengMDPI AGEntropy1099-43002022-07-0124798610.3390/e24070986Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-MakingXiaozhi Chen0Ligeng Zou1Hunan Provincial Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha 410081, ChinaHunan Provincial Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha 410081, ChinaIn recent years, research on applications of three-way decision (e.g., TWD) has attracted the attention of many scholars. In this paper, we combine TWD with multi-attribute decision-making (MADM). First, we utilize the essential idea of TOPSIS in MADM theory to propose a pair of new ideal relation models based on TWD, namely, the three-way ideal superiority model and the three-way ideal inferiority model. Second, in order to reduce errors caused by the subjectivity of decision-makers, we develop two new methods to calculate the state sets for the two proposed ideal relation models. Third, we employ aggregate relative loss functions to calculate the thresholds of each object, divide all objects into three different territories and sort all objects. Then, we use a concrete example of building appearance selection to verify the rationality and feasibility of our proposed models. Furthermore, we apply comparative analysis, Spearman’s rank correlation analysis and experiment analysis to illustrate the consistency and superiority of our methods.https://www.mdpi.com/1099-4300/24/7/986three-way decisionmulti-attribute decision-makingideal relationsdecision-theoretic rough set |
| spellingShingle | Xiaozhi Chen Ligeng Zou Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-Making Entropy three-way decision multi-attribute decision-making ideal relations decision-theoretic rough set |
| title | Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-Making |
| title_full | Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-Making |
| title_fullStr | Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-Making |
| title_full_unstemmed | Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-Making |
| title_short | Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-Making |
| title_sort | three way decision models based on ideal relations in multi attribute decision making |
| topic | three-way decision multi-attribute decision-making ideal relations decision-theoretic rough set |
| url | https://www.mdpi.com/1099-4300/24/7/986 |
| work_keys_str_mv | AT xiaozhichen threewaydecisionmodelsbasedonidealrelationsinmultiattributedecisionmaking AT ligengzou threewaydecisionmodelsbasedonidealrelationsinmultiattributedecisionmaking |