Incomplete three-way multi-attribute group decision making based on adjustable multigranulation Pythagorean fuzzy probabilistic rough sets
Different from the traditional two-way decision paradigm, three-way decisions (3WD) have been extensively explored in addressing realistic multi-attribute decision making (MADM) by virtue of its powerful performances in minimizing decision risks with the added non-commitment option. Since existing 3...
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| Published in: | International journal of approximate reasoning Vol. 147; pp. 40 - 59 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier Inc
01.08.2022
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| ISSN: | 0888-613X, 1873-4731 |
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| Abstract | Different from the traditional two-way decision paradigm, three-way decisions (3WD) have been extensively explored in addressing realistic multi-attribute decision making (MADM) by virtue of its powerful performances in minimizing decision risks with the added non-commitment option. Since existing 3WD models can not efficiently handle MADM issues in the group setting with incomplete high-order fuzzy information systems (ISs), the current paper focuses on exploring viable three-way multi-attribute group decision making (MAGDM) methods in light of the multi-granularity 3WD paradigm under incomplete Pythagorean fuzzy (PF) environments. First, the notion of Multigranulation (MG) incomplete PF ISs is constructed. Then, optimistic, pessimistic and adjustable MG PF probabilistic rough sets (PRSs) are proposed after patching lost values. Afterwards, the decision-making-driven 3WD method is extended via adjustable MG PF PRSs, and an improved technique for order preference by similarity to ideal solution (TOPSIS) method with entropy weights is utilized for optimal granularity selections. According to adjustable MG PF PRSs and the improved TOPSIS method, a new three-way MAGDM method is eventually established. At last, two case studies are investigated in the background of mine ventilator fault diagnosis (MVFD) and air quality evaluations (AQE), and several comparative experiments and sensitivity analysis are performed for presenting the effectiveness of the constructed theoretical methodology. |
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| AbstractList | Different from the traditional two-way decision paradigm, three-way decisions (3WD) have been extensively explored in addressing realistic multi-attribute decision making (MADM) by virtue of its powerful performances in minimizing decision risks with the added non-commitment option. Since existing 3WD models can not efficiently handle MADM issues in the group setting with incomplete high-order fuzzy information systems (ISs), the current paper focuses on exploring viable three-way multi-attribute group decision making (MAGDM) methods in light of the multi-granularity 3WD paradigm under incomplete Pythagorean fuzzy (PF) environments. First, the notion of Multigranulation (MG) incomplete PF ISs is constructed. Then, optimistic, pessimistic and adjustable MG PF probabilistic rough sets (PRSs) are proposed after patching lost values. Afterwards, the decision-making-driven 3WD method is extended via adjustable MG PF PRSs, and an improved technique for order preference by similarity to ideal solution (TOPSIS) method with entropy weights is utilized for optimal granularity selections. According to adjustable MG PF PRSs and the improved TOPSIS method, a new three-way MAGDM method is eventually established. At last, two case studies are investigated in the background of mine ventilator fault diagnosis (MVFD) and air quality evaluations (AQE), and several comparative experiments and sensitivity analysis are performed for presenting the effectiveness of the constructed theoretical methodology. |
| Author | Ding, Juanjuan Zhan, Jianming Zhang, Chao Li, Deyu |
| Author_xml | – sequence: 1 givenname: Chao orcidid: 0000-0001-6248-9962 surname: Zhang fullname: Zhang, Chao email: czhang@sxu.edu.cn organization: Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan 030006, Shanxi, China – sequence: 2 givenname: Juanjuan surname: Ding fullname: Ding, Juanjuan email: 2816904900@qq.com organization: Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan 030006, Shanxi, China – sequence: 3 givenname: Jianming surname: Zhan fullname: Zhan, Jianming email: zhanjianming@hotmail.com organization: School of Mathematics and Statistics, Hubei Minzu University, Enshi, Hubei, 445000, China – sequence: 4 givenname: Deyu surname: Li fullname: Li, Deyu email: lidysxu@163.com organization: Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan 030006, Shanxi, China |
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| Keywords | Multi-granularity Three-way decision Granular computing Probabilistic rough set Incomplete Pythagorean fuzzy information system |
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