A Generalized Multigranulation Rough Set Model by Synthesizing Optimistic and Pessimistic Attitude Preferences
Attitude preference plays an important role in multigranulation data mining and decision-making. That is, different attitude preferences lead to different results. At present, both optimistic and pessimistic multigranulation rough sets have been studied independently and thoroughly. But, sometimes,...
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2025-04-01
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| Series: | Mathematics |
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| author | Hongwei Wang Huilai Zhi Yinan Li Daxin Zhu Jianbing Xiahou |
| author_facet | Hongwei Wang Huilai Zhi Yinan Li Daxin Zhu Jianbing Xiahou |
| author_sort | Hongwei Wang |
| collection | DOAJ |
| description | Attitude preference plays an important role in multigranulation data mining and decision-making. That is, different attitude preferences lead to different results. At present, both optimistic and pessimistic multigranulation rough sets have been studied independently and thoroughly. But, sometimes, a decision-maker’s attitude may vary, which may shift either from an optimistic to pessimistic view of decision-making or from a pessimistic to optimistic view of decision-making. In this paper, we propose a novel multigranulation rough set model, which synthesizes optimistic and pessimistic attitude preferences. Specifically, we put forward methods to evaluate the attitude preferences in four types of decision systems. Two main issues are addressed with regard to attitude preference dependency. The first is concerned with the common attitude preference, while the other relates to the sequence-dependent attitude preference. Finally, we present three types of multigranulation rough set models from the perspective of the different connection methods between optimistic and pessimistic attitude preferences. |
| format | Article |
| id | doaj-art-ba28af4c5c424a38ad7d48f3f69816dc |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-ba28af4c5c424a38ad7d48f3f69816dc2025-08-20T03:52:57ZengMDPI AGMathematics2227-73902025-04-01139136710.3390/math13091367A Generalized Multigranulation Rough Set Model by Synthesizing Optimistic and Pessimistic Attitude PreferencesHongwei Wang0Huilai Zhi1Yinan Li2Daxin Zhu3Jianbing Xiahou4Faculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, ChinaFaculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, ChinaBig Data Institute, Central South University, Changsha 410075, ChinaFaculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, ChinaFaculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, ChinaAttitude preference plays an important role in multigranulation data mining and decision-making. That is, different attitude preferences lead to different results. At present, both optimistic and pessimistic multigranulation rough sets have been studied independently and thoroughly. But, sometimes, a decision-maker’s attitude may vary, which may shift either from an optimistic to pessimistic view of decision-making or from a pessimistic to optimistic view of decision-making. In this paper, we propose a novel multigranulation rough set model, which synthesizes optimistic and pessimistic attitude preferences. Specifically, we put forward methods to evaluate the attitude preferences in four types of decision systems. Two main issues are addressed with regard to attitude preference dependency. The first is concerned with the common attitude preference, while the other relates to the sequence-dependent attitude preference. Finally, we present three types of multigranulation rough set models from the perspective of the different connection methods between optimistic and pessimistic attitude preferences.https://www.mdpi.com/2227-7390/13/9/1367rough set theorygranular computingmultigranulation rough setattitude preference |
| spellingShingle | Hongwei Wang Huilai Zhi Yinan Li Daxin Zhu Jianbing Xiahou A Generalized Multigranulation Rough Set Model by Synthesizing Optimistic and Pessimistic Attitude Preferences Mathematics rough set theory granular computing multigranulation rough set attitude preference |
| title | A Generalized Multigranulation Rough Set Model by Synthesizing Optimistic and Pessimistic Attitude Preferences |
| title_full | A Generalized Multigranulation Rough Set Model by Synthesizing Optimistic and Pessimistic Attitude Preferences |
| title_fullStr | A Generalized Multigranulation Rough Set Model by Synthesizing Optimistic and Pessimistic Attitude Preferences |
| title_full_unstemmed | A Generalized Multigranulation Rough Set Model by Synthesizing Optimistic and Pessimistic Attitude Preferences |
| title_short | A Generalized Multigranulation Rough Set Model by Synthesizing Optimistic and Pessimistic Attitude Preferences |
| title_sort | generalized multigranulation rough set model by synthesizing optimistic and pessimistic attitude preferences |
| topic | rough set theory granular computing multigranulation rough set attitude preference |
| url | https://www.mdpi.com/2227-7390/13/9/1367 |
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