Three-way weighted combination-entropies based on three-layer granular structures
Rough set theory is an important theory for the uncertain information processing. The information theoretic measures have been introduced into rough set theory and provided a new effective method in uncertainty measurement and attribute reduction. However, most of them did not consider the hierarchi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2017-07-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.21042/AMNS.2017.2.00027 |
| _version_ | 1811272136948449280 |
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| author | Jun Wang Lingyu Tang Xianyong Zhang Yuyan Luo |
| author_facet | Jun Wang Lingyu Tang Xianyong Zhang Yuyan Luo |
| author_sort | Jun Wang |
| collection | DOAJ |
| description | Rough set theory is an important theory for the uncertain information processing. The information theoretic measures have been introduced into rough set theory and provided a new effective method in uncertainty measurement and attribute reduction. However, most of them did not consider the hierarchical structure of a decision table (D-Table). Thus, this paper concretely constructs three-way weighted combination-entropies based on the D-Table’s three-layer granular structures and Bayes’ theorem from a new perspective, and reveals the granulation monotonicity and systematic relationships of three-way weighted combination-entropies. The relevant conclusion provides a more complete and updated interpretation of granular computing for the uncertainty measurement, and it also establishes a more effective basis for the quantitative application in attribute reduction. |
| first_indexed | 2024-04-12T22:34:44Z |
| format | Article |
| id | doaj.art-4a7e0d5d6f754d11946bd035b93e49c9 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-04-12T22:34:44Z |
| publishDate | 2017-07-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-4a7e0d5d6f754d11946bd035b93e49c92022-12-22T03:13:53ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562017-07-012232934010.21042/AMNS.2017.2.00027Three-way weighted combination-entropies based on three-layer granular structuresJun Wang0Lingyu Tang1Xianyong Zhang2Yuyan Luo3Business School, Sichuan Normal University, Sichuan, ChinaSchool of Mathematical Science, Sichuan Normal University, Sichuan, ChinaSchool of Mathematical Science, Sichuan Normal University, Sichuan, ChinaManagement Science School, Chengdu University of Technology, Sichuan, ChinaRough set theory is an important theory for the uncertain information processing. The information theoretic measures have been introduced into rough set theory and provided a new effective method in uncertainty measurement and attribute reduction. However, most of them did not consider the hierarchical structure of a decision table (D-Table). Thus, this paper concretely constructs three-way weighted combination-entropies based on the D-Table’s three-layer granular structures and Bayes’ theorem from a new perspective, and reveals the granulation monotonicity and systematic relationships of three-way weighted combination-entropies. The relevant conclusion provides a more complete and updated interpretation of granular computing for the uncertainty measurement, and it also establishes a more effective basis for the quantitative application in attribute reduction.https://doi.org/10.21042/AMNS.2017.2.00027rough setgranular computingthree-layer granular structuresthree-way weighted combination-entropiesthree-way decisionsbayes’ theorem68t3068t37 |
| spellingShingle | Jun Wang Lingyu Tang Xianyong Zhang Yuyan Luo Three-way weighted combination-entropies based on three-layer granular structures Applied Mathematics and Nonlinear Sciences rough set granular computing three-layer granular structures three-way weighted combination-entropies three-way decisions bayes’ theorem 68t30 68t37 |
| title | Three-way weighted combination-entropies based on three-layer granular structures |
| title_full | Three-way weighted combination-entropies based on three-layer granular structures |
| title_fullStr | Three-way weighted combination-entropies based on three-layer granular structures |
| title_full_unstemmed | Three-way weighted combination-entropies based on three-layer granular structures |
| title_short | Three-way weighted combination-entropies based on three-layer granular structures |
| title_sort | three way weighted combination entropies based on three layer granular structures |
| topic | rough set granular computing three-layer granular structures three-way weighted combination-entropies three-way decisions bayes’ theorem 68t30 68t37 |
| url | https://doi.org/10.21042/AMNS.2017.2.00027 |
| work_keys_str_mv | AT junwang threewayweightedcombinationentropiesbasedonthreelayergranularstructures AT lingyutang threewayweightedcombinationentropiesbasedonthreelayergranularstructures AT xianyongzhang threewayweightedcombinationentropiesbasedonthreelayergranularstructures AT yuyanluo threewayweightedcombinationentropiesbasedonthreelayergranularstructures |