The Soft Sets and Fuzzy Sets-Based Neural Networks and Application
This paper reviews and compares theories of fuzzy sets and soft sets from the perspective of transformation, and a machine learning model-SF-ANN (the soft sets and fuzzy sets based artificial neural network) is proposed. Liu et al. proved that every fuzzy set on a universe U can be considered as a s...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9015977/ |
| _version_ | 1818646356568309760 |
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| author | Zhicai Liu Jose Carlos R. Alcantud Keyun Qin Ling Xiong |
| author_facet | Zhicai Liu Jose Carlos R. Alcantud Keyun Qin Ling Xiong |
| author_sort | Zhicai Liu |
| collection | DOAJ |
| description | This paper reviews and compares theories of fuzzy sets and soft sets from the perspective of transformation, and a machine learning model-SF-ANN (the soft sets and fuzzy sets based artificial neural network) is proposed. Liu et al. proved that every fuzzy set on a universe U can be considered as a soft set, and show that any soft set can be regarded as even a fuzzy set. Inspired by this idea, we construct a neuron-like structure based on soft sets and fuzzy sets, and we get a more practical fuzzy learning model-SF-ANN. In practical applications, it can be used as a general methodology for establishing the membership function of fuzzy sets, and it also can be applied to pattern recognition, decision-making, etc. In general, it provides a new perspective to observe the relationship between soft sets and fuzzy sets, and it is easy to relate soft set theory and fuzzy set theory to machine learning methods. To a certain extent, it reveals that the research of fuzzy sets and artificial neural networks do lead to the same destination. |
| first_indexed | 2024-12-17T00:45:20Z |
| format | Article |
| id | doaj.art-8a0feb7b107246d1b58bd822c274ec0a |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-17T00:45:20Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-8a0feb7b107246d1b58bd822c274ec0a2022-12-21T22:09:55ZengIEEEIEEE Access2169-35362020-01-018416154162510.1109/ACCESS.2020.29767319015977The Soft Sets and Fuzzy Sets-Based Neural Networks and ApplicationZhicai Liu0Jose Carlos R. Alcantud1Keyun Qin2Ling Xiong3https://orcid.org/0000-0001-9900-2978School of Computer and Software Engineering, Xihua University, Chengdu, ChinaBORDA Research Unit and Multidisciplinary Institute of Enterprise (IME), University of Salamanca, Salamanca, SpainSchool of Mathematics, Southwest Jiaotong University, Chengdu, ChinaSchool of Computer and Software Engineering, Xihua University, Chengdu, ChinaThis paper reviews and compares theories of fuzzy sets and soft sets from the perspective of transformation, and a machine learning model-SF-ANN (the soft sets and fuzzy sets based artificial neural network) is proposed. Liu et al. proved that every fuzzy set on a universe U can be considered as a soft set, and show that any soft set can be regarded as even a fuzzy set. Inspired by this idea, we construct a neuron-like structure based on soft sets and fuzzy sets, and we get a more practical fuzzy learning model-SF-ANN. In practical applications, it can be used as a general methodology for establishing the membership function of fuzzy sets, and it also can be applied to pattern recognition, decision-making, etc. In general, it provides a new perspective to observe the relationship between soft sets and fuzzy sets, and it is easy to relate soft set theory and fuzzy set theory to machine learning methods. To a certain extent, it reveals that the research of fuzzy sets and artificial neural networks do lead to the same destination.https://ieeexplore.ieee.org/document/9015977/Fuzzy setssoft setsneural networks |
| spellingShingle | Zhicai Liu Jose Carlos R. Alcantud Keyun Qin Ling Xiong The Soft Sets and Fuzzy Sets-Based Neural Networks and Application IEEE Access Fuzzy sets soft sets neural networks |
| title | The Soft Sets and Fuzzy Sets-Based Neural Networks and Application |
| title_full | The Soft Sets and Fuzzy Sets-Based Neural Networks and Application |
| title_fullStr | The Soft Sets and Fuzzy Sets-Based Neural Networks and Application |
| title_full_unstemmed | The Soft Sets and Fuzzy Sets-Based Neural Networks and Application |
| title_short | The Soft Sets and Fuzzy Sets-Based Neural Networks and Application |
| title_sort | soft sets and fuzzy sets based neural networks and application |
| topic | Fuzzy sets soft sets neural networks |
| url | https://ieeexplore.ieee.org/document/9015977/ |
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