The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets
Fuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al. (2011) introduced the notion of soft fuzzy rough sets by combining fuzzy sets, rough sets, and soft s...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2013/197435 |
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| _version_ | 1832560516321509376 |
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| author | Zhiming Zhang |
| author_facet | Zhiming Zhang |
| author_sort | Zhiming Zhang |
| collection | DOAJ |
| description | Fuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al. (2011) introduced the notion of soft fuzzy rough sets by combining fuzzy sets, rough sets, and soft sets all together. The aim of this paper is to study the parameter reduction of fuzzy soft sets based on soft fuzzy rough approximation operators. We propose some concepts and conditions for two fuzzy soft sets to generate the same lower soft fuzzy rough approximation operators and the same upper soft fuzzy rough approximation operators. The concept of reduct of a fuzzy soft set is introduced and the procedure to find a reduct for a fuzzy soft set is given. Furthermore, the concept of exclusion of a fuzzy soft set is introduced and the procedure to find an exclusion for a fuzzy soft set is given. |
| format | Article |
| id | doaj-art-460c2956c5d941cf8a6482d7d86c2e89 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-460c2956c5d941cf8a6482d7d86c2e892025-02-03T01:27:17ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2013-01-01201310.1155/2013/197435197435The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough SetsZhiming Zhang0College of Mathematics and Computer Science, Hebei University, Baoding, Hebei 071002, ChinaFuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al. (2011) introduced the notion of soft fuzzy rough sets by combining fuzzy sets, rough sets, and soft sets all together. The aim of this paper is to study the parameter reduction of fuzzy soft sets based on soft fuzzy rough approximation operators. We propose some concepts and conditions for two fuzzy soft sets to generate the same lower soft fuzzy rough approximation operators and the same upper soft fuzzy rough approximation operators. The concept of reduct of a fuzzy soft set is introduced and the procedure to find a reduct for a fuzzy soft set is given. Furthermore, the concept of exclusion of a fuzzy soft set is introduced and the procedure to find an exclusion for a fuzzy soft set is given.http://dx.doi.org/10.1155/2013/197435 |
| spellingShingle | Zhiming Zhang The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets Advances in Fuzzy Systems |
| title | The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets |
| title_full | The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets |
| title_fullStr | The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets |
| title_full_unstemmed | The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets |
| title_short | The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets |
| title_sort | parameter reduction of fuzzy soft sets based on soft fuzzy rough sets |
| url | http://dx.doi.org/10.1155/2013/197435 |
| work_keys_str_mv | AT zhimingzhang theparameterreductionoffuzzysoftsetsbasedonsoftfuzzyroughsets AT zhimingzhang parameterreductionoffuzzysoftsetsbasedonsoftfuzzyroughsets |