Approximation of Rough Soft Set and Its Application to Lattice
The approximation of soft set is presented in modified soft rough (MSR) approximation space in this paper, i.e., approximation of an information system with respect to another information one. Besides, the concept of rough soft set is introduced in a modified soft rough approximation space. Various...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2015-09-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865815000680 |
| _version_ | 1797761572923244544 |
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| author | Sankar Kumar Roy Susanta Bera |
| author_facet | Sankar Kumar Roy Susanta Bera |
| author_sort | Sankar Kumar Roy |
| collection | DOAJ |
| description | The approximation of soft set is presented in modified soft rough (MSR) approximation space in this paper, i.e., approximation of an information system with respect to another information one. Besides, the concept of rough soft set is introduced in a modified soft rough approximation space. Various properties are studied like subset, union, intersection on rough soft set with some propositions presented on rough soft set. Moreover, the measure of roughness of soft set is defined in MSR-approximation space and the order relation is introduced on soft set. Furthermore, lattice theory is studied in the MSR-approximation space under a modified rough soft environment. Finally, some realistic examples are considered to usefulness and illustrate of the paper. |
| first_indexed | 2024-03-12T19:14:58Z |
| format | Article |
| id | doaj.art-5c9e8e577351488da324360367a1e5d9 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T19:14:58Z |
| publishDate | 2015-09-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-5c9e8e577351488da324360367a1e5d92023-08-02T05:35:34ZengTsinghua University PressFuzzy Information and Engineering1616-86582015-09-017337938710.1016/j.fiae.2015.09.008Approximation of Rough Soft Set and Its Application to LatticeSankar Kumar RoySusanta BeraThe approximation of soft set is presented in modified soft rough (MSR) approximation space in this paper, i.e., approximation of an information system with respect to another information one. Besides, the concept of rough soft set is introduced in a modified soft rough approximation space. Various properties are studied like subset, union, intersection on rough soft set with some propositions presented on rough soft set. Moreover, the measure of roughness of soft set is defined in MSR-approximation space and the order relation is introduced on soft set. Furthermore, lattice theory is studied in the MSR-approximation space under a modified rough soft environment. Finally, some realistic examples are considered to usefulness and illustrate of the paper.http://www.sciencedirect.com/science/article/pii/S1616865815000680Soft setRough setMSR-approximation spaceLattice |
| spellingShingle | Sankar Kumar Roy Susanta Bera Approximation of Rough Soft Set and Its Application to Lattice Fuzzy Information and Engineering Soft set Rough set MSR-approximation space Lattice |
| title | Approximation of Rough Soft Set and Its Application to Lattice |
| title_full | Approximation of Rough Soft Set and Its Application to Lattice |
| title_fullStr | Approximation of Rough Soft Set and Its Application to Lattice |
| title_full_unstemmed | Approximation of Rough Soft Set and Its Application to Lattice |
| title_short | Approximation of Rough Soft Set and Its Application to Lattice |
| title_sort | approximation of rough soft set and its application to lattice |
| topic | Soft set Rough set MSR-approximation space Lattice |
| url | http://www.sciencedirect.com/science/article/pii/S1616865815000680 |
| work_keys_str_mv | AT sankarkumarroy approximationofroughsoftsetanditsapplicationtolattice AT susantabera approximationofroughsoftsetanditsapplicationtolattice |