Rough Hyperfilters in Po-LA-Semihypergroups
This paper concerns the study of hyperfilters of ordered LA-semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA-semihypergroup. We define the concept of rough hyperfilters and provide useful examples...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/8326124 |
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| _version_ | 1832562714727153664 |
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| author | Ferdaous Bouaziz Naveed Yaqoob |
| author_facet | Ferdaous Bouaziz Naveed Yaqoob |
| author_sort | Ferdaous Bouaziz |
| collection | DOAJ |
| description | This paper concerns the study of hyperfilters of ordered LA-semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA-semihypergroup. We define the concept of rough hyperfilters and provide useful examples on it. A rough hyperfilter is a novel extension of hyperfilter of an ordered LA-semihypergroup. We prove that the lower approximation of a left (resp., right, bi) hyperfilter of an ordered LA-semihypergroup becomes left (resp., right, bi) hyperfilter of an ordered LA-semihypergroup. Similarly we prove it for upper approximation. |
| format | Article |
| id | doaj-art-f9e7b27647cb4aac96d483f4fc97b5e1 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f9e7b27647cb4aac96d483f4fc97b5e12025-02-03T01:22:07ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/83261248326124Rough Hyperfilters in Po-LA-SemihypergroupsFerdaous Bouaziz0Naveed Yaqoob1Department of Mathematics, College of Science and Arts Buraydha, Qassim University, Saudi ArabiaDepartment of Mathematics and Statistics, Riphah International University, I-14, Islamabad, PakistanThis paper concerns the study of hyperfilters of ordered LA-semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA-semihypergroup. We define the concept of rough hyperfilters and provide useful examples on it. A rough hyperfilter is a novel extension of hyperfilter of an ordered LA-semihypergroup. We prove that the lower approximation of a left (resp., right, bi) hyperfilter of an ordered LA-semihypergroup becomes left (resp., right, bi) hyperfilter of an ordered LA-semihypergroup. Similarly we prove it for upper approximation.http://dx.doi.org/10.1155/2019/8326124 |
| spellingShingle | Ferdaous Bouaziz Naveed Yaqoob Rough Hyperfilters in Po-LA-Semihypergroups Discrete Dynamics in Nature and Society |
| title | Rough Hyperfilters in Po-LA-Semihypergroups |
| title_full | Rough Hyperfilters in Po-LA-Semihypergroups |
| title_fullStr | Rough Hyperfilters in Po-LA-Semihypergroups |
| title_full_unstemmed | Rough Hyperfilters in Po-LA-Semihypergroups |
| title_short | Rough Hyperfilters in Po-LA-Semihypergroups |
| title_sort | rough hyperfilters in po la semihypergroups |
| url | http://dx.doi.org/10.1155/2019/8326124 |
| work_keys_str_mv | AT ferdaousbouaziz roughhyperfiltersinpolasemihypergroups AT naveedyaqoob roughhyperfiltersinpolasemihypergroups |