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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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doaj-f9e7b27647cb4aac96d483f4fc97b5e12020-11-25T02:37:27ZengHindawi LimitedDiscrete 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ferdaous Bouaziz Naveed Yaqoob |
| spellingShingle |
Ferdaous Bouaziz Naveed Yaqoob Rough Hyperfilters in Po-LA-Semihypergroups Discrete Dynamics in Nature and Society |
| author_facet |
Ferdaous Bouaziz Naveed Yaqoob |
| author_sort |
Ferdaous Bouaziz |
| title |
Rough Hyperfilters in Po-LA-Semihypergroups |
| title_short |
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_sort |
rough hyperfilters in po-la-semihypergroups |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2019-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2019/8326124 |
| work_keys_str_mv |
AT ferdaousbouaziz roughhyperfiltersinpolasemihypergroups AT naveedyaqoob roughhyperfiltersinpolasemihypergroups |
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1724795524995874816 |