Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroups
In this paper, we define type-1 quasi-hyperfilters (resp., type-1 strong quasi-hyperfilters, type-2 quasi-hyperfilters, type-2 strong quasi-hyperfilters, interior hyperfilters, strong interior hyperfilters, interior semihyperfilters, strong interior semihyperfilters) of an ordered LA-semihypergroup....
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021461?viewType=HTML |
| _version_ | 1818608835991961600 |
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| author | Naveed Yaqoob Jian Tang |
| author_facet | Naveed Yaqoob Jian Tang |
| author_sort | Naveed Yaqoob |
| collection | DOAJ |
| description | In this paper, we define type-1 quasi-hyperfilters (resp., type-1 strong quasi-hyperfilters, type-2 quasi-hyperfilters, type-2 strong quasi-hyperfilters, interior hyperfilters, strong interior hyperfilters, interior semihyperfilters, strong interior semihyperfilters) of an ordered LA-semihypergroup. We applied rough set theory to quasi and interior hyperfilters in ordered LA-semihypergroups. |
| first_indexed | 2024-12-16T14:48:58Z |
| format | Article |
| id | doaj.art-33e848b686454dd885a566fef15ed2d7 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-16T14:48:58Z |
| publishDate | 2021-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-33e848b686454dd885a566fef15ed2d72022-12-21T22:27:40ZengAIMS PressAIMS Mathematics2473-69882021-05-01687944796010.3934/math.2021461Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroupsNaveed Yaqoob0 Jian Tang 11. Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, Pakistan2. School of Mathematics and Statistics, Fuyang Normal University, Fuyang, Anhui, ChinaIn this paper, we define type-1 quasi-hyperfilters (resp., type-1 strong quasi-hyperfilters, type-2 quasi-hyperfilters, type-2 strong quasi-hyperfilters, interior hyperfilters, strong interior hyperfilters, interior semihyperfilters, strong interior semihyperfilters) of an ordered LA-semihypergroup. We applied rough set theory to quasi and interior hyperfilters in ordered LA-semihypergroups.http://www.aimspress.com/article/doi/10.3934/math.2021461?viewType=HTMLla-semihypergroupsordered la-semihypergroupsquasi-hyperfilterinterior hyperfilterrough sets |
| spellingShingle | Naveed Yaqoob Jian Tang Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroups AIMS Mathematics la-semihypergroups ordered la-semihypergroups quasi-hyperfilter interior hyperfilter rough sets |
| title | Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroups |
| title_full | Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroups |
| title_fullStr | Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroups |
| title_full_unstemmed | Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroups |
| title_short | Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroups |
| title_sort | approximations of quasi and interior hyperfilters in partially ordered la semihypergroups |
| topic | la-semihypergroups ordered la-semihypergroups quasi-hyperfilter interior hyperfilter rough sets |
| url | http://www.aimspress.com/article/doi/10.3934/math.2021461?viewType=HTML |
| work_keys_str_mv | AT naveedyaqoob approximationsofquasiandinteriorhyperfiltersinpartiallyorderedlasemihypergroups AT jiantang approximationsofquasiandinteriorhyperfiltersinpartiallyorderedlasemihypergroups |