On Some Fuzzy Filters in Pseudo-BCI Algebras
Some new properties of fuzzy associative filters (also known as fuzzy associative pseudo-filters), fuzzy p-filter (also known as fuzzy pseudo-p-filters), and fuzzy a-filter (also known as fuzzy pseudo-a-filters) in pseudo-BCI algebras are investigated. By these properties, the following important re...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/718972 |
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| author | Xiaohong Zhang |
| author_facet | Xiaohong Zhang |
| author_sort | Xiaohong Zhang |
| collection | DOAJ |
| description | Some new properties of fuzzy associative filters (also known as fuzzy associative pseudo-filters), fuzzy p-filter (also known as fuzzy pseudo-p-filters), and fuzzy a-filter (also known as fuzzy pseudo-a-filters) in pseudo-BCI algebras are investigated. By these properties, the following important results are proved: (1) a fuzzy filter (also known as fuzzy pseudo-filters) of a pseudo-BCI algebra is a fuzzy associative filter if and only if it is a fuzzy a-filter; (2) a filter (also known as pseudo-filter) of a pseudo-BCI algebra is associative if and only if it is an a-filter (also call it pseudo-a filter); (3) a fuzzy filter of a pseudo-BCI algebra is fuzzy a-filter if and only if it is both a fuzzy p-filter and a fuzzy q-filter. |
| format | Article |
| id | doaj-art-50e45043d781429599b677814537d674 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-50e45043d781429599b677814537d6742025-02-03T01:22:14ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/718972718972On Some Fuzzy Filters in Pseudo-BCI AlgebrasXiaohong Zhang0College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, ChinaSome new properties of fuzzy associative filters (also known as fuzzy associative pseudo-filters), fuzzy p-filter (also known as fuzzy pseudo-p-filters), and fuzzy a-filter (also known as fuzzy pseudo-a-filters) in pseudo-BCI algebras are investigated. By these properties, the following important results are proved: (1) a fuzzy filter (also known as fuzzy pseudo-filters) of a pseudo-BCI algebra is a fuzzy associative filter if and only if it is a fuzzy a-filter; (2) a filter (also known as pseudo-filter) of a pseudo-BCI algebra is associative if and only if it is an a-filter (also call it pseudo-a filter); (3) a fuzzy filter of a pseudo-BCI algebra is fuzzy a-filter if and only if it is both a fuzzy p-filter and a fuzzy q-filter.http://dx.doi.org/10.1155/2014/718972 |
| spellingShingle | Xiaohong Zhang On Some Fuzzy Filters in Pseudo-BCI Algebras The Scientific World Journal |
| title | On Some Fuzzy Filters in Pseudo-BCI Algebras |
| title_full | On Some Fuzzy Filters in Pseudo-BCI Algebras |
| title_fullStr | On Some Fuzzy Filters in Pseudo-BCI Algebras |
| title_full_unstemmed | On Some Fuzzy Filters in Pseudo-BCI Algebras |
| title_short | On Some Fuzzy Filters in Pseudo-BCI Algebras |
| title_sort | on some fuzzy filters in pseudo bci algebras |
| url | http://dx.doi.org/10.1155/2014/718972 |
| work_keys_str_mv | AT xiaohongzhang onsomefuzzyfiltersinpseudobcialgebras |