On sensible fuzzy ideals of BCK-algebras with respect to a t-conorm
We introduce the notion of sensible fuzzy ideals of BCK-algebras with respect to a t-conorm and investigate some of their properties. We give the conditions for a sensible fuzzy subalgebra with respect to a t-conorm to be a sensible fuzzy ideal with respect to a t-conorm. Some properties of the dire...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/35930 |
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| _version_ | 1832567206467076096 |
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| author | M. Akram Jianming Zhan |
| author_facet | M. Akram Jianming Zhan |
| author_sort | M. Akram |
| collection | DOAJ |
| description | We introduce the notion of sensible fuzzy ideals of BCK-algebras
with respect to a t-conorm and investigate some of their
properties. We give the conditions for a sensible fuzzy subalgebra
with respect to a t-conorm to be a sensible fuzzy ideal with
respect to a t-conorm. Some properties of the direct product and
S
-product of fuzzy ideals of BCK-algebras with respect to a
t-conorm are also discussed. |
| format | Article |
| id | doaj-art-ed378e5aee834945a5f35a9cc18c7068 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ed378e5aee834945a5f35a9cc18c70682025-02-03T01:02:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/3593035930On sensible fuzzy ideals of BCK-algebras with respect to a t-conormM. Akram0Jianming Zhan1University College of Information Technology, University of The Punjab, Allama Iqbal Campus (Old Campus), P. O. Box 54000, Lahore, PakistanDepartment of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, ChinaWe introduce the notion of sensible fuzzy ideals of BCK-algebras with respect to a t-conorm and investigate some of their properties. We give the conditions for a sensible fuzzy subalgebra with respect to a t-conorm to be a sensible fuzzy ideal with respect to a t-conorm. Some properties of the direct product and S -product of fuzzy ideals of BCK-algebras with respect to a t-conorm are also discussed.http://dx.doi.org/10.1155/IJMMS/2006/35930 |
| spellingShingle | M. Akram Jianming Zhan On sensible fuzzy ideals of BCK-algebras with respect to a t-conorm International Journal of Mathematics and Mathematical Sciences |
| title | On sensible fuzzy ideals of BCK-algebras with respect to
a t-conorm |
| title_full | On sensible fuzzy ideals of BCK-algebras with respect to
a t-conorm |
| title_fullStr | On sensible fuzzy ideals of BCK-algebras with respect to
a t-conorm |
| title_full_unstemmed | On sensible fuzzy ideals of BCK-algebras with respect to
a t-conorm |
| title_short | On sensible fuzzy ideals of BCK-algebras with respect to
a t-conorm |
| title_sort | on sensible fuzzy ideals of bck algebras with respect to a t conorm |
| url | http://dx.doi.org/10.1155/IJMMS/2006/35930 |
| work_keys_str_mv | AT makram onsensiblefuzzyidealsofbckalgebraswithrespecttoatconorm AT jianmingzhan onsensiblefuzzyidealsofbckalgebraswithrespecttoatconorm |