Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets
The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notion of int-soft positive implicative ideals is introduced, and related properties are investigated. Re...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/853907 |
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| _version_ | 1832549565486596096 |
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| author | Eun Hwan Roh Young Bae Jun |
| author_facet | Eun Hwan Roh Young Bae Jun |
| author_sort | Eun Hwan Roh |
| collection | DOAJ |
| description | The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notion of int-soft positive implicative ideals is introduced, and related properties are investigated. Relations between an int-soft ideal and an int-soft positive implicative ideal are established. Characterizations of an int-soft positive implicative ideal are obtained. Extension property for an int-soft positive implicative ideal is constructed. The ∧-product and ∨-product of int-soft positive implicative ideals are considered, and the soft intersection (resp., union) of int-soft positive implicative ideals is discussed. |
| format | Article |
| id | doaj-art-252b164758f4413a95acac6234958c82 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-252b164758f4413a95acac6234958c822025-02-03T06:10:58ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/853907853907Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft SetsEun Hwan Roh0Young Bae Jun1Department of Mathematics Education, Chinju National University of Education, Jinju 660-756, Republic of KoreaDepartment of Mathematics Education (and RINS), Gyeongsang National University, Jinju 660-701, Republic of KoreaThe aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notion of int-soft positive implicative ideals is introduced, and related properties are investigated. Relations between an int-soft ideal and an int-soft positive implicative ideal are established. Characterizations of an int-soft positive implicative ideal are obtained. Extension property for an int-soft positive implicative ideal is constructed. The ∧-product and ∨-product of int-soft positive implicative ideals are considered, and the soft intersection (resp., union) of int-soft positive implicative ideals is discussed.http://dx.doi.org/10.1155/2013/853907 |
| spellingShingle | Eun Hwan Roh Young Bae Jun Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets Journal of Applied Mathematics |
| title | Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets |
| title_full | Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets |
| title_fullStr | Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets |
| title_full_unstemmed | Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets |
| title_short | Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets |
| title_sort | positive implicative ideals of bck algebras based on intersectional soft sets |
| url | http://dx.doi.org/10.1155/2013/853907 |
| work_keys_str_mv | AT eunhwanroh positiveimplicativeidealsofbckalgebrasbasedonintersectionalsoftsets AT youngbaejun positiveimplicativeidealsofbckalgebrasbasedonintersectionalsoftsets |