Applications of double-framed soft ideals in BE-algebras
Year 2016,
Volume: 4 Issue: 2, 285 - 295, 01.03.2016
Khizar Hayat
,
Bing-yuan Cao
Tahir Mahmood
Kalim Ul-haq Tariq
Abstract
In this study, the notion of a double-framed soft ideal (DFS-ideal) in BE-algebras is introduced and discussed related properties by means of R-inclusive set and S-exclusive set. We presented DFS-int-uni ideal of two DFS-ideals in BE-algebras. We characterized the properties of the image and pre-image of DFS-ideals by homomorphism of BE-algebras.
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Year 2016,
Volume: 4 Issue: 2, 285 - 295, 01.03.2016
Khizar Hayat
,
Bing-yuan Cao
Tahir Mahmood
Kalim Ul-haq Tariq
References
- D. Molodtsov, Soft set theory-first results. Computers and Mathematics with Applications, 37 (1999), 19-31.
- P. K. Maji, R. Biswas, A. R. Roy, Soft set theory. Comput. Math. Appl. 45 (2003) 555-562.
- H. Aktas, N. Cagman, Soft sets and soft groups. Inform. Sci. 177 (2007) 2726-2735.
- A. Sezgin, A. O. Atagun, N. Cagman, Union soft substructures of near-rings and N-groups. Neural Comput. & Applic. 20 (2012)
133-143.
- N. Cagman, F. Citak, H. Aktas, Soft int-group and its applications to group theory. Neural Comput. & Applic. 21 (2012) 151-158.
- M. I. Ali, F. Feng, X. Liu, W. K. Min, M. Shabir, On some new operations in soft set theory. Comput. Math. Appl. 57 (2009)
1547-1553.
- H. S. Kim and Y. H. Kim, “On BE-algebras,” Scientiae Mathematicae Japonicae, 66 (2007), 113–116.
- A. Rezaei, and A. B. Saeid, Commutative ideals in BE-algebras. Kyungpook Math. J. 52 (2012), 483-494.
- A. Rezaei, A. B. Saeid, and R. A. Borzooei, Relation between Hilbert algebras and BE-algebras. Appl. Appl. Math. 8 (2013),
573-584.
- S. S. Ahn and K. S. So, On ideals and upper sets in BE-algebras, Sci. Math. Jpn. 68 (2008) 279–285.
- S. S. Ahn, Y. H. Kim and K. S. So, Fuzzy BE-algebras, J. Appl. Math. & Informatics, 29 (2011), 1049 - 1057.
- Y. B. Jun, K. J. Lee and S. Z. Song. Fuzzy ideals in BE-algebra, Bull. Malays. Math. Sci. Soc. 33 (2010) 147–153.
- Y. B. Jun, and S. S. Ahn, Applications of soft sets in BE-algebras, Hind. Pub. Corp. Algebra, (2013), Article ID 368962, 1-8.
- A. R. Hadipour, Double-framed soft BF-algebras, Indian J. of Sci. and Tech., 7 (2014) 491–496.
- Y. B. Jun and S. S. Ahn, Double-framed soft sets with applications in BCK/BCI-algebras, J. Appl. Math., 2012, Article ID 178159,
1-15.
- S. Abdullaha, A. F. Ali, Applications of N-structures in implicative filters of BE-algebras, J. of Int. & Fuzzy Syst. 29 (2015)
517–524.
- K. Hayat, T.Mahmood, Some Applications of Bipolar Soft Set: Characterizations of Two Isomorphic Hemi-Rings via BSI-h-Ideals,
BJMCS, 13 (2016) 1-22.
- Y. B. Jun, Soft BCK/BCI-algebras, Comp. Math, with Appli., 56 (2008) 1408–1413.