A soft transfer and soft algebraic extension of int-soft subalgebras and ideals in $BCK/BCI$-algebras
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
Using the notion of soft sets, the concepts of the soft transfer, support and soft algebraic extension of an int-soft subalgebra and ideal in $BCK/BCI$-algebras are introduced, and related properties are investigated. Conditions for a soft set to be an int-soft subalgebra and ideal are provided. Regarding the notion of support, conditions for the soft transfer of a soft set to be an int-soft subalgebra and ideal are considered.
Abstract
Using the notion of soft sets, the concepts of the soft transfer, support and soft algebraic extension of an int-soft subalgebra and ideal in $BCK/BCI$-algebras are introduced, and related properties are investigated. Conditions for a soft set to be an int-soft subalgebra and ideal are provided. Regarding the notion of support, conditions for the soft transfer of a soft set to be an int-soft subalgebra and ideal are considered.
참고문헌 (18)
- Y. Huang, "BCI-Algebra" (2006), Science Press
- Y. B. Jun, "Soft BCK", BCI-algebras, 2008, pp.56(5), 1408~1413
- Y. B. Jun, "Intersection-soft filters in R0-algebras,", Discrete Dyn. Nat. Soc, 2013, pp.7~ (2013)
- 전영배, "Intersectional soft sets and applications to BCK", BCI-algebras, 2013, pp.28(1), 11~24[DOI]
- Y. B. Jun, "Intersectional soft BCK", BCI-algerbas, 2012, pp.4(1), 1~7
- Y. B. Jun, "Soft p-ideals of soft BCI-algebras", Comput. Math. Appl, 58(10), pp.2060~2068 (2009)
- Y. B. Jun, "Fuzzy commutative ideals in BCI-algebras", Commun. Korean Math. Soc, 9(1), pp.19~25 (1994)
- Y. B. Jun, "Applications of soft sets in ideal theory of BCK", BCI-algebras, 2008, pp.178(11), 2466~2475
- 전영배, "Fuzzy set theory applied to implicative ideals in $BCK$-algebras", 대한수학회보, 43(3), pp.461~470 (2006), 대한수학회
- Y. B. Jun, "Involutory and invertible fuzzy BCK-algebras", Fuzzy Sets and Systems, 117, pp.463~469 (2004)
- Kyoung Ja Lee, "Fuzzy translations and fuzzy multiplications of BCK", BCI-algebras, 2009, pp.24(3), 353~360[DOI]
- J. Meng, "BCK-Algebras" (1994), Kyungmoon Sa Co
- J. Meng, "Fuzzy implicative ideals of BCK-algebras", Fuzzy Sets and Systems, 89(2), pp.243~248 (1997)
- D. A. Molodtsov, "Soft set theory - First results", Comput. Math. Appl, (4-5), pp.19~31 (1999)
- D. A. Molodtsov, "The description of a dependence with the help of soft sets", J. Comput. Sys. Sc. Int, 40(6), pp.977~984 (2001)
- D. A. Molodtsov, "The Theory of Soft Sets" (2004), URSS Publishers
- D. A. Molodtsov, "Soft sets technique and its appli-cation", Nechetkie Sistemy i Myagkie Vychisleniya, 1(1), pp.8~39 (2006)
- 송석준, "INTERSECTIONAL SOFT SETS APPLIED TO SUBALGEBRAS", IDEALS IN BCK=BCI-ALGEBRAS, 2013, pp.23(3), 507~522[DOI]
