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The aim of this article 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 union-soft sets is introduced, and its application to BCK/BCI-algebras is considered. The notions of union-soft algebras, union-soft (commutative) ideals and closed union-soft ideals are introduced, and related properties and relations are investigated. Conditions for a union-soft ideal to be closed are provided. Conditions for a union-soft ideal to be a union-soft commutative ideal are also provided. Characterizations of (closed) unionsoft ideals and union-soft commutative ideals are established. Extension property for a union-soft commutative ideal is established.
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참고문헌 (27)
참고문헌 신청
A. O. Atagun / 2011 / Soft substructures of rings, fields and modules / Comput. Math. Appl 61 (3) : 592 ~ 601
D. Chen / 2005 / The parameterization reduction of soft sets and its applications / Comput. Math. Appl 49 (5) : 757 ~ 763
D. Molodtsov / 1999 / Soft set theory - First results / Comput. Math. Appl 37 (4) : 19 ~ 31
F. Feng / 2008 / Soft semirings / Comput. Math. Appl 56 (10) : 2621 ~ 2628
F. Feng / 2011 / Soft rough sets applied to multicriteria group decision making / Ann. Fuzzy Math. Inform 2 (1) : 69 ~ 80
D. Chen / 2005 / The parameterization reduction of soft sets and its applications / Comput. Math. Appl 49 (5) : 757 ~ 763
D. Molodtsov / 1999 / Soft set theory - First results / Comput. Math. Appl 37 (4) : 19 ~ 31
F. Feng / 2008 / Soft semirings / Comput. Math. Appl 56 (10) : 2621 ~ 2628
F. Feng / 2011 / Soft rough sets applied to multicriteria group decision making / Ann. Fuzzy Math. Inform 2 (1) : 69 ~ 80
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