Applications of Soft Sets in BE-Algebras

Abstract

The notion of intersectional soft subalgebras of a BE-algebra is introduced, and related properties are investigated. Characterization of an intersectional soft subalgebra is discussed. The problem of classifying intersectional soft subalgebras by their inclusive subalgebras will be solved.

On soft filters of soft BE-algebras

“…But, generally, every S-filter of X is not a filter of X. Then X is a BE-algebra [11]. The set A = {1, b, c} is not a filter of…”

“…In [18], Park et al introduced the notion of soft ws-algebras, soft subalgebras and soft deductive systems and derived their basic properties. In [1,11,13] , researchers studied on applications of soft sets in BE-algebras.…”

Soft Intervals and Soft Ordered Topology

“…[7] gave a matrix representation of soft sets and using this representations made soft set have a rich computer application potential. Recently, the properties and applications on the soft set theory [1], [12], [13], [14], [15], [23], [21] and the fuzzy soft set theory [16], [4], [26], [9], [25], [5] have been studied increasingly. Babitha and Sunil [2] defined soft set relation and [3] ordering on soft sets.…”

On Soft Topology

“…Then many versions of it have been developed and applied to a lot of areas from algebra to decision making problems such as [1][2][3]6,8,[13][14][15][16][18][19][20]24,26,28,30]. One of these areas is Soft Topology [7] propounding by using the soft sets given by Çağman and Enginoğlu [5] and defining on a soft set by using the soft subsets of it.…”