Abstract
In this paper, the notions of
∈
,
∈
∨
q
-fuzzy soft
BCK
/
BCI
-algebras and
∈
,
∈
∨
q
-fuzzy soft sub-
BCK
/
BCI
-algebras are introduced, and related properties are investigated. Furthermore, relations between fuzzy soft
BCK
/
BCI
-algebras and
∈
,
∈
∨
q
-fuzzy soft
BCK
/
BCI
-algebras are displayed. Moreover, conditions for an
∈
,
∈
∨
q
-fuzzy soft
BCK
/
BCI
-algebra to be a fuzzy soft
BCK
/
BCI
-algebra are provided. Also, the union, the extended intersection, and the “AND”-operation of two
∈
,
∈
∨
q
-fuzzy soft (sub-)
BCK
/
BCI
-algebras are discussed, and a characterization of an
∈
,
∈
∨
q
-fuzzy soft
BCK
/
BCI
-algebra is established.