Abstract
In this paper, we introduce a more general approach to the fuzzification of fuzzy concavity. More specifically, the degree of
L
,
M
-fuzzy concavity is introduced and characterized as a generalization of
L
-concave structure and
L
,
M
-fuzzy concave structure. Based on that, the degree of
L
,
M
-fuzzy concavity preserving and
L
,
M
-fuzzy concave-to-concave of a function are defined. Some properties and relationships between the degree of
L
,
M
-fuzzy concavity preserving and
L
,
M
-fuzzy concave-to-concave functions are discussed.