Trapezoid + Gaussian, take the max
Hybrid fuzzy membership functionA trapezoidal function (parameters a, b, c, d) is bounded and captures broad trends: full membership over set intervals, nothing outside them.
A Gaussian function (mean μ, spread σ) is smooth and bell-shaped. It focuses membership around a key value and helps highlight abnormalities.
The hybrid takes the element-wise maximum of the two at every x. The result handles gradual transitions and abrupt shifts in the same function, and its shape can be matched to different data distributions by changing the parameters.
Drag the sliders. The red curve is the hybrid membership.

