AbstractIn the statistical literature, truncated distributions can be used for modeling real data. Due to error
of measurement in truncated continuous data, choosing a crisp trimmed point caucuses a fault inference, so
using fuzzy sets to define a threshold pointmay leads us more efficient results with respect to crisp thresholds.
Arellano-Valle et al. [2] defined a selection distribution for analysis of truncated data with crisp threshold. In
this paper, we define fuzzy multivariate selection distribution that is an extension of the selection distributions
using fuzzy threshold. A practical data set with a fuzzy threshold point is considered to investigate the
relationship between high blood pressure and BMI.