A theory for non-linear prediction approach in the presence of vague variables: With application to BMI monitoring

Abstract

In 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 dene a threshold pointmay leads us more efficient results with respect to crisp thresholds. Arellano-Valle et al. [2] dened a selection distribution for analysis of truncated data with crisp threshold. In this paper, we dene 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.