Making High Density Interval from Fuzzy α -Cut: A Deterministic and an Interval-Based Possibility-to-Probability Transformation

Abstract

© 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. A probability distribution is constructed using a deterministic method by gradually slicing a fuzzy number and incrementally transforming a set of α-cuts into high density intervals. The test of the proposed method was conducted by artificial examples to make a comparison arbitrarily with other commonly used methods and measured by common statistics. The result showed a good, however not the best, possibility-to-probability transformation.