A novel probabilistic fuzzy set for uncertainties-based integration inference

The probabilistic fuzzy set and the related probabilistic fuzzy logic system is designed for handling the uncertainties with both stochastic and fuzzy features. In this paper, based on the review of probabilistic fuzzy logic system, a novel probabilistic fuzzy set is proposed. It considers random variation from center in the triangular membership function. The work presented will improve the potential application of probabilistic fuzzy sets.