Probabilistic intuitionistic fuzzy rule based controller

This paper explores the connections between intuitionistic fuzzy logic and probability to discover the potential of the combination of these two forms of uncertainty in modeling of the real world events. We have defined intuitionistic fuzzy set on probabilistic spaces and discussed its links with evidence theory. The notion of probabilistic intuitionistic fuzzy rule is also introduced. An approach is devised to compute the net conditional possibility for such rules that can form the basis to extend the existing fuzzy models. The proposed approach is illustrated through a case-study.