Mamdani approach to fuzzy control, logical approach, what else?

In fuzzy control, two approaches are mainly used: Mamdani's approach, in which we represent the knowledge base as a disjunction of statements A_i(x) & B_i(u) corresponding to individual rules, and logical approach, in which the knowledge base is represented as a conjunction of the rules themselves A_i(x) → B_i(u). Both approaches are known not to be perfect, so a natural question arises: what other approaches are possible? In this paper, we describe all possible approaches; alternative approaches use an “exclusive or” operation and correspond, e.g., to the fuzzy transform idea.