Mamdani Approach to Fuzzy Control, Logical Approach, What Else?

摘要

In fuzzy control, two approaches are mainly used: Mamdaniu27s approach, in which we represent the knowledge base as a disjunction of statements Ai(x) u26 Bi(u) corresponding to individual rules, and logical approach, in which the knowledge base is represented as a conjunction of the rules themselves Ai(x) --u3e Bi(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 u22exclusive oru22 operation and correspond, e.g., to the fuzzy transform idea.