A new approach to fuzzy logic inference based on spatial relationship of fuzzy subsets

In the study, a new inference method which matches the intuition of human reasoning is proposed. For each fuzzy rule ''If x is (A) over tilde then y is (B) over tilde,'' the proposed inference method produces an output fuzzy subset (B') over tilde according to the spatial relationship of input fuzzy subset (A') over tilde and the antecedent (A) over tilde. The membership function of the output fuzzy subset (B') over tilde is of the same shape as that of the input fuzzy subset (A') over tilde. Moreover, the spatial relationship of (B) over tilde and (B') over tilde is consistent with that of (A) over tilde and (A') over tilde. Experiments on a truck backer-parking controller are performed to compare our proposed inference method with the Mamdani's method. These experiments show that our results compares favorably with those of the Mamdani's method.