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

An inference method which matches the intuition of human reasoning is proposed. For each fuzzy rule "If x is A/spl tilde/ then y is B/spl tilde/", the proposed inference method produces an output fuzzy subset B/spl tilde/' according to the spatial relationship of input fuzzy subset A/spl tilde/' and the antecedent A/spl tilde/. The membership function of the output fuzzy subset B/spl tilde/' is of the same shape as that of the input fuzzy subset A/spl tilde/'. Moreover, the spatial relationship of B/spl tilde/ and B/spl tilde/' is consistent with that of A and A/spl tilde/'. Experiments on a truck backer-parking controller are performed to compare our proposed inference method with E.H. Mamdani's (1981) method. These experiments show that our results compare favorably with those of Mamdani's method.