Suppose we have the following fuzzy rule base: Rule 1: if x is SMALL and y is BIG then z=1+2x+3y Rule 2: if x is BIG or y is SMALL then z=1+2x-3y where the membership functions for SMALL and BIG are defined by HSMALL (S)=1 4 0 if s1 if Iss5, and BIG(S)=1- if otherwise 0 4 if S25 if 1s5 if otherwise respectively. Let the system inputs be xo-3 and yo=1. Calculate the output of the fuzzy system as we use Sugeno's inference mechanism (please provide details of the inference calculation).