Can anyone please give me a step by step procedure on how to multiply two fuzzy numbers A and B where
{(x+1)/2 |(-1<x<=1),
uA(x) = {(3-x)/2 |(1<x<=3),
{0 |otherwise
{(x-1)/2 |(1<x<=3),
uB(x) = {(5-x)/2 |(3<x<=5),
{0 |otherwise
Multiplication is a bit tricky, even if you have simple triangular membership functions. There is a step-by-step description here: http://debian.fmi.uni-sofia.bg/~cathy/SoftCpu/FUZZY_BOOK/chap5-3.pdf
In most cases, however, the simpler approximation described in example 5.12 (p 8) is probably good enough. In this you just multiply each of the three MF-numbers in one set with the three corresponding numbers in the other. (The results are, however, not very intuitive for numbers close to 0 - Anyone care to comment on/explain this?)