In Boolean logic, with the rule ``IF X is A THEN Y is B'', the proposition X is A has to be observed to consider the proposition Y is B.

In fuzzy logic, a proposition ``X is  '', close to the premise ``X is A'' can be observed to provide a conclusion ``Y is '' close to the conclusion ``Y is B '' [7].

A simple fuzzy inference can be represented as:

Rule	: IF	X is A THEN	Y is B
Fact	:	X is
Conclusion	:		Y is

To infer such a fuzzy inference we use a mechanism called generalized modus ponens. Here, we use one based on the fuzzy implication of Brouwer-Gödel [6] expressed by:

Remark: Assume the operator of the implication of Brouwer-Gödel and the combination operator, the formula (2) can be expressed by that we use now to simplify notations.