142 Chapter 5 Fuzzy LogiC
5.9 FUZZY PROPOSITIONS
A fuzzy proposition is a statement that derives a fuzzy truth value. The truth
value of the proposition can be given as T(p), which lies between [0, 1]. For
example, if p: Mr. Bond is honest, then T(p) = 0.9.
5.9.1 Fuzzy Connectives
Fuzzy connectives are used to join simple fuzzy propositions to make com-
pound propositions. Negations (~), disjunctions (∪), conjunctions (∩), and
implications (⇒) are used as fuzzy connectives. The operations are defined
in the following sections.
5.9.1.1 Disjunctions
The meaning of a disjunction is given by a union function:
X is either A or B
Then X is A ∪ B
The meaning of “X is
A
∪
B
” is given by μ
A
∪
B
. The maximum operator, as
discussed earlier, can be used ...