In symbolic logic a statement is either true or false (consider true to have a value of 1 and false a value of 0) In fuzzy logic nothing is true or...

In symbolic logic a statement is either true or false (consider true to have a value of 1 and false a value of 0) In fuzzy logic nothing is true or false, but everything is a matter of degree. For example consider the statement the sun is shining, In fuzzy logic this statement may have a value between 0 and 1 and maybe constantly changing. for example if the sun is partially blocked by cloudsthe value of this statement may be 0.25. in fuzzy logic the values of connective statements are found as follows for example p and q.

Not p has a true value of 1 - p. 

p and q has a truth value equal to the minimum of p and q

p or q has a truth value equal to the maximum of p and q.

(one arrow pointing from p to q in other words conditional)If p then q has a truth value equal to the minimum of 1 and 1 - p + q.

( Here there is a biconditional arrow) p if and only if q has a truth value equal to the minimum of 1 - |p - q|, that is 1 minus the absolute value of p minus q.

Suppose the statement p: the sun is shining has a truth value of 0.94 and the statement q: mary is getting a tan has a truth value of 0.21. find the truth value of

a. not p

b. not q

c. p and q

d. p or q

e. if p then q (just one arrow pointing from p to q)

f. p if and only if q ( in other words biconditional) (the double arrow that points to both p and q)