fuzzy set theory

Page numbers are for draft copy at present; they will be replaced with correct numbers when final book is formatted. Chapter numbers are correct and will not change now.

Fuzzy set theory is one of the forms of fuzzy reasoning. Rather than saying a set has a precise collection of members, values are assigned a level of memership between 0 and 1. So that member(x,S)=1 means that x is definitely a member of the set S; member(y,S)=0 means that y definitely is not, and ; member(z,S)=0.5 means we aren't really sure about z.

Defined on page 45

Used on Chap. 3: page 45

Also known as fuzzy sets