Unit Interval - Fuzzy Logic

Fuzzy Logic

In logic, the unit interval can be interpreted as a generalization of the Boolean domain {0,1}, in which case rather than only taking values 0 or 1, any value between and including 0 and 1 can be assumed. Algebraically, negation (NOT) is replaced with conjunction (AND) is replaced with multiplication, and disjunction (OR) is defined via De Morgan's law.

Interpreting these values as logical truth values yields a multi-valued logic, which forms the basis for fuzzy logic and probabilistic logic. In these interpretations, a value is interpreted as the "degree" of truth – to what extent a proposition is true, or the probability that the proposition is true.

Read more about this topic:  Unit Interval

Famous quotes containing the words fuzzy and/or logic:

    Even their song is not a sure thing.
    It is not a language;
    it is a kind of breathing.
    They are two asthmatics
    whose breath sobs in and out
    through a small fuzzy pipe.
    Anne Sexton (1928–1974)

    The American Constitution, one of the few modern political documents drawn up by men who were forced by the sternest circumstances to think out what they really had to face instead of chopping logic in a university classroom.
    George Bernard Shaw (1856–1950)