Fuzzy Logic
As an extension of the case of multi-valued logic, valuations of propositional variables into a set of membership degrees can be thought of as membership functions mapping predicates into fuzzy sets (or more formally, into an ordered set of fuzzy pairs, called a fuzzy relation). With these valuations, many-valued logic can be extended to allow for fuzzy premises from which graded conclusions may be drawn.
This extension is sometimes called "fuzzy logic in the narrow sense" as opposed to "fuzzy logic in the wider sense," which originated in the engineering fields of automated control and knowledge engineering, and which encompasses many topics involving fuzzy sets and "approximated reasoning."
Industrial applications of fuzzy sets in the context of "fuzzy logic in the wider sense" can be found at fuzzy logic.
Read more about this topic: Fuzzy Set
Famous quotes containing the words fuzzy and/or logic:
“What do you think of us in fuzzy endeavor, you whose directions are sterling, whose lunge is straight?
Can you make a reason, how can you pardon us who memorize the rules and never score?”
—Gwendolyn Brooks (b. 1917)
“Though living is a dreadful thing
And a dreadful thing is it
Life the niggard will not thank,
She will not teach who will not sing,
And what serves, on the final bank,
Our logic and our wit?”
—Philip Larkin (1922–1986)