Fuzzy Logic > History of classical Logic (We love Aristotle) > Problems with classical Logic (We don't love Aristotle) > Solutions of Fuzzy Logic (We love Lotfi Zadeh) > Example of Fuzzy Logic (We love comfort)

Classical Logic > Greeks spent a lot of time thinking about truth, reason, and how to wear their beards > Logical rules are devised to explain the world we live in terms of inference and truth. > Aristotle set the stage for a major takeover in the sciences and philosophy with his six books on logic (the Organon) Socrates Aristotle Plato

Interconnectedness >Buddha was one of the first to explain reality in terms of unity and interconnectedness. > “Oneness” > Everything that exists also may contain its opposite. Buddha

Problems for Classical Logic > Actual values in world not realized > Circular or recursive set theory > Strict rules don't allow partial existance or states (i.e. something happened mostly, etc..) The sentence below is true. The sentence above is false.

Solutions of Fuzzy Logic > Allow boundaries of a collection of elements (sets) to be blurry > Allow elements to be a part of one another > “Closer” to cognitive reasoning systems (predicting or inferring with partial data)

Dr. Lotfi A. Zadeh >Professor of Electrical Engineering and Computer Science at UC Berkeley since 1959 > Held appointments at the Institute for Advanced Study, Princeton, NJ; MIT; IBM Research Labs; AI Center in Menlo Park, CA; Center for the Study of Language and Information, Stanford U. > ACM Allan Newell Award, Norbert Wiener Award, Honda prize, Okawa prize .. many more. > 26 honorary doctorates > Invented fuzzy set theory and fuzzy logic theory, computing with words.

Facets of Fuzzy Theory

Application of Fuzzy Logic -IF temperature is just right THEN keep fan at current speed -IF temperature is slightly cold THEN slow fan speed slightly -IF temperature is slightly hot THEN increase fan speed slightly -IF temperature is very cold then slow fan speed greatly -IF temperature is very hot THEN increase fan speed greatly >From this ruleset, optimal performance and use of resources (electricity, gears, filters) can be achieved by simply adding a few circuits and a sensor accordingly.

Citation Zadeh, Lotfi. “Fuzzy Logic” MIT Encyclopedia of the Cognitive Sciences. Cambridge, Massachusetts. MIT press, 1999. 335-336. Fuzzy Logic. 2008. Scholarpedia. <http://www.scholarpedia.org/article/Fuzzy_logic>. Fuzzy Logic -- History. <http://mathematica.ludibunda.ch/fuzzy-logic7.html>

External Links Some commercial applications of fuzzy logic: http://www.esru.strath.ac.uk/Reference/concepts/fuzzy/fuzzy_appl.10.htm Dr. Lotfi Zadeh's Scholarpedia “Fuzzy Logic” page: http://www.scholarpedia.org/article/Fuzzy_logic