Fuzzy LogicSummaryThis article provides a general overview of the theory of fuzzy logic. It describes the concepts of fuzzy sets and the operations used in their manipulation, developed by Lofti Zadeh in 1965. The article gives examples of applications of fuzzy logic, with emphasis on the field of artificial intelligence. Fuzzy logic "When Theseus returned after killing the Minotaur, says Plutarch, the Athenians preserved his ship and, as the planks rotted, replaced them with new ones. When the first plank was replaced, everyone agreed that it was still the same ship. Adding a second plank made no difference either. The Athenians may have replaced every plank on the ship. Was it a different ship? has he become one?'[1]Questions of this nature have been bothering people accustomed to classical logic for ages. The Aristotelian concept of the excluded middle, where every logical preposition must be completely true or false, does not seem to answer. However, most computer engineers, control engineers, and many others involved in behavior modeling and programming still rely on True/False conditions. differential equations. Many people have tried to adjust classical logic to accept a broader conception of what is true or false. In the early 1900s, Lukasiewicz presented his three-value logic, where the third value proposed could be described as "possible" and had a numerical value between True and False [2]. His efforts were followed by Knuth, but neither notion gained widespread acceptance. It was not until 1965 that Lotfi Zadeh published his work on fuzzy sets and the mathematics that accompany them. The theory was quickly...... middle of article ......trol, Peter Bauer, Stephan Nouak, Roman Winkler, 1996, (http://www.flll.uni-linz.ac. at/fuzzy /fuzzy.html)References: Fuzzy Logic Research and Life, Japan Center for Technology Evaluation, 1995, (http://itri.loyola.edu/kb/c5_s4.htm)Two responses to the article by Elkan, Enrique Ruspini, 1993, (http://www-cgi.cs.cmu.edu/afs/cs/project/ai-repository/ai/areas/fuzzy/doc/elkan/response.txt) Introduction to fuzzy logic - A brief introduction to fuzzy logic, Togai InfraLogic Inc., 1992, (http://www-cgi.cs.cmu.edu/afs/cs/project/ai-repository/ai/areas/fuzzy/ doc/intro/primer.tgz)The Seven Noble Truths of Fuzzy Logic, Earl Cox, 1992, (http://freeware.aus.sps.mot.com/freeweb/pub/fuzzy/news5.txt) Creating a fuzzy expert system, William Siler, http://members.aol.com/wsiler/index.html)Future Logic, Earl Cox, http://darwin1.ucsd.edu:8000/connect/articles/success/logic. html)