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Fuzzy Logic and Fuzzy Sets

108_FuzzyLogic.ppt (Size: 1.39 MB / Downloads: 143)

History

Lotfi Zadeh, at the University of California at Berkeley, first presented fuzzy logic in the mid-1960's.

Zadeh developed fuzzy logic as a way of processing data. Instead of requiring a data element to be either a member or non-member of a set, he introduced the idea of partial set membership.

In 1974 Mamdani and Assilian used fuzzy logic to regulate a steam engine.

In 1985 researchers at Bell laboratories developed the first fuzzy logic chip.

WHAT IS FUZZY LOGIC?

Definition of fuzzy

Fuzzy – “not clear, distinct, or precise; blurred”

Definition of fuzzy logic

A form of knowledge representation suitable for notions that cannot be defined precisely, but which depend upon their contexts.

Misconceptions and Controversies

Fuzzy logic is same as “imprecise logic

Fuzzy logic is a new way of expressing probability.

Fuzzy logic will be difficult to scale to larger problems.

Where is Fuzzy Logic used?

Fuzzy logic is used directly in very few applications.

Most applications of fuzzy logic use it as the underlying logic system for decision support systems.

Fuzzy System Applications

Cement Kiln - first expert system to use fuzzy logic

Sendai Subway - most celebrated fuzzy logic system

Bullet train between Tokyo and Osaka