# What is Fuzzy Logic

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```					                What is Fuzzy Logic

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Defination:-Fuzzy Logic can be viewed as a super set of Boolean logic, as a
multi-valued logic. It adds degrees between the absolute truth and absolute
false to cover partial truth in between. In simple terms, fuzzy logic involves
classifying objects and functions into fuzzy sets which could be given
linguistic phrases. It is a form of reasoning that is neither exact, nor
absolutely inexact. For example, too hot, little slow, phrases which do not
give the idea of absolute, but a fuzzy estimate. While 33 degrees might be
warm enough for a person from the equator, someone from the arctic might
find the heat unbearable, or too hot. It is not possible to classify them into
strict sets with defined boundaries which leads to the idea of fuzziness.

It has basically evolved from predicate logic, though many forms called t-
norm fuzzy logics do exist in propositional logic too. It generally has an
object and a predicate. For example: in the sentence, “Plato is a man”,
‘Plato’ is the object, and “is a man” is the predicate. But an important point
about fuzzy logic is that it is deterministic and time-variant.Exact reasoning
or precise values is the extreme or limiting case of approximate
reasoning.Any system which works on logic can be fuzzified and everything
would be a matter of degrees.

Knowledge is a collection of fuzzy constraints on a group of variables.The
bivalent sets being mutually exclusive it is not possible to have membership
of more than one set. This leads to ambiguity in reasoning and perceptions
as common sense fails to register the hard line rule. The same
phenomenon when explained using fuzzy sets grants degrees of
membership in the subsets through a membership function. It can help
circumvent the rigorous mathematical modeling in system design.

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