Fuzzy Logic

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Fuzzy Logic

"So far as the laws of mathematics refer to reality, they are not certain. And so far as they are certain, they do not refer to reality." -Albert Einstein, Geometry and Experience

“It’s funny how when we’re the recipients of pain we’re clear that it’s black and white. But when we’ve got something to gain there are shades of gray.” – Dr. Laura Schlessinger

Fuzz adds extreme choices of black and white, between shades of gray. Claim ness is given with fuzz; it does not make us choose. Fuzzy logic is a superset of conventional (Boolean) logic that has been extended to handle the concept of partial truth -- truth values between "completely true" and "completely false". It is also reasoning with vague concepts. There is a new math behind fuzzy logic and it took many years to find it. With this logic there is a goal, the goal is to get computers to work out just the round off black and white concepts.

The Fuzzy Theory- A branch of logic designed specifically for representing knowledge and human reasoning in such a way that it amenable to process by computers, Thus fuzzy theory is applicable to *experts systems knowledge of engineering and * artificial intelligence. The fuzzy theory is concerned with the stud of *sets and * predications of this kind. There emerge such concepts as fuzzy sets, fuzzy relationships, and fuzzy quantifiers.[1] “There are certain rules and theorems that the fundamental concepts of a binary systems which are known as Boolean algebra. The understanding of Boolean algebra is considered very vital because its applications directly lead to the techniques that are essential in designing efficient digital systems. Boolean algebra serves as the basis for moving form verbal descriptions of the functions of the desired digital device to an unambiguous mathematical description.”[2] We shouldn’t regard the fuzzy theory as a single theory, rather the process “justification” as a methodology to generalize any specific theory from a crisp (discrete) to a continuous (fuzzy) form. Thus recently researchers have also introduced "fuzzy calculus", "fuzzy differential equations", and so on. We us binary numbers to represent the mathematical and logical operations that circuits perform. These Binary numbers allow us to represent everything as two states.

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