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Crisp :

- Binary logic

- It may be occur or non occur
- indicator function

Fuzzy logic

- Continuous valued logic
- membership function
- Consider about degree of membership

Q: Difference between crisp logic and fuzzy logic?

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The difference between probability and fuzzy logic is clear when we consider the underlying concept that each attempts to model. Probability is concerned with the undecidability in the outcome of clearly defined and randomly occurring events, while fuzzy logic is concerned with the ambiguity or undecidability inherent in the description of the event itself. Fuzziness is often expressed as ambiguity rather than imprecision or uncertainty and remains a characteristic of perception as well as concept.

Certainly fuzzy logic is not the best in solving uncertainty, but..... it is on of the best alternatives to that exists to model uncertainty.

This theorem tells, roughly, that any mathematical system can be approximated by fuzzy logic. Hopefully this page http://sipi.usc.edu/~kosko/ helps more.

Boolean Algebra is the study of the algebra of logic whilst Mathematical logic is a way of applying Boolean algebra. Other applications include set theory, digital logic and probability.

A mathematical technique for dealing with imprecise data and problems that have many solutions rather than one. Although it is implemented in digital computers which ultimately make only yes-no decisions, fuzzy logic works with ranges of values, solving problems in a way that more resembles human logic. Fuzzy logic is used for solving problems with expert systems and real-time systems that must react to an imperfect environment of highly variable, volatile or unpredictable conditions. It "smoothes the edges" so to speak, circumventing abrupt changes in operation that could result from relying on traditional either-or and all-or-nothing logic.

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nonlinear or irregular input

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The difference between probability and fuzzy logic is clear when we consider the underlying concept that each attempts to model. Probability is concerned with the undecidability in the outcome of clearly defined and randomly occurring events, while fuzzy logic is concerned with the ambiguity or undecidability inherent in the description of the event itself. Fuzziness is often expressed as ambiguity rather than imprecision or uncertainty and remains a characteristic of perception as well as concept.

fuzzy logic is a logic which we have to implement in c language

Fuzzy Logic EP was created in 1992.

Fuzzy Door Productions was created in 1996.

Fuzzy Logic - album - was created on 1996-05-20.

I don't agree that fuzzy logic is the best approach to uncertainty

The cast of Fuzzy Logic - 1998 includes: Carlos Bertoli

How can you describe the cup contains 500 millimeters as fuzzy logic?

It would probably be an algorithm using fuzzy logic.Traditional logic has only two possible outcomes, true or false. Fuzzy logic instead uses a graded scale with many intermediate values, like a number between 0.0 and 1.0. (Similar to what probability theory does.)A fuzzy algorithm would then use fuzzy logic to operate on inputs and give a result. Applications include control logic (controlling engine speed, for instance, where it can be handy to have some intermediate values between "full speed" and "full stop") and edge detection in images.See related link.

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