What is Fuzzy logic and how does it help washing machines?
Answer:
*Fuzzy logic is derived from fuzzy set theory dealing with reasoning that is approximate rather than precisely deduced from classical predicate logic. It can be thought of as the application side of fuzzy set theory dealing with well thought out real world expert values for a complex problem (Klir 1997).
Degrees of truth are often confused with probabilities. However, they are conceptually distinct; fuzzy truth represents membership in vaguely defined sets, not likelihood of some event or condition. For example, if a 100ml glass contains 30ml of water, then, for two fuzzy sets, Empty and Full, one would probably define the glass as being 70% empty and 30% full. Note that the concept of emptiness would be subjective and thus would depend on the observer or designer. Another designer might equally well design a set membership function where the glass would be considered full for all values down to 50ml. A probabilistic setting would firstly define a scalar variable for the fullness of the glass, and secondly conditional distributions describing the probability that someone would call the glass full given a specific fullness level. Note that the conditioning can be achieved by having a specific observer that randomly selects the label for the glass, a distribution over deterministic observers, or both. While fuzzy logic avoids talking about randomness in this context, this simplification at the same time obscures what is exactly meant by the statement the 'glass is 30% full'.
http://en.wikipedia.org/wiki/fuzzy_logic...
*http://mathematica.ludibunda.ch/fuzzy-lo...
[These are only two aspects a fuzzy washing machine might take into account when washing. A real one would also check to see how much soap it needs, how much water to add, how fast and which direction it should spin, etc. If we wanted to graph every calculation a fuzzy machine makes, we would need a pretty complex hypercube. So we'll just limit ourselves to grease and dirt.
There has been a boom for fuzzy machines in the last two decades. This is not only because they can do things which we humans had to do ourselves until now, but also because they're much cheaper to build than normal binary machines. But the idea on which fuzzy logic is based, A can equal not-A, isn't as modern as the fuzzy machines we use today. ]
Fuzzy logic come into play whenever you have uncertainty. And that is in real life situations. It is derived from fuzzy sets.
Consider the example where you have to classify ages of persons as old and young. You definitely put 10 in the set young and 80 in the set old. But what about 40? It may be young to some, but old to the rest. Therefore the degree of membership of 40 to both sets are different. This degree is represented by a number between 0 and 1. Therefore, age 10 may get a number very close to 1 in the "Young" set and very close to 0 in the "Old" set.
Fuzzy login can be used in all real life situations. Can you be more precise about your washing machine question?
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