# Fuzzy Logic

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## Fuzzy Logic

A system which mathematically models complex relationships which are usually handled in a vague manner by language. Under the title of "Fuzzy Logic" falls formal fuzzy logic (a multi-valued form of logic), and fuzzy sets. Fuzzy sets measure the similarity between an object and a group of objects. A member of a fuzzy set can belong to both the set, and its complement. Fuzzy sets can more closely approximate human reasoning than traditional "crisp" sets. See: Crisp sets.

## Fuzzy Logic

A form of logic programmed into some computers to allow them to use probability. That is, fuzzy logic allows computers to deal with uncertainty and to make decisions based on the information available. Unlike pure logic, which requires certainty, fuzzy logic helps computers make decisions the way humans do, only faster. This can be important in some investment strategies, such as arbitrage, that require decisions to be made very quickly.
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There are several signs that fuzzy logic makes sense.
The problem can be solved by applying fuzzy logic (Ross,2004).
To evaluate the ability of proposed algorithm to control traffic effectively in real-time at an isolated intersection, its performance is compared against the performance of a fixed-time signal operation and against fuzzy logic control.
The main benefit of applying fuzzy logic is that it can help to predict an outcome based on an input.
Combining the learning abilities of the artificial neural networks and fuzzy logic, neuro fuzzy approaches have emerged.
Fuzzy logic can handle imprecise input, but makes precise decisions and has wide industrial applications from air conditioning to anti-lock break systems in cars, using predefined rules.
Although there is limited use of fuzzy logic approach in scheduling field, some of the results are promising and fruitful [1] [13].
Elkan's critics devoted considerable energy to the controversy because they saw in the proof a possible threat to funding of projects in fuzzy logic.
Fuzzy logic accepts the "gray areas" in between the black and the white; "the world is expressed through shades of gray": "The world we inhabit, plan in, try to control and understand, can seldom be matched by crisp statements.
Models TEC-4300, TEC-8300, TEC-9300 and TEC-2500 feature universal sensor input, fast sample rate, fuzzy logic PID autotuning control, 2-4 independently programmable outputs/alarms, universal power input, heater break alarm, bumpless transfer to manual mode, analog retransmission and NEMA 4X/IP65 front faces.
Our original manuscript included a comprehensive case study that contrasted the classical system of assessing materiality with the fuzzy logic approach.

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