The adjective fuzzy comes from the Latin diffussus, which means vague, imprecise or unclear. On the other hand, the term logic comes from the Greek logiké, which derives from logos and is equivalent to reason, argument or idea. Logic is the philosophical discipline that studies the truth or falsity of arguments.
The name fuzzy logic comes from the English fuzzy logic and was coined in the 1960s by the Iranian mathematician and computer scientist Lotfi A. Zadeh. This is not a purely theoretical formulation, as currently some technologies are programmed with flexible or imprecise criteria and, at the same time, logical.
What does it consist of?
Logic as a philosophical discipline goes back to Aristotle, who established its fundamental principles and rules. In this type of reasoning there are two possible truth values, as a statement can be true or false. It is worth remembering that in everyday life we deal with conventional criteria of traditional logic . Fuzzy Logic
In fuzzy logic, a new proposal is presented: in place of the classic option that distinguishes true from false, there is the possibility that a statement is partially true or false.
An example of fuzzy set theory
When we want to establish a classification of tall and short people, we can employ an objective reference (for example, 1.70 cm would be the boundary that differentiates certain people from others). Thus, those who surpass this height are classified as tall, whereas those who are not part of this group are considered short. Under this approach, an individual can belong to one class or another.
In fuzzy logic, another type of strategy is presented: instead of establishing a limit of differentiation, a more flexible criterion is introduced. Thus, following the example of height, all individuals would somehow belong to the set of lows and highs at the same time. Fuzzy Logic
If the membership of a group is established with values from 0 to 1, this means that 0 means a low membership and 1 implies a high index. Thus, the tallest person in a group (eg, 1.98 cm) would have a very low adherence to the short set. In short , the same individual can belong to two different classes. This ambivalence does not exist in the classical formulation of sets.
Several areas of knowledge incorporated patterns of fuzzy logic
In the human experience of everyday life, we use confusing or unclear criteria, as many circumstances and facts have an ambiguous dimension (for example, clothing is not dry or wet, but it can be a little dry or a little wet). The principles of fuzzy logic were applied in several areas and activities: in artificial intelligence , computing and task automation. It is interesting to note that some Japanese technology washing machines employ one wash cycle or another depending on the size of the garment or the amount of dirt. Fuzzy Logic