New article An Introduction to Fuzzy Logic has been published on mql5.com:
Fuzzy logic expands our boundaries of mathematical logic and set theory.
This article reveals the basic principles of fuzzy logic as well as
describes two fuzzy inference systems using Mamdani-type and Sugeno-type
models. The examples provided will describe implementation of fuzzy
models based on these two systems using the FuzzyNet library for MQL5.
The mathematical theory of fuzzy sets and fuzzy logic
itself originated back in 1965. Its founding father was a Professor
Lotfi Zadeh from the University of Berkeley, who first introduced both
concepts in his article "Fuzzy Sets" in the Information and Control
journal. This mathematical instrument allowed to introduce fuzzy
concepts, that anyone could use, to exact science like mathematics, and
laid the foundation for fundamentally new methods of problem solving on
the basis of soft computing.
All these innovations, when utilized properly, can greatly facilitate
the process of solving classification problems, creating expert systems
as well as building neural networks.
the practical application of fuzzy logic did not just stop there, in
fact, this mathematical instrument has become predominantly used in automatic control theory. This can be further linked to the emergence of another new concept — fuzzy model, which is a particular case of a mathematical model.
define a linguistic variable called "Age". By definition, "Age" is a
period, a step towards development and growth of a human, animal, plant.
The minimum value of this variable is 0, which means that a man is not
even a year old. As a maximum value 80 is set up. Depending on the
person's age we can give him the following assessment: "newborn",
"young", "middle-aged", "old", "senior" etc. This list can accommodate a
fairly large number of items. It will be a term set for our linguistic
variable and its elements will be terms.
figure below shows an example of the fuzzy variable "Age", which has
only three terms set up: "Young," "Middle-aged,","Old." Each of these
terms has its own membership function.
Author: MetaQuotes Software Corp.