Information Technology Reference
In-Depth Information
This fuzzy model of a natural language, treating
the conversion of the definition tool of the
logic by Zadeh, gets the following form:
1.
Fuzzy set may have an end or may be endless; as a part of speech it has an end, but as a
vocabulary of a language it is endless. Х = (х1, х2... - х10)
2.
Fuzzy set A may be characterized by a set of pairs (composition according to the logic
by Piaget): А= Е
х
For example:
х3- х1
--один мальчик (one boy) ,
х2- х1 --
высокий мальчик (a tall boy) ; х1-
х4 мой друг (my firend), etc.
3.
Fuzzy set A may be presented in the following form:
(We present the noun in the form of А =
0,1 - игра (game): 0,1+ 0,2-сильная игра (a strong
game); 0,1+
0,3;-
одна игра (a game); 0,1+ 0,4;- моя игра (my game); etc.
4.
The operation of unification
Unification of two fuzzy sets
A
and
B
will be specified as the following: if
А
-
1-is a noun
, and
В - 2 is an adjective
, then the function of property у
1
and у
2
belongs to
А
and
В.
Based on the abovementioned conversion, the sentence: ”На улице стоял сильный мороз” (There
was heavy snow on the street) will be indicated as signs like the followings:
х7- х1у2 у3/6 - х5у2у5-х2у1у2у3 - х1у1у2у3.
If we present this sentence in a coordinate plane, this sentence graphically may be indicated as spots
in that coordinate plane:
х7- х1у2 у3/6 - х5у2у5-х2у1у2у3 - х1у1у2у3.
