RU1774330C - Nondistinct number generator - Google Patents

Abstract

The invention relates to computing. The purpose of the invention is to expand the functionality by generating fuzzy numbers. The device contains delay elements 8-10, algebraic adder 12, nodes 3, 11 for calculating the right boundary element of the fuzzy set, node 7 for calculating the left boundary element of the fuzzy set, clock generator 1, sensor 2 evenly distributed random numbers, subtractor 4, multiplier B. adder 6, block 13 delay. 2 ill.

Description

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The invention relates to the generation of random and fuzzy numbers, can be used to generate fuzzy numbers B, which are fuzzy with fuzzy number A, and is an improvement of the known device according to a, c. No. 1688243.

The aim of the invention is to expand the functionality by forming possible values of fuzzy numbers B, which are in a fuzzy ratio of R to a fuzzy number A with a known membership function / gd (a) with a known membership function JUR (g) that displays the statement slightly more (less) .

In FIG. 1 is an electrical structural diagram of a generator; in FIG. 2 is an explanatory diagram.

The generator (Fig. 1) contains a clock generator 1, a sensor 2 of uniformly distributed random numbers, a node 3 for calculating the right boundary element of the fuzzy set, made in the form of a memory block, a subtractor 4, a multiplier 5, an adder 6, a node 7 for calculating the left a fuzzy set boundary element, made in the form of a read-only memory unit, delay elements 8, 9, 10, an additional node 11 for calculating the right fuzzy set boundary element, an algebraic adder 12, a delay unit 13.

The additional unit 11 is made in the form of a read-only memory block, the programming information of which is given below.

The generator operates as follows.

The pulses from the output of the GTI 1 are fed to the input of the polling of the sensor 2, for each of which the possible value xi of a random number X with a uniform distribution in the interval (0, 1) is generated at the output of the latter. At node 3, the right boundary element of the fuzzy set control is generated, and at node 7, the left boundary element of street is generated. For a symmetric membership function of the type of approximate equality

fiy (y) max {0, 1 -,

where a, a are the parameters of the position and range of the membership function, the point ul is determined from the condition

xi-1

and control point - from the condition

- 1 Control xi - i -Q

Then the node 7 is programmed based on the equality

Str a + a (xi - 1), and knot 3 - on the basis of the equality

In subtractor 4, the difference ypr - yl is formed.

which, after multiplying in multiplier 5 by hit and adding in adder b with the value Ul, is converted to the possible value of the fuzzy set at the ith step: yi (control - ul) XI-1 + ul.

The described processes are repeated for each GTI pulse 1. In this case, possible values of fuzzy numbers A are formed at each GTI operation cycle 1 at the output 5 of adder 6.

In addition, after a delay in the third delay element 10 for the GTI pulse repetition period t, a sample xi-2 is generated, which is fed to the input of node 11, made in the form of a ROM, which is programmed at the ratio

Ayi yi + ffr (-Xj-2 + 1),

where Or is the range of the membership function JUR (g) (Fig. 2)

5 The correction Ayi is formed taking into account the fact that the position parameter R (r) is set by the value yi, i.e., the current value of the fuzzy number A. The correction Ays is added to the algebraic adder 12 with a delay in block 13 for the duration of transients in the additional node b & the beginning of yi, as a result of which the output signal of the generator is finally formed, which corresponds to the current possible value of the fuzzy number B. Moreover, for approval, the algebraic adder 12 operates in the summation mode for a bit more

bi yi + Ayi,

0, and for the statement, it is slightly less in the subtract mode bi yi- Ayi.

Claims (1)

SUMMARY OF THE INVENTION N ° 5 1688243, which consists in the fact that, in order to expand the functionality by forming numbers that are in a fuzzy relation defined by the membership function, it is supplemented with the third delay element has been introduced a delay unit, an algebraic adder, an additional node for calculating the right boundary element of a fuzzy set, made in the form of a third memory block, the first address input of which through the third delay element is connected to the output of the second delay element, and the second address input and output are connected respectively, with the output of the adder and the first input of the algebraic adder, the output of which is the output of the device, and the second input through the delay unit is connected to the output of the adder.  LHL / /