SU1688242A2 - Random numbers generator - Google Patents

Abstract

The invention relates to computing. The purpose of the invention is the extension of functionality due to the generation of odd numbers with asymmetric membership functions. The generator contains a generator of 1 clock pulses, a sensor 2 of uniformly distributed random numbers, a multiplier 3, a subtractor 5, a block 7 for calculating the values of the membership function, a circuit 8, 13 comparison, element E, keys 10,, 17, elements 11, 12 of delay , the nodes of the calculation of the membership function for the left 18 and right 15 half-ranges of values, made in the form of elements of the permanent memory, the node 6 of the elements OR. 2 Il.

Description

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The invention relates to computing, can be used to generate fuzzy numbers with an asymmetric membership function, and is an improvement on a known device according to the author. N 1605230.

The purpose of the invention is to expand the functionality by generating fuzzy numbers with asymmetric membership functions such as approximate equality.

Fig „1 shows a block diagram of a random number generator; on league. 2 - view of the asymmetric membership function.

The generator (Fig. 1) contains the generator 1 clock pulses sensor 2 evenly distributed random numbers, multiplier 3, input 4 sets the span of the membership function, subtractor 5, input 6 assigns the right boundary point of the membership function, block 7 calculates the membership function values, 8 , element 9, key 10, delay elements 11 and 12, element 13 comparison, key, node 15 for calculating the membership function for the right half-span of values, made as a permanent memory element, node 16 for elements OR, key 17, node 18 ychisleni membership function values for the left semispan configured as an element fixed memory.

The random number generator works as follows.

The generator 1 generates a sequence of pulses. The next i-th pulse arrives at the polling input of the sensor 2, the output of which produces the next possible value of the random number x; with a uniform distribution in the interval (0,1). R of the multiplier 3, it is multiplied by the frames. Membership functions Gp GA + Gnp GLS7A, - left and right half-span of the membership function. The resulting product is subtracted in the evaluator 5 from the right edge of the membership function. As a result, a random point is formed with the coordinates Y; a + (jnp-x; (O pr + (7l), where a is the position parameter of the membership radiation. In block 7, the value of the membership function is formed

RF;

This is done as follows:

In element 13, the value of y is compared with the value of a. When the first key is opened, with the second key 17. When opening the first key, the value of y; enters node 15, in which the value of the function is computed as belonging to | t | v (y;) according to the following formula:

(Mu (y;)

U, - and

0

When opening the second key 17, the value of y; enters node 18, in which / UY (y.) is calculated by the formula

0 CC (At;) 1 I 1b pr

In this case, it is assumed that always, and when a zero signal arrives at the inputs of nodes 15 and 1B

e, zero signals are generated at their outputs.

In accordance with the indicated algorithm of operation of block 7, the corresponding value 1 (y,} is formed at its output, which is compared with the value x;,

With LLu (y,) 4 at the output of the comparison circuit 8, the level of the logical unit is formed, which is fed to the input of the element I. To the other input of the element I And through the second delay element 12 a pulse is received from the generator 1. As a result, the output value of the key 10 forms the possible value fuzzy number formed

0 in the i-th cycle of the device on

output of the subtractor 5. If ((,) x,

then the key output signal HR is not generated.

These processes are repeated 5 periodically. As a result, the output of the key 10 forms numbers belonging to a fuzzy set with the function

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Claims (1)

Invention Formula Q Random number generator by author. St. f 1605230, characterized in that, in order to expand its functionality by generating fuzzy numbers with unbalanced membership functions, the unit for calculating the membership function contains the unit for calculating the membership functions for the right half of the size five made as the first element of the fixed memory, the node for calculating the membership function for the left half-span of values, made as the second element of the constant memory, the comparison element, two terminals, the element node OR, the first input of the comparison element being connected to the information inputs of the first and the second key is the information input of the block, the second input of the comparison element is the input of the position parameter setting JUy (y) 882426 the carrier of the generator membership function, the Outputs More and Less than or equal to the comparison element are connected to the control inputs of the first and second keys, respectively; the output of the first key is connected to the first input of the node elements OR, the output of the second key through the first constant memory element The second constant memory element is connected to the second input of the node of the OR elements, the output of which is the output of the block. & L & Pr 2 Have