Page 22 - Azerbaijan State University of Economics

Safwan Al Salaimeh, Eman Al Alreyati: Using of New Information Technology in the Creating of
Promotion Products

th
( ) − actual absolute values i characteristics of alternative x;

th
Kinx, kinl – the best or the worst value i characteristics on a variety of alternatives
on which the choice is made.

∝ - Nonlinearity parameter, determining the nonlinearity of the dependence of

utility value on criterion value [Safwan Al Salaimeh, Khaled Batiha, 2006; Safwan
Al Salaimeh, Amer Abu Zaher, 2011. Safwan Al Salaimeh, Pushkarev A.N., 2011]

After the structural identification on the parameters of the models are determined;
coefficient value ai and nonlinearity parameter αi. at the same time objective
approaches to assess the individuals references based on the result of fixed act of
th
choosing an alternative choosing an S alternative means, that its utility is superior
to the utility of any other alternative

( ) > ( ), = 1, ;

( ) > ( );

( ) = + + ⋯ + > + + ⋯ + = ( );

2 2
1 1

2 2

( 1 − ) + ( − ) + ⋯ + ( − ) < 0

2
2
2 2
1
2
{ ⋮
− 1

1

( − ) = ; ;
1
1
2

Then the identification model can be represented in the following form;

∑ < 0; = 1, ;
=1

∑ = 0, = 1, ;
=1

0 ≤ ≤ 1; ∑ = 1; ∀ = 1, ;

=1

To determine the point estimate i.e specific numerical values of the coefficient ai, the
approach based on definition of a chypyshal point, it is called chypychal approximate point
and corresponds to the solution which in the great degree satisfies the given organ:

= ∈Ω ; where L – distance from any point x to constraint line; Ω – the
range of possible values of the coefficient ai [Safwan Al Salaimeh, Zafer Makadmeh,
Avramenko V.P. Shtangee S.V., 2012; Safwan Al Salaimeh, Mohammad Bani Younes,
2014; Safwan al Salaimeh, Zeyad Al Saraireh, Jawad Hammad Al Rawashdeh, 2015]

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