Pages: 46-68
Published: 30.07.2025
Abstract: The parameters introduced into the model are a "real" matrix with C55 independently modeled "weights" for z–, y-variables characterizing the z-,y-factors of the functional state of the labor subject. For each given meaning of the y-factor (with the number j) and 5 values of the “weights” (from the vector с.j=(c1j,c2j,c3j,c4j,c5j)T) for 5 z-variables z1,z2,z3,z4,z5 (c21j+c22j+c23jc24j+c25j?1), m random numbers are matched yij=ui1*sqrt(?1)*c1j+ui2* sqrt(?2)*c2j+ ui3*sqrt(?3)*c3j+ui4*sqrt(?4)*c4j+ui5*sqrt(?5)*c5j, modeled in the i-th time interval. Each given meaning of the z-factor with the number k and the vector сk.=(ck1,ck2,ck3,ck4,ck5) with 5 values of “weights" for the y-variables y1,y2,y3,y4,y5 (c2k1+c2k2+c2k3+c2k4+c2k5=1) are aligned m numbers zik=yi1*ck1+yi2*ck2+zi3*ck3+yi4*ck4+yi5*ck5, calculated in the i-th time interval, i=1,...,m. Each of the 5 values of the "weights" c1j,c2j,c3j,c4j,c5j is equal to the value of the correlation coefficient c1j=corr(z1,yj), c2j=corr(z2,yj), c3j=corr(z3,yj), c4j=corr(z4,yj), c5j=corr(z5,yj). The value of the components c1j,c2j,c3j,c4j,c5j of the vector c.j is equal to the strength of the manifestation of uj*sqrt(?j)-the variable included in the formula of the j-th y–variable yij=ui1*sqrt(?1)*c1j+ui2*sqrt(?2)*c2j+ui3*sqrt(?3)*c3j+ ui4*sqrt(?4)*c4j+ui5*sqrt(?5)*c5j, randomly modeled in the i-th time interval. The value of the components ck1,ck2,ck3,ck4,ck5 of the vector sk. It is equal to the strength of the manifestation of the y-variable included in the formula of the j-th z–variable zik=yi1*ck1+yi2*ck2+zi3*ck3+yi4*ck4+yi5*ck5, calculated (from the "real" data from the C55 matrix) in the i–th time interval. The construction of solutions to 2 systems of semantic equations corresponding to the given numerical equalities was carried out taking into account the types of variables (the calculated one subordinates the model one). This subordination allowed AI to apply compound and compound sentences in the construction of phrases of meanings in the process of finding semantic solutions to 2 systems of semantic equations from the matrix equalities meaning(Zm5=Ym5*CТ55), meaning(Ym5=Zm5*C55), and text "tables of meanings" of the following types were obtained [meaning(Zm5=Ym5*CТ55)], [meaning(Ym5=Zm5*C55)]. In this article, for the first time, new meanings are constructed from "tables of meanings" of the form [meaning(Zm5=Ym5*CТ55)], i.e. the meanings (related to reality) of correlated z–variables (z1, z2,z3, z4, z5), knowing the meanings of model random uncorrelated y-variables (y1, y2, y3, y4, y5), taking into account their weight values. Visualization of the dynamics of sets of different numbers of z-,y-variability “weights" confirmed their adequacy to the desired.
Key words: colloquial language of artificial intelligence, a system of semantic equations with semantic variables, factors of the functional state of the labor subject.
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