One-dimensional analytical geometry allows you to visualize the output function expanded in a mathematical series with changing signs of input variables and output in fine or fuzzy multidimensional system of coordinates in absolute units:    n j j j F w x 0 0 0 where wj – weighting positive coefficients; Х0 = (х0 0 х0 1 х0 2 … х0 j … x0 n) – the vector of the input positive or negative variables; x0 j – input variables in absolute units; j = 0 1 2 . . . n – ordinal numbers. Limit values (in general – with different signs) of the input variables x0 j = – x0min j.. . +x0max j and of the target function F0 = - F0min… +F0max are determined by the expert and refined in the analysis process. The output function in absolute units F0 first turns into a function in relative units / ( ) 0 0 0 0 j j j j n j m n xj j xj j m xj j j j m m w x F X X x F X m w F F F          where Fm – the maximum value of the modulus of the target function F0 equal to one of its limit values; Xxj – the maximum possible value of the modulus of the variable x0 j equal to one of its limit values; хj = х0 j / Ххj – a variable in relative units; λj = 0 7…1 3 – artificially introduced by the expert coefficient which in the theory of fuzzy logic take into account influence of indistinct (fuzzy) universe and fuzzy sets on the variables хj and on output F; mj = 0 7…1 3 – artificially introduced by the expert coefficient which take into account influence of received information’s quality on the clear or fuzzy variables хj and on output F and then the goal function F is transformed for visualization into the arithmetic mean of the weighted data with changing signs according to the formula:         n j j j j j m xj n j j j C m w x F A w F 0 0 ( ) 1... 1. 1   All calculations for the fuzzy systems are made only on a numerical basis: the conversion of numerical values into linguistic with a degree of certainty is an exception and is performed only at the expert’s request to refine the research results. The analysis considered makes it possible to visualize only simple geometric images of a multidimensional space (point; positive negative and positive – negative segments) but it covers a fairly wide class of problems whose solutions are required by practice