  The critical indices \alpha', \beta, \gamma' and \delta of the Quark Gluon
Bags with Surface Tension Model with the tricritical endpoint are calculated as
functions of the usual parameters of this model and two newly introduces
parameters (indices). They are compared with the critical exponents of other
models. It is shown that for the newly introduced indices \chi = 0 and \xi^T <
1 there is a branch of solutions for which the critical exponents of the
present model and the statistical multifragmentation model coincide, otherwise
these models belong to different universality classes. It is shown that for
realistic values of the parameter \varkappa the critical exponents \alpha',
\beta, \gamma' and \delta of simple liquids and 3-dimensional Ising model can
be only described by the branch of solutions in which all indices except for
\alpha' correspond to their values within the statistical multifragmentation
model. The scaling relations for the found critical exponents are verified and
it is demonstrated that for the standard definition of the index \alpha' the
Fisher and Griffiths scaling inequalities are not fulfilled for some values of
the model parameters, whereas the Liberman scaling inequality is always obeyed.
Although it is shown that the specially defined index \alpha'_s recovers the
scaling relations, another possibility, an existence of the non-Fisher
universality classes, is also discussed.
