  Dusty plasma can exist in a wide range, from the laboratory to Saturn's
rings. The coupling parameter plays a very important role in diagnosing dusty
plasma. There are two ways to deal analytically with the effect of coupling in
plasma. First, where the coupling parameter is represented with the help of
viscoelastic relaxation time, and the second where the electrostatic
temperature represents the coupling parameters, in this work, we have used both
techniques in a strongly coupled four-component plasma in which we have
considered the dynamics of negatively charged dust grains and q- nonextensive
distribution for electrons, ions, and positrons. The main focus of this
particular work is to find out the operational regions and validity of these
two techniques. The result of this paper will give future researchers an idea
of how coupling would be encountered in a dusty plasma system.
