Generalizations of Maximum entropy principle(MEP) and min- imum discrimination information principle (MDIP)are described by Kapur and Kesavan(1989). In this paper we used generalized entropies and replaced Shannon entropy with Tsallis entropy when  = 2. The generalization has been achieved by the entropy maximization postulate and examining its con- sequences. The inverse principles which are inherent in the maximum  en- tropy and minimum discrimination  entropy are made in the new methodol- ogy. An example is given to illustrate the power and scope of the generalized maximum  entropy that follows from the entropy maximization postulate.

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