中文摘要：

Tsallis 熵和不完全的熵被证明根据他们的形式通过可变代替除了一 nonextensive 因素 q 有相等的数学结构。然而，更多样地采用 Lagrange 方法，任何一个都不产出为许多物理系统被观察了的 q 指数的分布，这被判定。因而，在完全、不完全的概率正规化条件下面的二概括的熵被建议遇见试验性的观察。这二种 entropic 形式是 Lesche 马厩，它意味着两个与概率分发连续地变化工作并且身体上因此是有意义的。

英文摘要：

Tsallis entropy and incomplete entropy are proven to have equivalent mathematical structure except for one nonextensive factor q through variable replacements on the basis of their forms. However, employing the Lagrange multiplier method, it is judged that neither yields the q-exponential distributions that have been observed for many physical systems. Consequently, two generalized entropies under complete and incomplete probability normalization conditions are proposed to meet the experimental observations. These two entropic forms are Lesche stable, which means that both vary continuously with probability distribution functions and are thus physically meaningful.