Recently, the estimation problem of upper and lower bounds of the solution set of the tensor complementarity problem has been studied when the tensor involved is a strictly semi-positive tensor or one of its subclasses. This paper aims to study such an estimation problem in a larger scope. First, we propose a lower bound formula under the condition that the tensor complementarity problem has a solution. When the problem under consideration falls back to several types of problems that have been studied, the achieved result improves the relevant known results. Second, by means of a newly introduced quantity, we give an upper bound formula of the solution set when the problem has a solution and the tensor involved is an \(R_0\)-tensor. This formula is new even when the concerned problem falls back to several problems that have already been discussed. Several examples are also given to confirm our theoretical findings.

最近，研究了当所涉及的张量是严格的半正张量或其子类之一时，张量互补问题解集的上下限估计问题。本文旨在在更大范围内研究此类估计问题。首先，在张量互补问题具有解的条件下，提出下界公式。当所考虑的问题退回到已研究的几种类型的问题时，所获得的结果将改善相关的已知结果。其次，借助新引入的数量，当问题有解且所涉及的张量为\（R_0 \）时，我们给出解集的上限公式-张量。即使当相关问题退回到已经讨论过的几个问题时，该公式也是新的。还给出了一些例子来证实我们的理论发现。