科研之友
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摘要
We consider linear systems of equations and inequalities with coefficients varying inside given intervals. We define their solutions (so-called AB solutions) and solvability (so-called AR solvability) by using forall exists quantification of interval parameters. We present an explicit description of the AE solutions, and discuss complexity issues as well. For AB solvability, we propose a sufficient condition only, but for a specific subclass of problems, a complete characterization is developed. Moreover, we investigate inequality systems for which AR solvability is equivalent to existence of an AE solution.
- 出版日期2015-1-15
