Abstract
We begin with a simple observation that every usual optimization problem is determined by the following two components: a set of “feasible” solutions and a binary relation “better”. The set of all feasible solutions is, as a rule, given through a system of conditions as a subset of a larger set endowed with some structures. The relation better should make a consistent comparison of feasible solutions possible. As a minimal consistency condition we shall require that the relation in question is acyclic.
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Vlach, M. (1984). Closures and Neighbourhoods Induced by Tangential Approximations. In: Hammer, G., Pallaschke, D. (eds) Selected Topics in Operations Research and Mathematical Economics. Lecture Notes in Economics and Mathematical Systems, vol 226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45567-4_8
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DOI: https://doi.org/10.1007/978-3-642-45567-4_8
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