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Choices and kernels in bipolar valued digraphs
Institution:1. Department of Economics and Management, University of Brescia, Contrada S. Chiara 50, Brescia 25122, Italy;2. Department of Information Engineering, University of Brescia, Via Branze 38, Brescia 25123, Italy
Abstract:We explore the extension of the notion of kernel (independent, dominant or absorbent, non-empty subset) of a digraph to valued graphs (or valued relations). We define various natural extensions and show the relationship between them. This work has potential interest for applications in choice decision problems.
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