Abstract
We establish an iterative algorithm to generate for any given reciprocal relation and any given type of transitivity fitting into the framework of cycle-transitivity, a unique reciprocal relation that approximates the given reciprocal relation and possesses the given transitivity property. In the context of decision making, the algorithm can be used to generate a consistent approximation of a non-consistent reciprocal preference relation.
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Freson, S., De Meyer, H., De Baets, B. (2010). An Algorithm for Generating Consistent and Transitive Approximations of Reciprocal Preference Relations. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Computational Intelligence for Knowledge-Based Systems Design. IPMU 2010. Lecture Notes in Computer Science(), vol 6178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14049-5_58
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DOI: https://doi.org/10.1007/978-3-642-14049-5_58
Publisher Name: Springer, Berlin, Heidelberg
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