Abstract
The Cartesian product is the starting point for dealing with the concept of relation from a rigorous point of view. Various motivations and examples match the presentation of the theory and the applications. The chapter is mainly devoted to binary relations in a set, in particular the order relations and the equivalence relations are extensively developed from a theoretical and applicative point of view. Preference relations, related to orderings, and partitions are connected with applications.
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References
Buchanan, M.: Nexus: Small Worlds and the Groundbreaking Science of Networks. W. W. Norton & Co., New York and London (2002)
Fishburn, P.C.: Utility Theory for Decision Making. John Wiley & Sons, New York and London (1970)
Guare, J.: Six Degrees of Separation. Random House, New York (1990)
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Ventre, A.G.S. (2023). Relations. In: Calculus and Linear Algebra. Springer, Cham. https://doi.org/10.1007/978-3-031-20549-1_3
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DOI: https://doi.org/10.1007/978-3-031-20549-1_3
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