Abstract:The theory of ordered sets has its origins in logic, set theory, and algebra, particularly the study of lattices. The main questions studied and methods used in investigations of orders draw from these areas and have a clear combinatorial aspect. The theory is closely linked to graph theory, universal algebra and multiple-valued logic. It has applications to both classical topics ranging from set theory to formal calculus and to applied areas such as decision science, social networks, e-learning systems, secur… Show more
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