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Description
(Text)
One of the main objectives of science and engineering is to help people select the most beneficial decisions. To make these decisions, we must know people's preferences, and we must have information about different possible consequences of the decisions. Since information is never absolutely accurate and precise, we must also have information about the degree of certainty of every piece of information. All these types of information naturally lead to partial orders: for preferences, a < b means that b is preferable to a. This relation is used in decision theory. For events, a < b means that a can influence b. This causality relation is one of the fundamental notions of physics, especially of physics of space-time. For uncertain statements, a < b means that a is less certain than b. This relation is used in logics describing uncertainty, such as fuzzy logic. This research has revealed that some ideas are common in all three applications of partial orders. In this book, we analyze general properties, operations, and algorithms related to partial orders for representing uncertainty, causality, and decision making, with a special emphasis on uncertainty.
(Author portrait)
Francisco Zapata received his PhD in Computer Science from the University of Texas at El Paso, where he works as a Research Assistant Professor. His research efforts are aimed at applying uncertainty management techniques, fuzzy logic, interval computations, and combinatorial optimization to the problem of engineering systems.
