2005/03/08 by В. В. Розен, Victor V. Rozen, Rozen, Victor V. +2
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #Multi-Criteria Decision Making #Rough Sets and Fuzzy Logic #math.CT #math.GM #msc:08A70 #msc:18B10 #msc:91A05
paper · pdf · doi:10.48550/arxiv.math/0503151
26 pages
arxiv created 2005/03/08 · arxiv updated 2009/12/01
A structure called a decision making problem is considered. The set of outcomes (consequences) is partially ordered according to the decision maker's preferences. The problem is how these preferences affect a decision maker to prefer one of his strategies (or acts) to another, i.e. it is to describe so called derived preference relations. This problem is formalized by using category theory approach and reduced to a pure algebraical question. An effective method is suggested to build all reasonable derived preferences relations and to compare them with each other.