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Measurable multiattribute value functions defined on binary attributes
Authors:Stuart Jay Deutsch  Charles J. Malmborg
Affiliation:School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA 30332, U.S.A.;Department of Industrial Engineering and Operations Research, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, U.S.A.
Abstract:A set of preference independence conditions is defined with respect to a binary attribute set. It is argued that these conditions can be used to show that a value function describing the preference for alternatives over binary attributes has an additive form. This argument emphasizes that strengthened independence concepts are necessary in the binary attribute case since solvability axioms cannot be defined to allow an algebraic proof of additivity based on the independence conditions of an additive conjoint structure.
Keywords:Decision theory  measurement  multiattribute  preference function  performance
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