scholarly journals General decompositions of multiattribute utility functions with partial utility independence

2010 ◽  
Vol 17 (1-2) ◽  
pp. 37-59 ◽  
Author(s):  
Ali E. Abbas
Keyword(s):  
Utility Functions ◽  
Multiattribute Utility ◽  
Utility Independence

scholarly journals CUI Networks: A Graphical Representation for Conditional Utility Independence

2008 ◽  
Vol 31 ◽  
pp. 83-112 ◽  
Author(s):  
Y. Engel ◽  
M. P. Wellman
Keyword(s):  
Graphical Representation ◽  
Utility Functions ◽  
Multiattribute Utility ◽  
Preference Modeling ◽  
Network Construction ◽  
Functional Decomposition ◽  
Multiple Attributes ◽  
Utility Independence ◽  
Conditional Utility ◽  
Graph Nodes

We introduce CUI networks, a compact graphical representation of utility functions over multiple attributes. CUI networks model multiattribute utility functions using the well-studied and widely applicable utility independence concept. We show how conditional utility independence leads to an effective functional decomposition that can be exhibited graphically, and how local, compact data at the graph nodes can be used to calculate joint utility. We discuss aspects of elicitation, network construction, and optimization, and contrast our new representation with previous graphical preference modeling.

A class of multiattribute utility functions

2007 ◽  
Vol 34 (3) ◽  
pp. 591-602 ◽  
Author(s):  
András Prékopa ◽  
Gergely Mádi-Nagy
Keyword(s):  
Utility Functions ◽  
Multiattribute Utility

CHOQUET INTEGRAL MODELS AND INDEPENDENCE CONCEPTS IN MULTIATTRIBUTE UTILITY THEORY

2000 ◽  
Vol 08 (04) ◽  
pp. 385-415 ◽  
Author(s):  
T. MUROFUSHI ◽  
M. SUGENO
Keyword(s):  
Utility Function ◽  
Utility Theory ◽  
Choquet Integral ◽  
Fuzzy Measure ◽  
Multiattribute Utility ◽  
Preference Relations ◽  
Multiattribute Utility Theory ◽  
A Value ◽  
Utility Independence

This paper discusses multiattribute preference relations compatible with a value/utility function represented by the Choquet integral with respect to a fuzzy measure, and shows that the additivity of the fuzzy measure is equivalent to each of mutual preferential independence, mutual weak difference independence, mutual difference independence, mutual utility independence, and additive independence.

METHODS—One-Switch Conditions for Multiattribute Utility Functions

2012 ◽  
Vol 60 (5) ◽  
pp. 1199-1212 ◽  
Author(s):  
Ali E. Abbas ◽  
David E. Bell
Keyword(s):  
Utility Functions ◽  
Multiattribute Utility
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