Canonical Multiattribute Utility Functions: Enumeration, Verification, and Application | Zendy

Yerkin G. Abdildin | Zendy; Ali E. Abbas | Zendy

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Canonical Multiattribute Utility Functions: Enumeration, Verification, and Application

Author(s) -

Yerkin G. Abdildin,

Ali E. Abbas

Publication year - 2013

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2013.05.400

Subject(s) - computer science , independence (probability theory) , function (biology) , enumeration , mathematical optimization , expected utility hypothesis , canonical form , operations research , mathematical economics , mathematics , statistics , discrete mathematics , evolutionary biology , pure mathematics , biology

In decisions with uncertainty and multiple objectives, the construction of a representative multiattribute utility function (MUF) is of paramount importance. When the attributes of a decision problem exhibit some forms of utility independence, the functional form is significantly simplified. When the complete utility independence conditions do not exist, it is still possible to simplify the functional form. An important special case in this instance is known as canonical form. This paper characterizes the number of canonical forms in a multiattribute decision problem and conducts experiments to determine their applicability in a borehole restoration problem in the uranium extraction industry

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