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Quantitative Pareto Analysis by Cone Separation Technique (Hardcover, 1994 ed.)
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Quantitative Pareto Analysis by Cone Separation Technique (Hardcover, 1994 ed.)
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This work results from my interest in the field of vector optimiza
tion. I stumbled first upon this subject in 1982 during my six
months visit to the Istituto di Elaborazione della Informazione in
Pisa, Italy, supported by a fellowship of the (Italian) Consiglio
Nationale delle Richerche. I was attracted then by a gap between
vector optimiza tion used to serve as a formal model for multiple
objective decision problems and the decision problems themselves,
the gap nonexis tent in scalar optimization. Roughly speaking,
vector optimization provides methods for ranking decisions
according to a partial order whereas decision making requires a
linear ordering of decisions. The book deals with vector
optimization. However, vector opti mization is considered here not
only as a topic of research in itself but also as a basic tool for
decision making. In consequence, all results presented here are
aimed at exploiting and understanding the structure of elements
(decisions) framed by a vector optimiza tion problem with the
underlying assumption that the results should be interpretable in
terms and applicable in the context of decision making.
Computational tractability of results is therefore of special
concern throughout this book. A unified framework for presentation
is offered by the Cone Sep aration Technique (CST) founded on the
notion of cone separation."
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