期刊
IISE TRANSACTIONS
卷 52, 期 6, 页码 651-664出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/24725854.2019.1670373
关键词
Multiple objective programming; interactive algorithm; preference function form
资金
- METU Grant [YOP-4022018-2668]
Preference functions have been widely used to scalarize multiple objectives. Various forms such as linear, quasiconcave, or general monotone have been assumed. In this article, we consider a general family of functions that can take a variety of forms and has properties that allow for estimating the form efficiently. We exploit these properties to estimate the form of the function and converge towards a preferred solution(s). We develop the theory and algorithms to efficiently estimate the parameters of the function that best represent a decision maker's preferences. This in turn facilitates fast convergence to preferred solutions. We demonstrate on a variety of experiments that the algorithms work well both in estimating the form of the preference function and converging to preferred solutions.
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