The weighted sum method for multi-objective optimization: new insights
Citations
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284 citations
Cites methods from "The weighted sum method for multi-o..."
...The most widely used method for solving the MOO problems is the weighted sum method [21]...
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236 citations
Cites methods from "The weighted sum method for multi-o..."
...Then, we use a typical weighted sum method [16] by normalizing the three factors....
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231 citations
Cites methods from "The weighted sum method for multi-o..."
...As a common concept in multiobjective optimization, the WS method has been discussed prominently in [32], [51], and [52] since its introduction by Zadeh [53]....
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193 citations
References
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"The weighted sum method for multi-o..." refers background in this paper
...With regards to the design space, minimizing the weighted sum provides a necessary condition if the multiobjective problem is convex, which means the feasible design space is convex (each constraint is convex) and all of the objective functions are convex (Geoffrion 1968; Koski 1985; Miettinen 1999)....
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4,263 citations
"The weighted sum method for multi-o..." refers background or methods in this paper
...In fact, some more complicated methods have been developed so that the shape of the Pareto optimal hypersurface has a minimal affect the accuracy with which it is depicted (Marler and Arora 2004)....
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...To be sure, there are many different approaches for determining the weights (Marler and Arora 2004), but ultimately, however, these are all just different processes for organizing one’s preferences and priorities....
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3,280 citations
2,380 citations
"The weighted sum method for multi-o..." refers background in this paper
...Many researchers have, however, developed systematic approaches to selecting weights, surveys of which are provided by Eckenrode (1965), Hobbs (1980), Hwang and Yoon (1981) , and Voogd (1983)....
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