Proceedings of the 13th International Conference On, Intelligent Systems Application to Power Systems
DOI: 10.1109/isap.2005.1599245
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Pareto Multi Objective Optimization

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Cited by 373 publications
(240 citation statements)
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“…Performance improvement of one objective may result in performance degradation of other objectives, so it is very difficult or impossible to optimize multiple objectives simultaneously. The feasible solutions of multi-objective optimization problem form a Pareto [18] set. Generally speaking, the multi-objective optimization problem with n decision variables and m objective functions can be expressed as follows.…”
Section: Multi-objective Optimizationmentioning
confidence: 99%
See 1 more Smart Citation
“…Performance improvement of one objective may result in performance degradation of other objectives, so it is very difficult or impossible to optimize multiple objectives simultaneously. The feasible solutions of multi-objective optimization problem form a Pareto [18] set. Generally speaking, the multi-objective optimization problem with n decision variables and m objective functions can be expressed as follows.…”
Section: Multi-objective Optimizationmentioning
confidence: 99%
“…g i ( x) ≤ 0(i = 1,2, , p) defines p inequality constraints, and q equality constraints are defined by h j ( x) = 0( j = 1,2, ,q) .The following concepts [18,19] …”
Section: Multi-objective Optimizationmentioning
confidence: 99%
“…For example, First Order Stochastic Dominance specifies that the set S Υ contains all functions increasing in z. In contrast, the sets of utility functions traditionally considered in Pareto dominance, P Υ , specify different weightings over different objectives (Ngatchou, Zarei, and El-Sharkawi 2005). Often these objectives are discrete criteria, such as "cost", "safety", "reliability"; such problems are often referred to as Multi-Criteria Decision Making or MCDM.…”
Section: Ii1a Comparison With Other Dominance Conceptsmentioning
confidence: 99%
“…The solution of equation 24 produces a single result that is as good as the selection of the weights [43]. A Pareto set can be generated by evaluating a series of single-objective optimisation problems at different values of the weighting factor to avoid having to, a priori, select a particular weighting between objectives.…”
Section: Multi-objective Optimisationmentioning
confidence: 99%