Algebra of Efficient Sets for Multiobjective Complex Systems |
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Authors: | Melissa Gardenghi Trinidad Gómez Francisca Miguel Margaret M Wiecek |
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Institution: | 1.Department of Mathematical Sciences,Clemson University,Clemson,USA;2.Department of Applied Economics (Mathematics),University of Málaga,Málaga,Spain |
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Abstract: | Complex systems are modeled as collections of multiobjective programs representing interacting subsystems of the overall system.
Since the calculation of efficient sets of these complex systems is challenging, it is desirable to decompose the overall
system into component multiobjective programs, that are more easily solved and then construct the efficient set of the overall
system. For some classes of complex systems, algebraic properties of set operations and relations are developed between the
efficient set of the overall system and the efficient sets of subproblems. The properties indicate that multiple decomposition
and coordination schemes, with varying assumptions regarding the system, may be applied to the same initial system. |
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Keywords: | |
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