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  • 1
    Electronic Resource
    Electronic Resource
    ProperD-solutions of multiobjective programming problems with set functions (1987)
    Springer
    Journal of optimization theory and applications 53 (1987), S. 247-258 
    Details
    ISSN: 1573-2878
    Keywords: Multiobjective programming problems ; D-convex set functions ; D-extreme points ; properD-solutions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A special class of solutions for multiobjective programming problems with set functions is considered. A subset of nondominated solutions, called properD-solution set, with respect to a given domination structure is characterized under two situations, with and without inequality constraints.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939217
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Lagrangian function and duality theory in multiobjective programming with set functions (1988)
    Springer
    Journal of optimization theory and applications 57 (1988), S. 239-251 
    Details
    ISSN: 1573-2878
    Keywords: D-convex set functions ; D-extreme points ; vector-valued Lagrangian functions ; primal maps ; dual maps
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Using the concept of vector-valued Lagrangian functions, we characterize a special class of solutions,D-solutions, of a multiobjective programming problem with set functions in which the domination structure is described by a closed convex coneD. Properties of two perturbation functions, primal map and dual map, are also studied. Results lead to a general duality theorem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00938538
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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