ISSN:
1573-2878
Keywords:
Point-to-set maps
;
domination structures
;
parameterized decision-making problems
;
solution maps
;
stability
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Decision-making problems with multiple noncommensurable objectives are specified by two factors, i.e., the set of all feasible solutions and the domination structure. The solutions are characterized as nondominated points. Hence, in these problems, there may exist two parameter vectors, according to which the above two factors change. The stability of the solution set for perturbations of these parameters is investigated in this paper. The analysis is guided by using the concept of continuity of the solution map defined on the two parameter spaces.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00934497