Sufficient conditions for preference optimality |
| |
Authors: | W Stadler |
| |
Institution: | (1) Department of Mechanical Engineering, University of California, Berkeley, California |
| |
Abstract: | Preference optimality is an optimality concept in multicriteria problems, that is, in problems where several criteria are to beoptimized simultaneously. Formally, one wishes to optimizeN criteriag
i(·) or, equivalently, a criterion vectorg(·)
N
, subject to either functional constraints in programming or to side conditions which are differential equations in optimal control. Subject to these constraints, one obtains forg(·) a set of attainable values in
N
. This set is preordered by the introduction of a complete preordering ; a controlu*(·) or a decisionx*, then, is preference-optimal if it results ing(u*(·)) g(u(·)) for all admissible controlsu(·) or ifg(x*) g(x) for all feasible decisionsx. The present paper concerns sufficient conditions for preference-optimal control and for preference-optimal decisions. |
| |
Keywords: | Multicriteria optimization cooperative games sufficiency theorems preference optimality |
本文献已被 SpringerLink 等数据库收录! |
|