Metadata language
A method of approximating Pareto sets for assessments of implicit Pareto set elements
Subtitle:Raport Badawczy = Research Report ; RB/88/2007
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:15 pages ; 21 cm ; Bibliography p. 14-15
Abstract:Deriving efficient variants in complex multiple criteria decision making problems requires optimization. This hampers greatly broad use of any multiple criteria decision making method. In multiple criteria decision making Pareto sets, i.e. sets of efficient vectors of criteria values corresponding to feasible decision alternatives, are of primal interest. Recently, methods have been proposed to calculate assessments for any implicit element of a Pareto set (i.e. element which has not been derived explicitly but has been designated in a form which allows its explicit derivation, if required) when a finite representation of the Pareto set is known. In that case calculating respective bounds involves only elementary operations on numbers and does not require optimization. In this paper the problem of approximating Pareto sets by finite representations which assure required tightness of bounds is considered for bicriteria decision making problems. Properties of a procedure to derive such representations and its numerical behavior are investigated.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Creative Commons Attribution BY 4.0 license
Terms of use:Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Digitizing institution:Systems Research Institute of the Polish Academy of Sciences
Original in:Library of Systems Research Institute PAS
Projects co-financed by: Access: