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Titolo:
Existence and construction of weight-set for satisfying preference orders of alternatives based on additive multi-attribute value model
Autore:
Ma, J; Fan, ZP; Wei, QL;
Indirizzi:
City Univ Hong Kong, Dept Informat Syst, Kowloon, Hong Kong, Peoples R China City Univ Hong Kong Kowloon Hong Kong Peoples R China g, Peoples R China Northeastern Univ, Dept Informat & Decis Sci, Shengyang, Peoples R China Northeastern Univ Shengyang Peoples R China Shengyang, Peoples R China Renmins Univ China, Inst Operat Res & Math Econ, Beijing, Peoples R China Renmins Univ China Beijing Peoples R China on, Beijing, Peoples R China
Titolo Testata:
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS
fascicolo: 1, volume: 31, anno: 2001,
pagine: 66 - 72
SICI:
1083-4427(200101)31:1<66:EACOWF>2.0.ZU;2-7
Fonte:
ISI
Lingua:
ENG
Soggetto:
MULTIATTRIBUTE VALUE MODELS; SENSITIVITY ANALYSIS; DECISION-MAKING;
Keywords:
decision analysis; extreme point; preference; weight-set;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
23
Recensione:
Indirizzi per estratti:
Indirizzo: Ma, J City Univ Hong Kong, Dept Informat Syst, Kowloon, Hong Kong, PeoplesR China City Univ Hong Kong Kowloon Hong Kong Peoples R China ples R China
Citazione:
J. Ma et al., "Existence and construction of weight-set for satisfying preference orders of alternatives based on additive multi-attribute value model", IEEE SYST A, 31(1), 2001, pp. 66-72

Abstract

Based on the additive multi-attribute value model for multiple attribute decision making (MADM) problems, this paper investigates how the set of attribute weights (or weight-set thereafter) is determined according to the preference orders of alternatives given by decision makers. The weight-set is a bounded convex polyhedron and can be written as a convex combination of the extreme points. We give the sufficient and necessary conditions for the weight-set to be not empty and present the structures of the weight-set forsatisfying the preference orders of alternatives. A method is also proposed to determine the weight-set. The structure of the weight-set is used to determine the interval of weights for every attribute in the decision analysis and to judge whether there exists a positive weight in the weight-set. The research results are applied to several MADM problems such as the geometric additive multi-attribute value model and the MADM problem with cone structure.

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Documento generato il 02/06/20 alle ore 02:08:10