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Stochastic preference analysis in numerical preference relations

delete2014-09-01
delete34
PRE
AI
朱
朱斌 (Bin Zhu)
徐泽水 cover
徐泽水 (Zeshui Xu) *
DOI:10.1016/j.ejor.2014.01.068delete
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Abstract

Abstract

En 中文
Numerical preference relations (NPRs) consisting of numerical judgments can be considered as a general form of the existing preference relations, such as multiplicative preference relations (MPRs), fuzzy preference relations (FPRs), interval MPRs (IV-MPRs) and interval FPRs (IV-FPRs). On the basis of NPRs, we develop a stochastic preference analysis (SPA) method to aid the decision makers (DMs) in decision making. The numerical judgments in NPRs can also be characterized by different probability distributions in accordance with practice. By exploring the judgment space of NPRs, SPA produces several outcomes including the rank acceptability index, the expected priority vector, the expected rank and the confidence factor. The outcomes are obtained by Monte Carlo simulation with at least 95% confidence degree. Based on the outcomes, the DMs can choose some of them which they find most useful to make reliable decisions. (C) 2014 Elsevier B.V. All rights reserved.
Keywords:
Decision analysis
Preference relation
Stochastic methods
Simulation

Journal

European Journal of Operational Research cover
European Journal of Operational Research
IF:
6
Papers:
2.2W
Citations:
6.4W

Organization

S
southeast university - china
Scholars:
5.3W
Papers: 4.9W
Citations: 57
S
sichuan university
Scholars:
12.1W
Papers: 7.8W
Citations: 100
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