西南交通大学学报2012，Vol.47Issue(4)：705-711,7.DOI:10.3969/j.issn.0258-2724.2012.04.027
基于区间概率偏好的随机格序群决策方法
Random Lattice Order Group Decision-Making Based on Interval Probability Preferences
摘要
Abstract
To solve the random lattice order group decision-making problems where preference relations are random and probability of random events is described by interval values, a decision-making method based on the preferences of decision makers subject to an interval probability distribution is proposed. First, the preference relations are extended from four kinds ( preference, inferior , indifference, and incomparability) to seven kinds ( preference, inferior, indifference, incomparability, incomparability with a minimum upper bound, incomparability with a maximum lower bound, and incomparability with a minimum upper bound and a maximum lower bound). Second, the probability distribution of lattice order preference relations is defined on the basis of the concept and property of interval probability, and the operation rules of interval numbers. Third, the probability maximization objective function of preference relation of any pair of alternatives is established, and individual preferences are aggregated to group preferences according to priority rules and intersection rules. Finally, the steps of the group decision-making method are listed through a case study, and the feasibility and effectiveness of the method is validated.关键词
群决策/随机格序/区间概率/偏好关系Key words
group decision-making/ random lattice order/ interval probability/ preference relation分类
管理科学引用本文复制引用
郭春香,郭强,郭耀煌..基于区间概率偏好的随机格序群决策方法[J].西南交通大学学报,2012,47(4):705-711,7.基金项目
国家自然科学基金资助项目(71071102,70771093) （71071102,70771093）
四川省软科学科技计划资助项目(2010ZR0002) （2010ZR0002）
