分布式偏好关系的一致性研究及其在决策中的应用

发布时间：2018-07-06 17:09

本文选题：不确定性多属性决策 + 方案成对比较方法　；参考：《合肥工业大学》2017年硕士论文

【摘要】：偏好关系作为一种典型的决策者偏好信息的表达方式,被广泛运用于众多不确定环境下的多属性决策问题中。传统的偏好关系是构建在单等级上成对方案间的比较关系,如层次分析法、模糊偏好关系和直觉模糊偏好关系等。区别于传统的方案成对比较方法,分布式偏好关系构建多等级上的方案比较关系,且同时表达优于、劣于、无差异和不确定四种关系,更为全面、柔性地描述了成对方案间的比较关系,合理地应对高度复杂的大规模决策问题。鉴于分布式偏好关系尚处于发展的初级阶段,有必要对分布式偏好关系进行深入研究,进一步探讨其传递性和一致性条件,以促进动态、不确定性环境下的科学决策。首先,本文对分布式偏好关系的一致性条件进行研究。首先从多个方面系统地阐述分布式偏好关系的传递性条件,并分析了其相关性质。然后基于分布式偏好关系的传递性条件,进一步研究分布式偏好关系的一致性问题。给定相邻方案间的分布式偏好关系,构建基于等级得分值的等级合成规则,进一步提出信念度分配规则,最后以两规则为基础,定义分布式偏好关系矩阵的一致性判定准则。其次,本文对基于分布式偏好关系一致性的多属性决策方法进行研究。基于定义的分布式偏好关系的一致性条件,构建一种新的分布式偏好关系间地合成规则,且符合其一致性准则。以此合成规则为核心,设计了多属性决策方法的求解流程,以产生满足一致性的决策结果。利用安徽省芜湖市战略性新兴产业评估问题对提出的决策方法展开案例研究与分析,验证相关研究的有效性和应用性。上述研究丰富和完善了分布式偏好关系的理论知识,为利用分布式偏好关系建模的不确定性决策问题的研究发展增添了科学性和合理性。
[Abstract]:As a typical decision maker's preference information expression, preference relationship is widely used in multiple attribute decision-making problems under a large number of uncertain environments. The traditional preference relationship is a comparative relationship constructed in a single level, such as analytic hierarchy process, fuzzy preference relationship and intuitional fuzzy preference relationship. The scheme makes a comparison method, and the distributed preference relationship constructs the comparative relationship between the multilevel schemes, and at the same time, it expresses better than, inferior, no difference and uncertainty four relations. It is more comprehensive and more comprehensive and flexible to describe the comparative relationship between the other cases, and reasonably deal with the highly complex large-scale decision-making problem. In view of the distribution preference relationship is still still in place At the primary stage of development, it is necessary to further study the distributed preference relationship and further explore its transitivity and consistency conditions so as to promote the scientific decision-making under the dynamic and uncertain environment. First, this paper studies the consistency conditions of distributed preference relations. Based on the transitivity condition of the system, the consistency of distributed preference relationship is further studied based on the transitivity condition of distributed preference relationship. Based on the two rule, the consistency criteria of distributed preference relation matrix are defined. Secondly, this paper studies the multi attribute decision making method based on the consistency of distributed preference relations. Based on the conformance condition of the defined distributed preference relationship, a new distribution rule of distributed preference relations is constructed and consistent with its consistency. At the core of this rule, the solution process of multi attribute decision making method is designed to produce the decision results satisfying consistency. Case study and analysis are carried out on the proposed decision method using the strategic emerging industry assessment problem in Wuhu of Anhui province to verify the effectiveness and applicability of the related research. The theoretical knowledge of distributed preference relationship is perfected, which adds scientific and rational to the research and development of uncertainty decision making using distributed preference relationship modeling.
【学位授予单位】：合肥工业大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：C934

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