基于集结算子的区间多属性决策方法

发布时间：2018-04-21 02:27

本文选题：多属性决策 + 区间数　；参考：《曲阜师范大学》2011年硕士论文

【摘要】：多属性决策是现代决策科学的重要分支,其理论与方法在经济、管理、工程和军事等诸多领域都有着广泛的应用.在实际决策中,由于客观事物的复杂性、不确定性以及人类思维的模糊性,决策信息往往以区间数的形式给出.本文主要研究基于集结算子的区间多属性决策方法,共分三章. 第一章,介绍了区间数信息集结算子和区间多属性决策问题的研究背景、发展现状以及本文的主要研究成果. 第二章,研究基于优先集结算子的区间多属性决策方法.首先定义了三种优先集结算子：优先不确定有序加权平均(PUOWA)算子、优先有序加权的C-OWA (POWC-OWA)算子和优先有序加权C-OWG (POWC-OWG)算子,并研究了其性质.把这些算子应用于属性权重完全未知且属性值以区间数形式给出的多属性决策问题,提出了两种属性问有优先级别关系的区间多属性决策方法.最后通过实例说明了所提方法的有效性和实用性. 第三章.研究基于拓展的Bonferroni平均算子的区间多属性决策方法.首先提出了三种拓展的Bonferroni平均算子：区间Bonferroni平均(IBM)算子、Bonferroni不确定有序加权平均(BON-UOWA)算子、加权BON-UOWA(WBON- UOWA)算子,并讨论了其性质.基于WBON-UOWA算子,提出属性值为区间数的多属性决策方法.并进行了实例分析.
[Abstract]:Multi-attribute decision making is an important branch of modern decision-making science. Its theory and methods are widely used in many fields such as economy, management, engineering and military. Because of the complexity of objective things, uncertainty and the fuzziness of human thinking, the decision information is often given in the form of interval numbers. In this paper, the method of interval multiple attribute decision making based on aggregation operator is studied, which is divided into three chapters. In the first chapter, we introduce the research background of interval number information aggregation operator and interval multiple attribute decision making problem, the development status and the main research results of this paper. In chapter 2, the interval multiple attribute decision making method based on priority aggregation operator is studied. In this paper, we first define three kinds of priority aggregation operators: the first uncertain ordered weighted average (PUOWA) operator, the first ordered weighted C-OWA POWC-OWA-operator, and the first ordered weighted C-OWG POWC-OWG-based operator. The properties of the operator are studied. These operators are applied to the multi-attribute decision making problems in which the attribute weights are completely unknown and the attribute values are given in the form of interval numbers. Two kinds of interval multi-attribute decision making methods with priority relation between attributes are proposed. Finally, an example is given to illustrate the effectiveness and practicability of the proposed method. Chapter III The interval multiple attribute decision making method based on extended Bonferroni average operator is studied. In this paper, three extended Bonferroni averaging operators: interval Bonferroni mean Bonferroni averaging operator and weighted BON-UOWAA operator, weighted BON-UOWAA operator are proposed, and their properties are discussed. Based on WBON-UOWA operator, a multi-attribute decision making method with interval number of attribute values is proposed. An example is given.
【学位授予单位】：曲阜师范大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：C934

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