【作者】 邝坦励；

【导师】 肖智；

【作者基本信息】 重庆大学 ， 管理科学与工程， 2013， 博士

【摘要】 随着社会的发展，多属性决策作为决策的重要内容、多准则决策的分支，其理论与方法研究都取得很大的进步。多属性决策理论与方法已被广泛应用于经济、社会、政治和军事诸多领域，取得巨大经济和社会效益。然而，由于人们所面临的决策问题日趋复杂，已有的多属性决策理论与方法还远不能满足解决实际多属性决策问题的需要。因此，有必要进一步发展和完善多属性决策理论与方法。本文将模糊软集合理论方法引入多属性决策中，提出基于模糊软集合的多属性决策方法。本文的主要工作：对传统模糊软集合及其多属性决策方法、区间模糊软集合及其多属性决策方法、三角模糊软集合及其多属性决策方法和梯形模糊软集合及其多属性决策方法进行论述。在分析现有传统模糊软集合和区间模糊软集合的基础上，根据相关多属性决策问题的特征，将现有传统模糊软集合和区间模糊软集合引入到多属性决策中，通过借鉴现有传统模糊软集合决策方法和区间模糊软集合决策方法，构建基本模糊软集合一般多属性决策方法、基本模糊软集合组合多属性决策方法、传统直觉模糊软集合多属性决策方法、基本区间模糊软集合多属性决策方法和区间直觉模糊软集合多属性决策方法。用算例说明这些多属性决策方法的可行性和有效性。但现有模糊软集合理论方法不能有效地处理属性值以三角模糊数或梯形模糊数形式出现的多属性问题。为了能有效地处理这些多属性决策问题，根据这些多属性决策问题的特征，提出三角模糊软集合和梯形模糊软集合，并构建三角模糊软集合多属性决策方法和梯形模糊软集合多属性决策方法。用算例说明这两类多属性决策方法的可行性和有效性。更多还原

【Abstract】 With the development of the society, Multi-attribute Decision Making (MADM forshort), as an important content of decision making and a branch of Multi-criteriaDecision Making (MCDM for short), witnesses its great advance in the aspects of itstheory as well as its methods. The theory of MADM and its methods, which have beenwidely used in the fields of economy, society, politics, military etc., has achieved hugeeconomic and social benefits. Yet, as people are confronting with more and morecomplicated decision making problems, existing theory and methods on MADM are farfrom meeting the needs of practical decision making problems. So, it is a must todevelop and better MADM theory and its methods.In this study, by introducing the fuzzy soft set theory into MADM, multi-attributedecision making theory and its method based on fuzzy soft set is proposed. The studymainly focuses on researches on traditional fuzzy soft set theory and its method ofmulti-attribute decision-making, on interval fuzzy soft set theory and its method ofmulti-attribute decision-making, on triangle-valued fuzzy soft set theory and its methodof multi-attribute decision-making, on trapezoidal-valued fuzzy soft set theory and itsmethod of multi-attribute decision-making.On the basis of an analysis of existing traditional fuzzy soft set and interval-valuedfuzzy soft set, combined with their multi-attribute decision making problems’ features,the existing traditional fuzzy soft set and interval-valued fuzzy soft set are introducedinto MADM. By referring to the existing traditional fuzzy soft set decision makingmethods and interval-valued fuzzy soft set decision making methods, the decisionmaking methods, including the general multi-attribute decision making method of thebasic fuzzy soft set, the combined multi-attribute decision making method of the basicfuzzy soft set, multi-attribute decision making method of traditional intuitionistic fuzzysoft set, multi-attribute decision making method of the basic interval-valued fuzzy softset, multi-attribute decision making method of interval-valued intuitionistic fuzzy softset, are constructed. All of above are proved to be valid and feasible by examples.But the existing fuzzy soft set theory and methods can not efficiently solve theproblems brought about by the attribute value in the forms of triangle-valued fuzzynumber or trapezoidal-valued fuzzy number. In order to resolve these problems, in viewof the features of these problems, triangle-valued fuzzy soft set and trapezoidal-valued fuzzy soft set are proposed. In addition, multi-attribute decision making method oftriangle-valued fuzzy soft set and multi-attribute decision making method oftrapezoidal-valued fuzzy soft set are constructed. These two multi-attribute decisionmaking methods are proved to be valid and feasible by examples.更多还原