基于区间二型模糊集的语言群体决策模型及应用研究

项目名称： 基于区间二型模糊集的语言群体决策模型及应用研究

项目编号： No.71301110

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 管理科学

项目作者： 吴志彬

作者单位： 四川大学

项目金额： 20.5万元

中文摘要： 词语对不同的人意味着不同的语义。区间二型模糊集相比已广泛使用的一型模糊集，能更有效刻画个体语言的不确定性和个体间语义差异的不确定性。本项目针对语言群体决策研究面临的挑战，在区间二型模糊集刻画语言偏好这一前提下，提炼出三个核心问题：选择过程、共识过程、语言决策模型的比较。（1）基于区间二型模糊集来处理多粒度语言偏好表达下的语言个体性问题，进一步探讨区间二型模糊集的集结机制和排序方法，据此构建背景依赖型选择过程。（2）现有共识决策模型局限于决策过程中方案数目和属性数目固定的情形。项目建立基于区间二型模糊集的新的语言共识模型，解决方案或属性可变化的共识决策问题。（3）对以二元语义计算模型和以区间二型模糊集为基础的两类语言决策模型进行比较研究，揭示两类模型的特点。以供应商选择为例应用所提出的模型和方法。研究结果为更有效地解决语言群体决策问题提供理论和方法借鉴，推动语言群体决策研究的发展。

中文关键词： 群体决策；区间二型模糊集；犹豫语言信息；共识模型；决策方法

英文摘要： Words mean different things to different people. Compared to type-1 fuzzy set which has been widely used in decision making to represent linguistic preferences, that is, words, interval type-2 fuzzy set has proved to be a more effective way to characterize the linguistic uncertainties. It is argued that the intra- and inter-uncertainties about a word can be modeled by an interval type-2 fuzzy set but cannot be modeled by a type-1 fuzzy set. To deal with the challenges and new characteristics appeared in linguistic group decision making problem, under the assumption that the interval type-2 fuzzy set is used to depict linguistic preferences, this project aims to solve three core problems: the selection process, the consensus process, and the model comparison. (1) The interval type-2 fuzzy set is first used to deal with individual preferences in multi-granular linguistic context. How to aggregate and rank interval type-2 fuzzy sets will be further discussed. A selection process that depends on particular problem therefore can be designed. (2) The existing consensus models generally assume that the number of alternatives and\or the number of attributes is predetermined and fixed in the decision process. This project establishes a new consensus model based on interval type-2 fuzzy sets to solve the consensus problem

英文关键词： Group decision making；Interval type-2 fuzzy set；Hesitant fuzzy linguistic information；Consensus model；Decision making method