基于语言新集结算子的群体决策方法

发布时间：2018-03-13 22:10

本文选题：语言信息　切入点：运算规则　出处：《广西大学》2016年硕士论文　论文类型：学位论文

【摘要】：在复杂多变的环境中,由于决策问题的复杂性、不确定性和人们认知的有限性等,人们对客观事物的评价习惯采用语言形式表达.因此,基于语言评价信息的决策理论与方法受到学者们的广泛关注.本文重点研究语言信息的新表达方式和新集结方法及其在多属性群体决策中的应用,取得的成果主要如下：(1)从多属性群体决策的实际出发,给出语言评价信息的新表达形式,使新形式体现评价和重要性等方面的决策信息.基于语言信息的新形式定义与其相适应的运算规则,新定义的运算规则具有运算封闭等良好性质,运算结果符合人类认知规律,能有效克服原有语言信息运算存在的“失真”和“越界”等不足.(2)针对语言和不确定信息的群体决策问题,基于所定义的语言信息的新形式和运算规则给出集成语言信息的新算子和集成不确定语言信息的新算子,进而提出相应的群体决策方法,并通过算例说明所提方法的有效性.(3)针对直觉语言信息的群体决策问题,将直觉模糊信息融入语言表达中,给出了直觉语言信息的新表达形式,并定义其运算规则.在此基础上,给出集成直觉语言信息的新集结算子,进而提出一种基于直觉语言信息新集结算子的群体决策方法,并应用于资金投资的多属性决策中.
[Abstract]:In a complex and changeable environment, due to the complexity of decision making problems, uncertainty and limited cognition, people use linguistic forms to express objective things. The theories and methods of decision based on linguistic evaluation information have been paid more and more attention by scholars. This paper focuses on the new expression and assembly of linguistic information and its application in multi-attribute group decision making. The main achievements are as follows: (1) based on the practice of multi-attribute group decision making, a new expression of linguistic evaluation information is given. The new form reflects the decision information of evaluation and importance. The new form definition based on language information is suitable for the operation rules. The new definition has the good properties of closed operation, and the result accords with the human cognitive law. It can effectively overcome the shortcomings such as "distortion" and "crossing boundaries" existing in the operation of original language information, etc.) aiming at the problem of group decision making of language and uncertain information, Based on the new forms and operation rules of the defined language information, a new operator for integrating language information and a new operator for integrating uncertain language information are presented, and the corresponding group decision making methods are proposed. An example is given to illustrate the effectiveness of the proposed method. (3) aiming at the problem of group decision making of intuitionistic language information, the intuitionistic fuzzy information is incorporated into language expression, and a new expression form of intuitionistic language information is given. On the basis of this, a new aggregation operator for integrating intuitionistic language information is given, and then a group decision making method based on intuitionistic language information is proposed, which is applied to the multi-attribute decision making of capital investment.
【学位授予单位】：广西大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：O225

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