基于心理行为的犹豫模糊语言多属性决策方法研究

发布时间：2019-01-20 19:59

【摘要】：在现实生活中,由于决策问题本身的复杂性、决策者认知结构的有限性、现实问题的模糊性、决策信息表现形式的多样性、决策者自身的“非理性”以及决策者获取所有决策信息的局限性,亟待对决策理论进行完善和发展。当前的多属性决策方法限定决策者是“完全理性状态的人”,较少考虑人的心理行为特征对决策结果变化的影响。因此,本文基于犹豫模糊语言性质的前提下,系统地研究决策者的心理行为的多属性决策,本文从以下四个方面展开深入研究:首先,从犹豫模糊语言数的距离测度和运算规则两个角度对犹豫模糊语言数性质进行探究。基于传统距离测度,引入犹豫度来挖掘犹豫模糊数的犹豫程度,体现犹豫模糊语言数独特的距离测度优势;针对犹豫模糊语言数的特点,通过改进犹豫模糊语言数的运算规则,解决犹豫模糊语言数运算存在边界的问题。并在犹豫模糊数的性质研究基础上,提出了犹豫模糊语言离差最大化属性权重确定方法。其次,基于决策者考虑损失规避的心理行为特征,提出基于前景理论的犹豫模糊语言数多属性决策方法,证明了前景理论的概率权重函数和犹豫模糊语言数相结合具有一定的内在机理和重要意义,同时也说明前景函数引入犹豫模糊语言数作为属性的描述决策信息具备合理性。再次,基于决策者考虑后悔规避的心理行为特征,提出基于后悔理论的犹豫模糊语言数多属性决策方法,将后悔理论的演绎逻辑和犹豫模糊语言数相结合,本文将运用犹豫模糊语言数表征属性值,表现决策者在决策时后悔规避和犹豫心理。最后,通过对电影评分方法这一案例进行研究,为研究问题提供更为真实的背景,同时可以佐证运用前景理论的犹豫模糊语言多属性决策方法与后悔理论的犹豫模糊语言多属性决策方法的进行研究具有合理性和可行性,同时也为优化电影的评分体系提供一定的理论借鉴意义和现实探索意义。
[Abstract]:In real life, due to the complexity of decision making problems, the limited cognitive structure of decision makers, the fuzziness of realistic problems, the diversity of decision information, It is urgent to perfect and develop the decision theory because of the irrationality of the decision maker and the limitation of the decision maker to obtain all the decision information. The current multi-attribute decision making method limits the decision maker to be a "completely rational person", and less considers the influence of the psychological and behavioral characteristics of the person on the change of the decision result. Therefore, based on the nature of hesitant fuzzy language, this paper systematically studies the multi-attribute decision making of decision makers' psychological behavior. This paper carries out in-depth research from the following four aspects: first, In this paper, the properties of hesitant fuzzy language numbers are studied from the distance measure and operation rules of the number of hesitating fuzzy languages. Based on the traditional distance measure, the hesitancy degree is introduced to excavate the hesitation degree of the hesitant fuzzy number, which embodies the advantage of the unique distance measure of the hesitant fuzzy language number. According to the characteristics of hesitant fuzzy language number, the problem of the boundary of hesitating fuzzy language number operation is solved by improving the operation rules of hesitating fuzzy language number. On the basis of the study of the properties of hesitating fuzzy numbers, a method for determining the attribute weights of maximum deviation of hesitating fuzzy language is proposed. Secondly, based on the psychological behavior characteristics of loss aversion, a multi-attribute decision making method based on the foreground theory is proposed. It is proved that the combination of probabilistic weight function and fuzzy language number in foreground theory has certain intrinsic mechanism and important meaning, and it is also reasonable that the foreground function introduces hesitant fuzzy language number as attribute to describe decision information. Thirdly, based on the psychological behavior characteristics of regret avoidance, a multi-attribute decision making method based on regret theory is proposed, which combines the deductive logic of regret theory with the fuzzy number of hesitation language. In this paper, the attribute value is represented by the number of hesitant fuzzy language, and the decision maker's regret and hesitation in decision-making are represented. Finally, through the case study of the film scoring method, it provides a more realistic background for the research. At the same time, it can be proved that it is reasonable and feasible to study the methods of multi-attribute decision-making of hesitation fuzzy language based on foreground theory and regret theory. At the same time, it also provides some theoretical reference and practical significance for optimizing the film scoring system.
【学位授予单位】：江南大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O225

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