文章基本信息

标题：A New Prospect Projection Multi-Criteria Decision-Making Method for Interval-Valued Intuitionistic Fuzzy Numbers
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作者：Jianwei Gao
期刊名称：Information
电子版ISSN：2078-2489
出版年度：2016
卷号：7
期号：4
页码：64
DOI：10.3390/info7040064
语种：English
出版社：MDPI Publishing
摘要：To depict the influence of decision makers’ risk psychology on the interval-valued intuitionistic fuzzy multi-criteria decision-making process, this paper proposes a new method based on prospect theory. Considering the risk attitude of the decision maker, we transform interval-valued intuitionistic fuzzy numbers into real numbers via a prospect value function and consequently derive the prospect decision matrices. Regarding the criteria weights that are incompletely known or completely unknown, a new nonlinear optimization model is developed to determine the criteria weights by considering the subjective and objective factors. Furthermore, we calculate the prospect projection of each alternative for the ideal solution and rank all the alternatives according to the prospect projection values. Finally, an example is provided to illustrate the application of the developed approach.
关键词：multi-criteria decision-making; prospect theory; interval-valued intuitionistic fuzzy set; risk attitude multi-criteria decision-making ; prospect theory ; interval-valued intuitionistic fuzzy set ; risk attitude