基于TOPSIS的区间直觉模糊集多属性群决策方法研究综述
The Research Reviewed of the Multi-Attribute Group Decision Making Method for Interval-Valued Intuitionistic Fuzzy Sets Based on TOPSIS
DOI: 10.12677/AAM.2018.710149, PDF,  被引量    科研立项经费支持
作者: 李敏, 苏变萍, 张强强:西安建筑科技大学理学院,陕西 西安
关键词: 多属性群决策方法区间直觉模糊集权重TOPSISMultiple Attribute Group Decision Making Interval-Valued Intuitioniastic Fuzzy Set Weight TOPSI
摘要: 关于区间直觉模糊集多属性群决策方法的研究已然成为当前决策领域的一个热点,并且,被广泛应用于各类决策问题中。因此,为了能够更好地了解区间直觉模糊集在群决策问题中的排序方法、更好地将其应用到决策问题的各个领域,本文介绍了区间直觉模糊集在多属性决策与多属性群决策问题中的研究现状,分析了在多属性群决策问题中确定专家权重的方法及其不足,在区间直觉模糊集上提出了一种基于TOPSIS的确定专家权重的新方法,进一步给出了一种基于新权重方法的区间直觉模糊集多属性群决策方法,最后对其今后可能的发展方向进行了预测。
Abstract: In multiple attribute group decision making, because every expert has his own knowledge and expertise, different experts have different weights for different attributes. A new method to determine the expert’s weights is put forward based on the TOPSIS method in interval-triangular fuzzy setting. If the evaluation value is close to the positive idea evaluation value and far away from the negative ideal evaluation value, it will be given a large weight; otherwise, the evaluation value will be given a small weight. Experience shows that the weight of experts determined by this method has a significant effect on solving practical decision-making problems. A new method of multiple attribute interval-valued intuitionistic fuzzy group decision making is presented in this paper, including the attribute weights which are completely known, partly known and completely unknown. Finally, the feasibility and validity of this method are proved by our examples.
文章引用:李敏, 苏变萍, 张强强. 基于TOPSIS的区间直觉模糊集多属性群决策方法研究综述[J]. 应用数学进展, 2018, 7(10): 1278-1288. https://doi.org/10.12677/AAM.2018.710149

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