基于TOPSIS的区间三角模糊集群决策方法

数学理论与应用 ›› 2018, Vol. 38 ›› Issue (1-2): 80-95.

基于TOPSIS的区间三角模糊集群决策方法

李敏苏变萍张强强

西安建筑科技大学

出版日期:2018-06-30 发布日期:2020-09-18
基金资助:
陕西省社会科学基金项目(13D175)

New Group Decision Making Method in Interval-triangular Fuzzy Setting Based on TOPSIS

Online:2018-06-30 Published:2020-09-18

摘要/Abstract

摘要： 在多属性决策方法中,因为每个专家都有他自己的知识和专长,因此对于不同的属性不同的专家就会有不同的权重.在区间三角模糊集上提出了一种基于TOPSIS的确定专家权重的新方法.该方法在评价值接近正理想点并且同时远离负理想点时会被赋予一个较高的专家权重;反之,评价值就会被赋予一个小的专家权重;经验证,通过该方法确定的专家权重对于解决实际的决策问题效果显著.进而提出了一种属性权重信息在不同情形下的区间三角模糊集多属性群决策方法:包括属性权重完全已知,部分已知和完全未知,并且通过实例验证了该方法的可行性和有效性.

关键词: 多属性群决策方法, 区间直觉模糊集, 权重 , TOPSIS

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 are completely known, partly known and completely unknown. Finally, the feasibility and validity of this method are proved by our examples.

Key words: , Multiple attribute group decision making, Interval-triangular fuzzy set, Weight, TOPSIS

李敏 , 苏变萍, 张强强 . 基于TOPSIS的区间三角模糊集群决策方法[J]. 数学理论与应用, 2018, 38(1-2): 80-95.

Li Min, Su Bianping , Zhang Qiangqiang.

New Group Decision Making Method in Interval-triangular Fuzzy Setting Based on TOPSIS [J]. Mathematical Theory and Applications, 2018, 38(1-2): 80-95.