A Novel MAGDM Approach With Proportional Hesitant Fuzzy Sets

被引：0
作者：
Sheng-Hua Xiong
Zhen-Song Chen
Kwai-Sang Chin
机构：
[1] Civil Aviation Flight University of China,College of Civil Aviation Safety Engineering
[2] Wuhan University,School of Civil Engineering
[3] City University of Hong Kong,Department of Systems Engineering and Engineering Management
来源：
International Journal of Computational Intelligence Systems | 2018年 / 11卷
关键词：
Fuzzy sets; hesitant fuzzy sets; proportional hesitant fuzzy sets; multi-attribute group decision making;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose an extension of hesitant fuzzy sets, i.e., proportional hesitant fuzzy sets (PHFSs), with the purpose of accommodating proportional hesitant fuzzy environments. The components of PHFSs, which are referred to as proportional hesitant fuzzy elements (PHFEs), contain two aspects of information provided by a decision-making team: the possible membership degrees in the hesitant fuzzy elements and their associated proportions. Based on the PHFSs, we provide a novel approach to addressing fuzzy multi-attribute group decision making (MAGDM) problems. Different from the traditional approach, this paper first converts fuzzy MAGDM (expressed by classical fuzzy numbers) into proportional hesitant fuzzy multi-attribute decision making (represented by PHFEs), and then solves the latter through the proposal of a proportional hesitant fuzzy TOPSIS approach. In this process, preferences of the decision-making team are calculated as the proportions of the associated membership degrees. Finally, a numerical example and a comparison are provided to illustrate the reliability and effectiveness of the proposed approach.
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页码：256 / 271
页数：15
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