A novel hesitant fuzzy signed distance and its application

被引：0
|
作者：
Liu X. [1 ]
Zhu J. [2 ]
Zhang S. [1 ]
Wang Z. [3 ]
机构：
[1] School of Mathematics and Physics, Anhui University of Technology, Ma'anshan
[2] College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing
[3] School of Management Science and Engineering, Anhui University of Technology, Ma'anshan
来源：
Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice | 2019年 / 39卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Hesitant fuzzy signed distance; Lexicographical ordering; Max-min operator; Multiple attribute decision making;
D O I：
10.12011/1000-6788-2017-0682-09
中图分类号：
学科分类号：
摘要：
The hesitant fuzzy multiple attribute decision making problems with partly known weight information are investigated. With respect to the problem that the ranking of alternatives is affected by additional values added in a hesitant fuzzy element (HFE), a novel hesitant fuzzy decision method is proposed. Firstly, a novel score function and hesitancy index of a HFE are presented, based on which a novel hesitant fuzzy signed distance which is robust to the additional values added in a HFE is developed. Secondly, motivated by the idea of max-min operator, a programming model for determining the attribute weights is constructed. Lastly, the hesitant fuzzy signed distance is applied to solve multiple attribute decision making problems and the feasibility and validity of the proposed approach is illustrated by an example. © 2019, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.
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页码：442 / 450
页数：8
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