首页 | 本学科首页   官方微博 | 高级检索  
     

犹豫梯形模糊算子在多属性决策中的应用
引用本文:于 倩,侯福均. 犹豫梯形模糊算子在多属性决策中的应用[J]. 计算机工程与应用, 2018, 54(22): 252-257. DOI: 10.3778/j.issn.1002-8331.1708-0013
作者姓名:于 倩  侯福均
作者单位:1.重庆科技学院 工商管理学院,重庆 4013312.北京理工大学 管理与经济学院,北京 100081
摘    要:结合犹豫模糊集和梯形模糊集,提出犹豫梯形模糊集的概念。首先,给出犹豫梯形模糊数的运算法则,探讨犹豫梯形模糊加权平均(HTrFWA)算子和犹豫梯形模糊加权几何(HTrFWG)算子。考虑到犹豫梯形模糊数的有序位置存在具有不同权重的情况,定义了犹豫梯形模糊有序加权平均(HTrFOWA)算子和犹豫梯形模糊有序加权几何(HTrFOWG)算子,并讨论了其相应的运算定理。其次,构建犹豫梯形模糊数的得分函数,并给出犹豫梯形模糊数的排序方法。最后,提出了基于HTrFWA算子和HTrFWG算子的犹豫梯形模糊多属性决策方法,并通过实例进行验证。

关 键 词:犹豫梯形模糊集  得分函数  集成算子  多属性决策  

Application of hesitant trapezoid fuzzy aggregation operators on multiple attribute decision making
YU Qian,HOU Fujun. Application of hesitant trapezoid fuzzy aggregation operators on multiple attribute decision making[J]. Computer Engineering and Applications, 2018, 54(22): 252-257. DOI: 10.3778/j.issn.1002-8331.1708-0013
Authors:YU Qian  HOU Fujun
Affiliation:1.School of Business and Administration, Chongqing University of Science & Technology, Chongqing 401331, China2.School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China
Abstract:Combining hesitant fuzzy set and trapezoid fuzzy set, this paper provides the hesitant trapezoid fuzzy set. Firstly, the algorithm of hesitant trapezoid fuzzy number is proposed, and the Hesitant Trapezoid Fuzzy Weighted Average(HTrFWA) operator and the Hesitant Trapezoid Fuzzy Weighted Geometric(HTrFWG) operator are defined. Considering the fact that the ordered position of the hesitant trapezoidal fuzzy numbers has different weights, the Hesitant Trapezoid Fuzzy Ordered Weighted Average(HTrFOWA) operator and the Hesitant Trapezoid Fuzzy Ordered Weighted Geometric(HTrFOWG) operator are defined, and their operation laws are discussed. Secondly, the score function of hesitant trapezoid fuzzy number is defined, and the sorting method is given correspondingly. Furthermore, an approach based on the HTrFWA operator and HTrFWG operator is proposed for multiple attribute decision making problems under hesitant trapezoid fuzzy environment. Finally, a numerical example is given to illustrate the application of the proposed approach.
Keywords:hesitant trapezoid fuzzy set  score function  aggregation operators  multiple attribute decision making  
点击此处可从《计算机工程与应用》浏览原始摘要信息
点击此处可从《计算机工程与应用》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号