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基于犹豫模糊语言术语集新型距离测度的TOPSIS方法

发表时间:2016-10-15  浏览量:1937  下载量:700
全部作者: 王中兴,陈绍松,兰继斌
作者单位: 广西大学数学与信息科学学院
摘 要: 针对犹豫模糊语言术语集(hesitant fuzzy linguistic term set,HFLTS)已有距离测度只考虑语言值不同,而缺乏考虑语言值个数不同这一问题,提出HFLTS犹豫度。基于犹豫度定义了一些HFLTS的新型距离测度与距离算子,并基于新型距离测度给出一种多属性决策方法——逼近理想点排序技术(technique for order preference by similarity to ideal solution,TOPSIS),最后用实例验证其有效性和可行性。该方法不仅能充分利用原始数据,而且能减少信息丢失。
关 键 词: 决策论;逼近理想点排序技术;犹豫度;新型距离测度;距离算子
Title: TOPSIS method based on new distance measure of hesitant fuzzy linguistic term set
Author: WANG Zhongxing, CHEN Shaosong, LAN Jibin
Organization: College of Mathematics and Information Science, Guangxi University
Abstract: The existing distance measure of hesitant fuzzy linguistic term set (HFLTS) only considers the difference of linguistic values, but fails to take the difference of the number of linguistic values into account. Aiming at this problem, the hesitance degree of HFLTS was proposed. Based on the hesitance degree, some new distance measures and distance operators of HFLTS were defined. Then on account of new distance measure, technique for order preference by similarity to ideal solution (TOPSIS), a multiple attribute decision making method was given. Finally, a numerical example was applied into the method to verify its feasibility and effectiveness. This method can not only make full use of original data, but also reduce the loss of information.
Key words: decision theory; technique for order preference by similarity to ideal solution; hesitance degree; new distance measure; distance operators
发表期数: 2016年10月第19期
引用格式: 王中兴,陈绍松,兰继斌. 基于犹豫模糊语言术语集新型距离测度的TOPSIS方法[J]. 中国科技论文在线精品论文,2016,9(19):1955-1962.
 
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