灰色犹豫模糊集及其灰关联TOPSIS决策方法  

Grey hesitant fuzzy sets and its decision making based on grey relation and TOPSIS

作　　者：李庆胜[1,2] 刘思峰[1] 

机构地区：[1]南京航空航天大学经济与管理学院,江苏南京211106 [2]临沂大学商学院,山东临沂276005

出　　处：《江苏科技大学学报（自然科学版）》2015年第6期597-601,606,共6页Journal of Jiangsu University of Science and Technology:Natural Science Edition

基　　金：国家自然科学基金国际(地区)合作与交流项目(71111130211);国家自然科学基金资助项目(70901041;70701017);国家自然科学基金重大研究计划培育项目(90924022);国家自然科学基金资助项目(70971064)

摘　　要：犹豫模糊集作为模糊集的最新扩展形式,在处理部分确定、部分不确定新方面有其独特的优势.在现实的犹豫模糊决策中,决策信息往往呈现部分信息已知,部分信息未知的特征,体现为灰信息的形式.基于此,文中提出了一种新的灰色犹豫模糊集合(gray hesitant fuzzy set,GHFS),将犹豫模糊集扩展到灰集领域.文章还给出了灰犹豫模糊元的距离计算公式,提出了GHFS的灰关联加权和TOPSIS(technique for order preference by similarity to an ideal solution)决策方法.专业市场发展策略的算例表明了方法的有效性与实用性.As a fuzzy set of the latest extension form,hesitant fuzzy set has its unique advantage in dealing with the data of partial certainty and partial uncertainty. In reality,in the hesitant fuzzy decision-making,the information is often partially known and partially unknown,embodied in the form of grey information. So we propose a new grey hesitant fuzzy set（ GHFS） which is an extension to grey sets of the hesitant fuzzy set. This paper also presents the calculation formula of grey hesitant fuzzy element distance,and then puts forward the grey weighted and TOPSIS decision method of GHFS. A professional market development strategy selection problem is used to illustrate the detailed implementation process of the proposed approach and to demonstrate its validity and applicability.

关 键 词：灰色犹豫模糊集 灰关联 TOPSIS 

分 类 号：C934[经济管理—管理学]