基于灰色关联的灰色犹豫模糊VIKOR方法  

Grey Hesitant Fuzzy Sets and Its Decision Making Based on Grey Relation and VIKOR Method

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,江苏南京210016 [2]临沂大学商学院,山东临沂276005

出　　处：《数学的实践与认识》2015年第18期119-126,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71111130211,70901041,70701017);国家自然科学基金重大研究计划培育项目(90924022);国家自然科学基金面上项目(70971064)

摘　　要：犹豫模糊集作为模糊集的最新扩展形式,有其独特的优势.在现实的犹豫模糊决策中,决策信息往往是不确定的灰信息,因此所提出的灰色犹豫模糊集合(GHFS),即属于对犹豫模糊集的扩展,更属于灰集的一个特殊分支,拓展了灰色系统的应用领域.还给出了灰犹豫模糊元的距离计算公式,进而提出了GHFS的灰关联加权和VIKOR决策方法,最后用专业市场发展策略的算例证明了方法的有效性与实用性.Hesitant fuzzy set as a fuzzy set of the latest extension form, has its unique advantage. In reality the hesitant fuzzy decision-making, decision-making information is often grey uncertain information.In this paper,we propose grey hesitant fuzzy set （GHFS）, which is not only an extension of the hesitant fuzzy set, but also a special branch of grey sets, which expands the application field of grey system. This paper also presents the calculation formula of grey hesitant fuzzy element distance, and then puts forward the grey weighted and VIKOR decision method of GHFS.A professional market development strategy selection problem is used to illustrate the detailed implementation process of the proposed approach,and demonstrate its validity and applicability.

关 键 词：灰色犹豫模糊集 灰关联 VIKOR 

分 类 号：O159[理学—数学]