一种新的双犹豫模糊软集及其在决策问题中的应用  

A New Bipolar Hesitant Fuzzy Soft Set and Its Applications in Decision Making Problem

作　　者：郭建胜[1] GUO Jiansheng(School of Mathematics and Information Science,Shaanxi Nor mal University,Xi’an 710119,China)

机构地区：[1]陕西师范大学数学与信息科学学院,西安710119

出　　处：《吉林大学学报（理学版）》2018年第5期1058-1066,共9页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11201278;11201279;11271237;61473181;61473336);中央高校基本科研业务费专项基金(批准号:GK201703002)

摘　　要：将犹豫模糊集和双软集模型相结合,给出一种新的双犹豫模糊软集的概念,以及双犹豫模糊软集上的算子,如补、交、并、扩张并、扩张交、限制并和限制交等,并通过约简双模糊软集和水平截集,提出一种基于决策的双犹豫模糊软集的可调方法.该算法给出了做最优选择的方法.By combining the hesitant fuzzy set and bipolar softset models,the author gave a new concept of bipolar hesitant fuzzy soft sets,as well as some operators on the bipolar hesitant fuzzy soft sets,such as complement,“AND”,“OR”,extended union,extendedintersection,restricted union and restricted intersection.Bymeans of reduct bipolar fuzzy soft sets and level cut sets,the author proposedan adjustable method to bipolar hesitant fuzzy soft sets based on decision making,and gave the method of making the best choice.

关 键 词：犹豫模糊集 双软集 双犹豫模糊软集 水平截集 约简双模糊软集 

分 类 号：O153.1[理学—数学]