基于区间毕达哥拉斯模糊相似测度的多属性群决策方法研究  

An Approach to Multiple Attribute Group Decision Making Based on Interval-valued Pythagorean Fuzzy Cosine Similarity Measure

作　　者：程丽娜 周礼刚[2] CHENG Li-na;ZHOU Li-gang(School of Business Administration,Anhui University of Finance and Economics,Bengbu 233000,China;School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽财经大学工商管理学院,蚌埠233000 [2]安徽大学数学科学学院,合肥230601

出　　处：《价值工程》2019年第19期206-210,共5页Value Engineering

基　　金：国家自然科学基金(71771001,71701001,71371011,71301001,71501002,71871001);安徽省杰出青年基金,安徽省学术和技术带头人及后备人选资助项目(2018H179);安徽省高校省级自然科学研究重点项目(KJ2015A379,KJ2017A026);安徽大学科研训练计划项目(KYXL2017007);安徽大学创新训练项目(201810357005,201810357206,201810357203,201810357518,201810357519)

摘　　要：毕达哥拉斯模糊集是对模糊集和直觉模糊集的推广,本文在实型广义加权平均算子的基础上提出一种新的测度——区间毕达哥拉斯模糊余弦相似测度,并提出了一种基于该相似测度的多属性决策方法。首先,介绍区间毕达哥拉斯模糊数的概念以及运算法则;其次提出了区间毕达哥拉斯模糊有序加权余弦相似测度,分析了其单调性、有界性等相关性质以及其多种推广形式,并将其运用至多属性群决策问题中。最后,将这种群决策方法运用在推选优秀学生的方案选择中,通过改变参数及权重向量取值的方法得到不同集结结果,体现了本文提出的方法的有效性及可行性。Pythagoras fuzzy set is a generalization of fuzzy sets and intuitionistic fuzzy sets.This paper studies a multi-attribute decision-making method based on interval Pythagorean fuzzy set cosine similarity measure.Firstly,the concept of the interval Pythagorean fuzzy number and its operations are introduced.Secondly,the definition of the interval-valued Pythagorean fuzzy ordered weighted cosine similarity measure is introduced.Its monotonicity,boundedness and other related properties as well as its various forms of promotion are discussed.At the end of the paper,this group decision-making method is applied to the selection of the best students,and the results of different aggregations are obtained by changing the parameters and the values of the weight vector,so that the effectiveness and feasibility of this method are reflected.

关 键 词：群决策 区间毕达哥拉斯模糊数 余弦相似测度 IPFOWCS测度 

分 类 号：O159[理学—数学]