区间值毕达哥拉斯密度算子及群决策方法  

Interval-valued Pythagorean Density Operator and Group Decision-Making Method

作　　者：万本庭 路如意 WAN Ben-ting;LU Ru-yi(School of Software and Internet of Things Engineering,Jiangxi University of Finance and Economics,Nanchang 330013,China)

机构地区：[1]江西财经大学软件与物联网工程学院,江西南昌330013

出　　处：《数学的实践与认识》2021年第16期135-145,共11页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61363075);江西省科技厅项目(20161BBG70078);江西省教育厅(GJJ180270,KJLD13031);江西省普通本科高校中青年教师发展计划访问学者专项基金(赣教办函[2016]169号)。

摘　　要：密度算子处理属性分布不均的情形具有一定的优势,而区间值毕达哥拉斯模糊数给决策专家更大的灵活性,基于它们的优势研究了区间值毕达哥拉斯密度算子及群决策方法.首先提出了区间值毕达哥拉斯密度算子(IVPFDM),并研究了它的性质.结合IVPFDM算子,提出了一种新的多目标多属性群决策方法,案例实施及结果比较表明,提出的算子及群决策方法可行有效.The density operator has certain advantages in dealing with the uneven distribution of attributes.The interval-valued Pythagoras fuzzy number gives decision-makers greater flexibility.This paper studies the interval-valued Pythagoras based on their advantages.Density operators and group decision methods.First,the interval-valued Pythagoras density operator(IVPFDM) is proposed and its properties are studied.Combined with the IVPFDM operator,a new multi-objective multi-attribute group decision-making method is proposed.The case implementation results show that the proposed operator and group decision-making method are feasible and effective.

关 键 词：区间值 毕达哥拉斯模糊数 密度算子 群决策 

分 类 号：O159[理学—数学] O225[理学—基础数学]