六盘水师范学院学报2024，Vol.36Issue(3)：75-91,17.DOI:10.16595/j1671-055X.2024.03.009
概率对偶犹豫模糊交互融合算子及其在多属性决策中的应用
Probabilistic Dual Hesitant Fuzzy Interaction Aggregation Operators and Their Application to Multi-attribute Decision-making
摘要
Abstract
The multi-attribute decision-making problems in production and life are often full of uncertainty and fuzziness.Probabilistic dual hesitant fuzzy set,as an extension of fuzzy set,can express the information provided by decision makers more comprehensively and accurately.In addition,multi-attribute decision-making method based on aggregation operator is a common-ly used fuzzy decision-making method.Therefore,considering the interaction between membership degree and non-membership degree when aggregating probabilistic dual hesitancy fuzzy information with multiple attributes,the probabilistic dual hesitancy fuzzy interaction operational rules are proposed and the related properties are studied.Secondly,the probabilistic dual hesitation fuzzy weighted interactive average operator,weighted interactive geometric operator and their properties are given.Then,a multi-attribute decision-making method based on probabilistic dual hesitating fuzzy interactive aggregation operator is estab-lished.Finally,an example is given to verify the effectiveness of the proposed decision-making method.关键词
多属性决策/概率对偶犹豫模糊交互运算法则/概率对偶犹豫模糊交互融合算子Key words
Multi-attribute decision-making/Probabilistic dual hesitant fuzzy interaction operational rules/Probabilistic dual hesitation fuzzy interaction aggregation operators分类
数学引用本文复制引用
杨彦坡,张丽芝,宁宝权,陈跃,张华伟..概率对偶犹豫模糊交互融合算子及其在多属性决策中的应用[J].六盘水师范学院学报,2024,36(3):75-91,17.基金项目
六盘水师范学院科学研究(培育)项目"基于概率对偶犹豫模糊集的多属性群决策方法及其应用研究"(LPSSY2023KJZDPY08) （培育）
六盘水师范学院学科(培育)团队项目"学科教学(数学)"(LPSSY2023XKPYTD04) （培育）
六盘水师范学院教育教学研究与改革项目"大学数学教学改革研究"(2022-17-004). （2022-17-004）
