基于区间q阶orthopair模糊可能度的多属性决策方法  

A Multi-attribute Decision-making Approach Based on Possibility Degree Measure in Interval-Valued q-Rung Orthopair Fuzzy Environment

作　　者：王浩伦 李旭翔 徐挺俊 冯良清[1] WANG Haolun;LI Xuxiang;XU Tingjun;FENG Liangqing(School of Economics and Management,Nanchang Hangkong University,Nanchang 330063,China)

机构地区：[1]南昌航空大学经济管理学院,江西南昌330063

出　　处：《工业工程》2024年第3期54-63,共10页Industrial Engineering Journal

基　　金：国家自然科学基金资助项目(71862025,72361026);江西省“双千计划”哲学社会科学领军人才资助项目(jxsq2019203008);中国教育部人文社科基金资助项目(19YJC630164);江西省博士后科研资助计划(2019KY14);江西省高校人文社科科学研究资助项目(GL23104)。

摘　　要：判定区间q阶orthopair模糊数(IVq-ROFNs)排序关系是解决区间q阶orthopair模糊(IVq-ROF)决策问题的关键环节,而可能度测度是重要工具之一。针对现有得分函数、精确函数和可能度测度无法处理的反直觉问题,提出一种基于IVq-ROF可能度的多属性决策方法。首先,定义IVq-ROF环境下的可能度测度,并讨论其相关性质;然后,通过解决反直觉问题的例子说明本文所提IVq-ROF可能度测度的可行性和优势性;最后,构建基于IVqROF可能度的多属性决策模型,并由两个算例分析现有可能度在IVq-ROF环境中扩展的适用性,验证本文所提方法的有效性与合理性。Determining the ordering relation of interval-valued q-rung orthopair fuzzy numbers(IVq-ROFNs)is the key to solve the issue of interval-valued q-rung orthopair fuzzy(IVq-ROF)decision-making.In this context,possibility measure is one of the important tools.To address the counter intuitive problem that existing score functions,accuracy functions and possibility measures cannot solve,a multi-attribute decision-making method based on IVq-ROF possibility degree is proposed.Firstly,the possibility measure in IVq-ROF environment is defined,and its related properties are discussed.Then,through some counter intuitive examples,the feasibility and superiority of the IVq-ROF possibility measure are illustrated.Finally,a multi-attribute decision-making model based on IVq-ROF possibility degree is established.Also,two numerical examples are given to analyze the applicability of the existing possibility degree in IVq-ROF environment and verify the effectiveness and rationality of the proposed method.

关 键 词：区间q阶orthopair模糊数(IVq-ROFNs) 可能度测度 多属性决策 反直觉 

分 类 号：F406.14[经济管理—产业经济] O225[理学—运筹学与控制论] O159[理学—数学]