一种基于区间值 Pythagorean 三角模糊语言集的多准则决策方法

doi:10.12066/j.issn.1007-2861.2175

上海大学学报(自然科学版) ›› 2021, Vol. 27 ›› Issue (1): 190-207.doi: 10.12066/j.issn.1007-2861.2175

一种基于区间值 Pythagorean 三角模糊语言集的多准则决策方法

丁雪枫(), 钟俊慧

上海大学管理学院, 上海 200444

收稿日期:2018-11-27 出版日期:2021-02-28 发布日期:2021-02-28
通讯作者: 丁雪枫 E-mail:tju@sina.com
作者简介:丁雪枫(1980---), 女, 副教授, 博士, 研究方向为不确定性理论与方法、应急决策与风险管理等. E-mail: athena- tju@sina.com
基金资助:
国家自然科学基金资助项目(71502098);上海市"科技创新行动计划"软科学研究领域重点资助项目(19692109000);上海市科技计划资助项目(20692109400);上海大学管理学院培育专项资助项目(2020-SDGY-KZ-003)

Multi-criteria decision-making method based on an interval-valued Pythagorean triangular fuzzy linguistic set

DING Xuefeng(), ZHONG Junhui

School of Management, Shanghai University, Shanghai 200444, China

Received:2018-11-27 Online:2021-02-28 Published:2021-02-28
Contact: DING Xuefeng E-mail:tju@sina.com

摘要/Abstract

摘要：

为提升不确定环境下信息描述的准确性, 提出了区间值勾股三角模糊语言集(interval-valued pythagorean triangular fuzzy linguistic set, IVPTrFLS), 并研究了区间值勾股三角模糊语言变量(IVPTrFL variable, IVPTrFLV)相关的基本理论. 同时, 针对区间值勾股三角模糊语言环境的多准则决策问题, 提出了一种改进的基于区间的组合评价(combinative distance-based assessment, CODAS)方法, 即 IVPTrFL-CODAS 法. 首先, 定义了 IVPTrFLV 的概念、运算法则、Score 函数、Accuracy 函数及距离公式, 提出了区间值勾股三角模糊语言优先加权(IVPTrFL prioritized weighted arithmetic averaging, IVPTrFLPWAA)算子, 并对计算规则及算子性质给予证明; 然后, 通过求解属性权重的相对重要性系数, 建立了基于 IVPTrFLV 的改进 CODAS 方法; 最后, 通过实例对所提出方法的有效性及稳定性进行了验证.

关键词: 区间值勾股三角模糊语言, 基于区间的组合评价方法, 多准则决策

Abstract:

To improve the accuracy of information descriptions in uncertain environments, an interval-valued Pythagorean triangular fuzzy linguistic set is proposed, and basic theories of interval-valued Pythagorean triangular fuzzy linguistic variables (IVPTrFLVs) are critically examined. In addition, an improved combinative distance-based assessment (CODAS) method for solving multi-criteria decision-making problems is developed. First, this study defines the IVPTrFLVs, operational rules, score function, accuracy function, and the formulas for calculating Hamming, Euclidean, and Taxicab distances. An IVPTrFL weighted arithmetic averaging (IVPTrFLPWAA) operator is proposed. Then, by calculating the relative importance coefficient of criteria weight, the study establishes an improved CODAS method based on IVPTrFLVs. Finally, the validity and stability of the proposed method are verified through an example.

Key words: interval-valued Pythagorean triangular fuzzy linguistic variable (IVPTrFLV), combinative distance-based assessment (CODAS), multi-criteria decision-making

中图分类号:

N949

丁雪枫, 钟俊慧. 一种基于区间值 Pythagorean 三角模糊语言集的多准则决策方法[J]. 上海大学学报(自然科学版), 2021, 27(1): 190-207.

DING Xuefeng, ZHONG Junhui. Multi-criteria decision-making method based on an interval-valued Pythagorean triangular fuzzy linguistic set[J]. Journal of Shanghai University（Natural Science Edition）, 2021, 27(1): 190-207.

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一种基于区间值 Pythagorean 三角模糊语言集的多准则决策方法

Multi-criteria decision-making method based on an interval-valued Pythagorean triangular fuzzy linguistic set

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