Circular Intuitionistic Fuzzy ELECTRE III Model for Group Decision Analysis

IF 3.3 4区 计算机科学 Q2 COMPUTER SCIENCE, INFORMATION SYSTEMS Informatica Pub Date : 2023-11-17 DOI:10.15388/23-infor536
Binyamin Yusoff, Dian Pratama, Adem Kilicman, Lazim Abdullah
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Abstract

ELECTRE III is a well-established outranking relation model used to address the ranking of alternatives in multi-criteria and multi-actor decision-making problems. It has been extensively studied across various scientific fields. Due to the complexity of decision-making under uncertainty, some higher-order fuzzy sets have been proposed to effectively model this issue. Circular Intuitionistic Fuzzy Set (CIFS) is one such set recently introduced to handle uncertain IF values. In CIFS, each element of the set is characterized by a circular area with a radius, r and membership/non-membership degrees as the centre. This paper introduces CIF-ELECTRE III, an extension of ELECTRE III within the CIFS framework, for group decision analysis. To achieve this, we define extensions for the group decision matrix and group weighting vector based on CIFS conditions, particularly focusing on optimistic and pessimistic attitudes. These attitudinal characters of the group of actors are constructed using conditional rules to ensure that each element of the set falls within the circular area. Parameterized by $\alpha \in [0,1]$ for the net score degree, we conduct an extensive analysis of group decision-making between optimistic and pessimistic attitudes. To illustrate the applicability of the proposed model, we provide a numerical example of the stock-picking process. Additionally, we conduct a comparative analysis with existing sets and perform sensitivity analyses to validate the results of the proposed model. PDF  XML
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群体决策分析的循环直觉模糊ELECTRE III模型
ELECTRE III是一个完善的排序关系模型,用于解决多标准和多参与者决策问题中的备选方案排序。它已经在各个科学领域得到了广泛的研究。由于不确定条件下决策的复杂性,提出了一些高阶模糊集来对该问题进行有效的建模。循环直觉模糊集(Circular intuistic Fuzzy Set, CIFS)是最近引入的一种用于处理不确定中频值的集合。在CIFS中,集合中的每个元素都以半径r和隶属度/非隶属度为中心的圆形区域来表示。本文介绍了用于群决策分析的CIF-ELECTRE III,它是在CIFS框架下对ELECTRE III的扩展。为了实现这一点,我们定义了基于CIFS条件的群体决策矩阵和群体权重向量的扩展,特别关注乐观和悲观态度。这些行为者组的态度特征是使用条件规则构建的,以确保集合的每个元素都落在圆形区域内。以$\alpha \in[0,1]$作为净得分度的参数,我们对乐观态度和悲观态度之间的群体决策进行了广泛的分析。为了说明所提出的模型的适用性,我们提供了一个选股过程的数值例子。此外,我们与现有集合进行了比较分析,并进行了敏感性分析,以验证所提出模型的结果。pdf  XML
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来源期刊
Informatica
Informatica 工程技术-计算机:信息系统
CiteScore
5.90
自引率
6.90%
发文量
19
审稿时长
12 months
期刊介绍: The quarterly journal Informatica provides an international forum for high-quality original research and publishes papers on mathematical simulation and optimization, recognition and control, programming theory and systems, automation systems and elements. Informatica provides a multidisciplinary forum for scientists and engineers involved in research and design including experts who implement and manage information systems applications.
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