EDAS Method for Multi-Criteria Group Decision Making Based on Intuitionistic Fuzzy Rough Aggregation Operators

粗集 EDAS系统 群体决策 数学 操作员(生物学) 加权几何平均数 模糊集 数学优化 群(周期表) 模糊逻辑 计算机科学 算法 域代数上的 人工智能 几何平均数 纯数学 统计 基因 转录因子 生物化学 抑制因子 分布估计算法 有机化学 化学 法学 政治学
作者
Ronnason Chinram,Azmat Hussain,Tahir Mahmood,Muhammad Irfan Ali
出处
期刊:IEEE Access [Institute of Electrical and Electronics Engineers]
卷期号:9: 10199-10216 被引量:52
标识
DOI:10.1109/access.2021.3049605
摘要

The primitive notions of rough sets and intuitionistic fuzzy set (IFS) are general mathematical tools having the ability to handle the uncertain and imprecise knowledge easily. EDAS (Evaluation based on distance from average solution) method has a significant role in decision making problems, especially when more conflicting criteria exist in multicriteria group decision making (MCGDM) problems. The aim of this manuscript is to present intuitionistic fuzzy roughEDAS (IFREDAS) method based on IF rough averaging and geometric aggregation operators. In addition, we put forward the concept of IF rough weighted averaging (IFRWA), IF rough ordered weighted averaging (IFROWA) and IF rough hybrid averaging (IFRHA) aggregation operators. Furthermore, the concepts of IF rough weighted geometric (IFRWG), IF rough ordered weighted geometric (IFROWG) and IF rough hybrid geometric (IFRHG) aggregation operators are investigated. The basic desirable characteristics of the investigated operator are given in detail. A new score and accuracy functions are defined for the proposed operators. Next, IFR-EDAS model for MCGDM and their stepwise algorithm are demonstrated by utilizing the proposed approach. Finally, a numerical example for the developed model is presented and a comparative study of the investigated models with some existing methods are expressed broadly which show that the investigated models are more effective and useful than the existing approaches.

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