Group decision making based on linguistic interval-valued Atanassov intuitionistic fuzzy Yager weighted arithmetic aggregation operator of linguistic interval-valued Atanassov intuitionistic fuzzy numbers

被引：0
|
作者：
Kumar K. [1 ]
Chen S.-M. [2 ]
机构：
[1] Department of Mathematics, Amity University Haryana, Gurugram
[2] Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei
来源：
Information Sciences | 2024年 / 670卷
关键词：
Aggregation operator; GDM; Linguistic interval-valued Atanassov intuitionistic fuzzy set; Linguistic score function; Linguistic term; Yager's norm;
D O I：
10.1016/j.ins.2024.120517
中图分类号：
学科分类号：
摘要：
In this paper, we propose a noval addition operation (AOP) and a novel scalar multiplication operation (SMOP) of linguistic interval-valued Atanassov intuitionistic fuzzy numbers (LIVAIFNs) based on Yager's t-conorm and t-norm. The proposed AOP and the proposed SMOP of LIVAIFNs can conquer the shortcomings of the existing AOP and the existing SMOP of LIVAIFNs. Based on the proposed AOP and the proposed SMOP of LIVAIFNs, we propose the linguistic interval-valued Atanassov intuitionistic fuzzy Yager weighted arithmetic (LIVAIYFWA) aggregation operator (AO) of LIVAIFNs. We also prove some properties of the proposed LIVAIFYWA AO of LIVAIFNs. Moreover, by using the proposed LIVAIFYWA AO of LIVAIFNs, we propose a noval group decision making (GDM) method. The proposed GDM method can conquer the drawbacks of the existing GDM methods in the context of LIVAIFNs. © 2024 Elsevier Inc.
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