Fermatean Hesitant Fuzzy Prioritized Heronian Mean Operator and Its Application in Multi-Attribute Decision Making

被引:9
|
作者
Ruan, Chuan-Yang [1 ,2 ]
Chen, Xiang-Jing [1 ]
Han, Li-Na [3 ]
机构
[1] Guangdong Univ Finance & Econ, Sch Business Adm, Guangzhou 510320, Peoples R China
[2] Shanghai Jiao Tong Univ, Antai Coll Econ & Management, Shanghai 200030, Peoples R China
[3] Guangdong Inst Sci & Tech Informat, Guangzhou 510033, Peoples R China
来源
CMC-COMPUTERS MATERIALS & CONTINUA | 2023年 / 75卷 / 02期
关键词
Fermatean hesitant fuzzy set; multi -attribute decision -making; Heronian mean operator; prioritized operator; AGGREGATION OPERATORS; SETS;
D O I
10.32604/cmc.2023.035480
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In real life, incomplete information, inaccurate data, and the preferences of decision-makers during qualitative judgment would impact the process of decision-making. As a technical instrument that can successfully handle uncertain information, Fermatean fuzzy sets have recently been used to solve the multi-attribute decision-making (MADM) problems. This paper proposes a Fermatean hesitant fuzzy information aggregation method to address the problem of fusion where the membership, non-membership, and priority are considered simultaneously. Combining the Fermatean hesitant fuzzy sets with Heronian Mean operators, this paper proposes the Fermatean hesitant fuzzy Heronian mean (FHFHM) operator and the Fermatean hesithe priority relationship between attributes is often easier to obtain than the weight of attributes, this paper defines a new Fermatean hesitant fuzzy prioritized Heronian mean operator (FHFPHM), and discusses its elegant properties such as idempotency, boundedness and monotonicity in detail. Later, for problems with unknown weights and the Fermatean hesitant fuzzy information, a MADM approach based on prioritized attributes is proposed, which can effectively depict the correlation between attributes and avoid the influence of subjective factors on the results. Finally, a numerical example of multi-sensor electronic surveillance is applied to verify the feasibility and validity of the method proposed in this paper.
引用
收藏
页码:3203 / 3222
页数:20
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